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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationFri, 30 Dec 2016 19:48:12 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/30/t1483123843qiugb8uz2hpn5h8.htm/, Retrieved Fri, 01 Nov 2024 03:35:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=303125, Retrieved Fri, 01 Nov 2024 03:35:34 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact199

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [sebeast] [2016-12-30 18:48:12] [0322fd795ae9677248b5e0ab4dbb14a1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
156.3
177.2
192.2
176.0
176.2
167.0
175.4
173.9
170.9
161.7
175.6
180.5
173.6
162.1
170.7
171.1
165.7
180.1
165.5
171.2
171.1
165.3
173.6
185.5
156.8
166.0
181.7
156.4
170.0
176.0
175.0
163.4
171.5
163.2
191.6
164.6
189.1
188.2
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163.2
154.6
170.8
197.3
161.2
156.6
166.0
168.7
172.0
169.9
175.8
175.2
164.1
169.7
177.3
160.5
175.5
186.3
175.6
177.3
183.7
161.2
159.9
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174.5
149.4
180.4
171.4
189.0
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166.9
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167.6
174.1
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174.2
179.2
192.1
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162.1
168.8
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162.9
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157.9
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178.6
167.3
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187.8
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184.4
153.2
185.3
177.3
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171.1
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184.3
158.6
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151.6
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168.9
170.5
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163.5
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169.0
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180.3
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169.2
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178.4
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178.2
155.3
162.2
187.4
169.4
160.7
161.8
168.6
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154.6
158.2
177.4
185.9
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169.8
178.9
189.3
177.8
172.7
167.8
162.9
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159.8
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160.6
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157.1
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151.7
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181.1
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165.6
158.6
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184.1
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179.1
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177.8
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160.2
170.8
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167.7
177.5
171.2
177.7
178.0
172.7
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171.1
173.5
173.1
166.9
169.5
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168.8
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159.4
169.6
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164.8
168.9
172.0
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161.5
166.2
176.2
171.6
180.3
173.2
169.4
172.8
174.6
167.2
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166.5
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183.3
156.1
157.2
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177.7
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160.4
160.8
159.7
168.8
161.0
166.9
183.8
175.4
173.6
183.6
189.6
179.6
165.8
182.1
173.9
178.7
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178.6
180.2
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155.8
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173.4
177.4
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163.3
170.2
154.9
181.3
191.2
159.4
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160.3
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167.5
159.9
185.2
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177.6
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177.5
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180.7
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170.9
176.0
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184.6
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168.9
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189.4
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166.2
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164.8
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171.8
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182.2
171.9
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172.3
165.0
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176.5
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168.4
162.6
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180.9
171.8
159.4
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191.4
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153.9
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167.2
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169.9
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179.4
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163.6
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156.2
172.6
169.1
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161.9
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180.4
156.2
180.8
196.7
152.2
167.3
184.7
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176.5
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186.1
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192.6
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169.4
170.9
165.7
172.1
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176.3
171.4
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170.3
156.5
177.9
162.0
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164.3
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158.2
157.8
175.1
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165.5
171.0
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170.6
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153.8
164.7
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178.9
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159.5
166.1
168.3
177.4
175.9
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154.5
166.7
166.1
160.9
175.2
172.4
167.2
166.6
185.9
181.7
174.5
149.0
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193.6
160.5
156.0
166.7
165.1
178.1
178.9
168.4
175.6
176.9
182.8
170.2
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181.4
160.3
182.8
166.7
161.0
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161.3
183.5
160.8
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158.4
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159.0
169.6
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161.8
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164.3
167.3
165.9
170.3
184.6
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176.8
178.1
172.2
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160.8
183.1
167.6
173.2
167.7
195.5
201.3
174.6
161.7
163.1
185.0
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169.0
160.5
147.9
152.3
168.8
145.9
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189.9
159.8
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157.4
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167.7
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194.9
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176.6
158.0
157.4
169.9
177.3
179.5
171.5
178.4
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159.7
166.3
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168.8
157.9
181.8
170.0
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171.9
175.5
168.9
176.3
182.4
186.5
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179.2
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177.9
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160.2
167.1
160.7
176.8
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175.3
175.9
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162.2
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161.3
184.1
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172.9
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178.4
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156.2
188.8
180.1
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177.9
189.3
174.1
178.7
172.1
186.0
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168.5
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164.6
165.5
178.3
164.1
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143.9
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177.5
159.5
161.9
172.5
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171.5
178.3
175.3
170.7
160.8
166.6
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160.5
165.7
164.9
159.3
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179.5
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169.5
178.7
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146.7
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155.3
158.3
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179.5
171.9
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180.8
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173.6
172.9
185.4
164.7
159.9
181.7
172.6
173.7
173.5
171.9
161.2
168.2
155.3
178.1
176.9
176.0
179.9
184.8
168.4
160.7
156.3
177.2
192.2
176.0
176.2
167.0
175.4
173.9
170.9
161.7
175.6
180.5
173.6
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170.7
171.1
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180.1
165.5
171.2
171.1
165.3
173.6
185.5
156.8
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181.7
156.4
170.0
176.0
175.0
163.4
171.5
163.2
191.6
164.6
189.1
188.2
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163.2
154.6
170.8
197.3
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156.6
166.0
168.7
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169.9
175.8
175.2
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169.7
177.3
160.5
175.5
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175.6
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183.7
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159.9
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174.5
149.4
180.4
171.4
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171.8
166.9
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174.2
179.2
192.1
182.1
162.1
168.8
182.8
172.6
184.8
186.2
172.0
180.2
177.1
165.1
178.2
163.3
187.1
168.3
166.1
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162.9
166.0
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163.5
167.4
180.4
180.3
163.7
180.4
157.9
176.8
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182.7
178.6
167.3
167.0
166.0
163.1
187.8
171.8
156.7
184.4
153.2
185.3
177.3
168.1
171.1
167.9
184.3
158.6
188.6
151.6
171.8
168.9
170.5
186.0
183.3
163.5
173.4
165.5
178.5
167.4
182.5
186.0
168.8
165.0
182.5
163.9
158.7
174.3
171.7
150.7
176.1
167.7
184.1
165.2
181.3
166.4
173.9
159.0
166.8
171.5
182.1
150.1
170.7
169.0
172.4
173.2
175.4
156.6
172.6
168.3
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170.7
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173.3
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184.6
167.4
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164.9
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153.3
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173.3
177.5
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159.4
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175.5
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167.3
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167.8
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173.9
168.2
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169.6
169.0
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152.9
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175.6
175.2
180.3
186.3
177.8
178.9
178.2
169.2
177.7
152.7
173.6
168.0
152.0
180.7
172.1
172.9
169.7
178.4
162.7
150.7
178.2
155.3
162.2
187.4
169.4
160.7
161.8
168.6
173.1
154.6
158.2
177.4
185.9
153.0
166.7
169.8
178.9
189.3
177.8
172.7
167.8
162.9
172.4
173.7
159.8
172.5
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155.5
160.6
160.5
171.0
167.1
169.8
176.6
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157.1
169.7
190.5
176.1
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181.1
178.5
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158.6
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184.2
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153.0
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177.8
179.4
182.7
160.2
170.8
180.6
167.7
177.5
171.2
177.7
178.0
172.7
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171.1
173.5
173.1
166.9
169.5
157.2
168.8
171.2
159.4
169.6
158.2
164.8
168.9
172.0
153.1
179.3
169.3
161.5
166.2
176.2
171.6
180.3
173.2
169.4
172.8
174.6
167.2
175.5
181.9
160.2
166.5
176.2
183.3
156.1
157.2
165.0
177.7
162.0
177.9
160.4
160.8
159.7
168.8
161.0
166.9
183.8
175.4
173.6
183.6
189.6
179.6
165.8
182.1
173.9
178.7
160.5
178.6
180.2
174.7
155.8
186.1
160.8
173.4
177.4
175.3
166.4
163.8
163.3
170.2
154.9
181.3
191.2
159.4
169.7
176.5
159.1
159.4
160.3
167.2
167.5
159.9
185.2
172.3
177.6
162.9
177.1
177.5
175.1
180.7
159.6
175.8
170.9
176.0
158.2
160.1
172.0
173.5
183.4
166.4
174.5
161.4
162.5
159.6
192.4
143.3
175.5
163.2
184.6
175.7
175.4
168.9
187.8
175.4
152.6
155.7
171.0
174.1
163.5
182.5
182.0
168.0
160.7
177.2
171.6
164.3
189.4
177.2
181.8
172.7
170.0
150.3
173.9
174.0
182.6
166.2
176.3
164.8
185.7
171.8
170.3
185.5
182.2
171.9
168.2
172.3
165.0
147.9
176.5
179.1
168.4
162.6
176.2
180.9
171.8
159.4
160.2
173.9
155.6
164.7
182.2
191.4
157.2
158.6
153.9
171.3
167.2
176.2
160.8
176.8
169.9
173.5
161.7
185.5
145.9
163.3
167.2
179.4
172.4
173.8
167.1
177.9
151.3
177.0
161.1
193.4
172.1
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184.4
180.2
164.9
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187.5
158.3
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180.7
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155.0
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189.6
149.9
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177.5
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162.7
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172.7
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165.3
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153.5
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177.4
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178.7
180.4
167.5
184.8
181.6
179.6
165.8
164.6
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157.6
178.0
164.7
172.5
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149.2
164.9
163.2
165.1
187.0
176.4
163.1
176.4
161.1
173.1
162.3
173.0
173.8
165.4
180.1
173.7
157.8
178.1
180.7
162.4
161.4
170.8
149.9
179.3
175.1
174.4
169.3
163.9
168.8
166.0
175.6
176.9
172.2
165.3
176.4
159.0
164.2
174.6
178.7
171.5
171.9
162.2
181.4
172.5
176.8
178.7
173.2
169.8
183.9
160.6
162.1
171.8
177.2
172.8
157.3
157.5
161.7
168.6
160.6
164.1
176.8
172.6
180.5
155.5
177.8
166.4
157.5
170.0
173.9
163.0
167.0
170.4
168.0
144.0
167.5
172.1
175.0
163.6
176.3
169.7
164.9
172.8
162.0
168.5
176.6
185.7
187.8
167.5
161.5
178.8
177.6
171.4
175.7
174.3
182.9
161.5
188.0
176.1
168.9
171.0
150.3
151.0
160.2
178.2
189.5
154.7
166.8
170.2
167.9
197.2
173.0
183.4
163.6
164.0
177.5
165.3
156.2
172.6
169.1
168.9
161.9
162.4
160.0
180.4
156.2
180.8
196.7
152.2
167.3
184.7
184.2
176.5
155.8
156.7
186.1
162.3
192.6
169.8
173.4
169.4
170.9
165.7
172.1
174.0
176.3
171.4
174.8
155.7
145.4
170.3
156.5
177.9
162.0
182.3
164.3
168.0
155.8
167.3
158.2
157.8
175.1
168.2
165.5
171.0
169.0
169.5
170.6
163.5
174.6
183.0
157.3
155.5
171.9
153.8
164.7
173.0
163.7
182.6
183.0
168.9
172.9
162.7
162.8
178.1
152.1
179.8
181.7
168.8
170.5
178.9
175.8
178.5
168.0
179.8
179.5
166.8
175.2
169.8
159.5
166.1
168.3
177.4
175.9
170.4
175.1
154.5
166.7
166.1
160.9
175.2
172.4
167.2
166.6
185.9
181.7
174.5
149.0
176.3
193.6
160.5
156.0
166.7
165.1
178.1
178.9
168.4
175.6
176.9
182.8
170.2
175.2
181.4
160.3
182.8
166.7
161.0
164.0
181.8
161.3
183.5
160.8
168.3
158.4
165.1
159.0
169.6
183.5
161.8
185.0
169.9
151.1
167.5
164.3
167.3
165.9
170.3
184.6
165.6
176.8
178.1
172.2
162.2
160.8
183.1
167.6
173.2
167.7
195.5
201.3
174.6
161.7
163.1
185.0
168.0
169.0
160.5
147.9
152.3
168.8
145.9
150.2
189.9
159.8
177.1
162.4
164.8
157.4
165.6
158.0
152.1
185.3
167.7
178.6
165.3
157.6
194.9
168.3
176.6
158.0
157.4
169.9
177.3
179.5
171.5
178.4
167.4
159.7
166.3
183.6
160.4
169.8
183.3
168.8
157.9
181.8
170.0
173.8
171.9
175.5
168.9
176.3
182.4
186.5
172.3
165.5
182.2
179.2
182.8
177.9
172.8
160.2
167.1
160.7
176.8
156.0
165.7
175.3
175.9
162.3
162.2
174.4
161.3
184.1
166.2
172.9
165.0
178.4
172.1
156.2
188.8
180.1
165.3
177.9
189.3
174.1
178.7
172.1
186.0
173.1
174.9
168.5
150.9
175.6
164.6
165.5
178.3
164.1
175.4
143.9
179.5
177.5
159.5
161.9
172.5
165.0
182.0
171.5
178.3
175.3
170.7
160.8
166.6
174.0
192.0
176.4
169.0
150.2
160.5
165.7
164.9
159.3
163.9
179.5
177.0
171.3
177.8
162.9
153.3
169.0
164.0
175.9
159.3
168.1
161.8
169.5
178.7
180.3
170.0
157.8
174.6
163.5
165.6
146.7
168.0
155.3
158.3
161.7
168.7
179.5
171.9
175.1
180.8
177.1
173.6
172.9
185.4
164.7
159.9
181.7
172.6
173.7
173.5
171.9
161.2
168.2
155.3
178.1
176.9
176.0
179.9
184.8
168.4
160.7
156.2
190.0
187.3
152.1
149.6

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303125&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=303125&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303125&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.01149149149149149.188149149149
0.02150.66150.668150.7150.7150.7150.7150.332150.7
0.03151.955151.964152152152152151.736152
0.04153153153153153.076153153153
0.05154.6154.6154.6154.6154.67154.6154.6154.6
0.06155.6155.6155.6155.6155.664155.6155.6155.6
0.07156.2156.2156.2156.2156.2156.2156.2156.2
0.08156.86156.868156.9156.9156.9156.9156.832156.9
0.09157.5157.5157.5157.5157.5157.5157.5157.5
0.1157.95157.96158158158158157.94158
0.11158.345158.356158.4158.4158.4158.3158.344158.4
0.12159.14159.152159.2159.2159.2159.1159.148159.2
0.13159.535159.548159.6159.6159.6159.5159.552159.5
0.14160.03160.044160.1160.1160.1160160.056160
0.15160.4160.4160.4160.4160.4160.4160.4160.4
0.16160.6160.6160.6160.6160.6160.6160.6160.6
0.17160.8160.8160.8160.8160.8160.8160.8160.8
0.18161.21161.228161.3161.3161.292161.2161.272161.2
0.19161.7161.7161.7161.7161.7161.7161.7161.7
0.2162162162162162162162162
0.21162.2162.2162.2162.2162.2162.2162.2162.2
0.22162.4162.412162.4162.4162.468162.4162.488162.4
0.23162.9162.9162.9162.9162.9162.9162.9162.9
0.24163.2163.2163.2163.2163.2163.2163.2163.2
0.25163.5163.5163.5163.5163.5163.5163.5163.5
0.26163.9163.9163.9163.9163.944163.9163.9163.9
0.27164.3164.3164.3164.3164.3164.3164.3164.3
0.28164.8164.8164.8164.8164.8164.8164.8164.8
0.29165165165165165165165165
0.3165.3165.3165.3165.3165.3165.3165.3165.3
0.31165.5165.5165.5165.5165.514165.5165.5165.5
0.32165.7165.7165.7165.7165.708165.7165.7165.7
0.33166.1166.1166.1166.1166.1166.1166.1166.1
0.34166.4166.4166.4166.4166.4166.4166.4166.4
0.35166.7166.7166.7166.7166.7166.7166.7166.7
0.36167167167167167167167167
0.37167.2167.2167.2167.2167.2167.2167.2167.2
0.38167.5167.5167.5167.5167.5167.5167.5167.5
0.39167.7167.7167.7167.7167.7167.7167.7167.7
0.4168168168168168168168168
0.41168.2168.2168.2168.2168.2168.2168.2168.2
0.42168.49168.5168.5168.5168.5168.5168.5168.5
0.43168.8168.8168.8168.8168.8168.8168.8168.8
0.44168.9168.9168.9168.9168.9168.9168.9168.9
0.45169.3169.3169.3169.3169.3169.3169.3169.3
0.46169.67169.7169.7169.7169.7169.7169.7169.7
0.47169.8169.8169.8169.8169.8169.8169.8169.8
0.48170170170170170170170170
0.49170.4170.4170.4170.4170.4170.4170.4170.4
0.5170.8170.8170.8170.8170.8170.8170.8170.8
0.51171.045171.096171.1171.1171.094171171.004171.1
0.52171.4171.4171.4171.4171.4171.4171.4171.4
0.53171.735171.788171.8171.8171.782171.7171.712171.8
0.54171.9171.9171.9171.9171.9171.9171.9171.9
0.55172.1172.1172.1172.1172.1172.1172.1172.1
0.56172.3172.3172.3172.3172.3172.3172.3172.3
0.57172.6172.6172.6172.6172.6172.6172.6172.6
0.58172.71172.768172.8172.8172.752172.7172.732172.8
0.59173173173173173173173173
0.6173.2173.26173.2173.25173.24173.2173.24173.3
0.61173.5173.556173.5173.5173.534173.5173.544173.6
0.62173.8173.8173.8173.8173.8173.8173.8173.8
0.63174174174174174174174174
0.64174.4174.4174.4174.4174.4174.4174.4174.4
0.65174.6174.64174.6174.6174.61174.6174.66174.6
0.66175.1175.1175.1175.1175.1175.1175.1175.1
0.67175.3175.3175.3175.3175.3175.3175.3175.3
0.68175.5175.5175.5175.5175.5175.5175.5175.5
0.69175.6175.624175.6175.6175.6175.6175.676175.6
0.7176176176176176176176176
0.71176.2176.2176.2176.2176.2176.2176.2176.2
0.72176.4176.412176.4176.4176.4176.4176.488176.4
0.73176.8176.8176.8176.8176.8176.8176.8176.8
0.74177.1177.1177.1177.1177.1177.1177.1177.1
0.75177.3177.3177.3177.3177.3177.3177.3177.3
0.76177.5177.5177.5177.5177.5177.5177.5177.5
0.77177.8177.8177.8177.8177.8177.8177.8177.8
0.78178.1178.1178.1178.1178.1178.1178.1178.1
0.79178.4178.4178.4178.4178.4178.4178.4178.4
0.8178.7178.7178.7178.7178.7178.7178.7178.7
0.81178.9178.9178.9178.9178.9178.9178.9178.9
0.82179.49179.5179.5179.5179.5179.5179.5179.5
0.83179.785179.8179.8179.8179.8179.8179.8179.8
0.84180.2180.2180.2180.2180.2180.2180.2180.2
0.85180.4180.4180.4180.4180.4180.4180.4180.4
0.86180.8180.8180.8180.8180.8180.8180.8180.8
0.87181.7181.7181.7181.7181.7181.7181.7181.7
0.88182.1182.1182.1182.1182.1182.1182.1182.1
0.89182.5182.5182.5182.5182.5182.5182.5182.5
0.9182.85182.9182.9182.9182.86182.9182.9182.9
0.91183.445183.5183.5183.5183.454183.4183.5183.5
0.92184.14184.2184.2184.2184.148184.1184.2184.2
0.93184.8184.8184.8184.8184.8184.8184.8184.8
0.94185.5185.5185.5185.5185.5185.5185.5185.5
0.95186.125186.2186.2186.2186.13186.1186.2186.2
0.96187.8187.8187.8187.8187.8187.8187.8187.8
0.97189.3189.3189.3189.3189.3189.3189.3189.3
0.98190.57191.2191.2191.2190.584190.5191.2191.2
0.99192.64193.4193.4193.4192.648192.6193.4193.4

\begin{tabular}{lllllllll}
\hline
Percentiles - Ungrouped Data \tabularnewline
p & Weighted Average at Xnp & Weighted Average at X(n+1)p & Empirical Distribution Function & Empirical Distribution Function - Averaging & Empirical Distribution Function - Interpolation & Closest Observation & True Basic - Statistics Graphics Toolkit & MS Excel (old versions) \tabularnewline
0.01 & 149 & 149 & 149 & 149 & 149.188 & 149 & 149 & 149 \tabularnewline
0.02 & 150.66 & 150.668 & 150.7 & 150.7 & 150.7 & 150.7 & 150.332 & 150.7 \tabularnewline
0.03 & 151.955 & 151.964 & 152 & 152 & 152 & 152 & 151.736 & 152 \tabularnewline
0.04 & 153 & 153 & 153 & 153 & 153.076 & 153 & 153 & 153 \tabularnewline
0.05 & 154.6 & 154.6 & 154.6 & 154.6 & 154.67 & 154.6 & 154.6 & 154.6 \tabularnewline
0.06 & 155.6 & 155.6 & 155.6 & 155.6 & 155.664 & 155.6 & 155.6 & 155.6 \tabularnewline
0.07 & 156.2 & 156.2 & 156.2 & 156.2 & 156.2 & 156.2 & 156.2 & 156.2 \tabularnewline
0.08 & 156.86 & 156.868 & 156.9 & 156.9 & 156.9 & 156.9 & 156.832 & 156.9 \tabularnewline
0.09 & 157.5 & 157.5 & 157.5 & 157.5 & 157.5 & 157.5 & 157.5 & 157.5 \tabularnewline
0.1 & 157.95 & 157.96 & 158 & 158 & 158 & 158 & 157.94 & 158 \tabularnewline
0.11 & 158.345 & 158.356 & 158.4 & 158.4 & 158.4 & 158.3 & 158.344 & 158.4 \tabularnewline
0.12 & 159.14 & 159.152 & 159.2 & 159.2 & 159.2 & 159.1 & 159.148 & 159.2 \tabularnewline
0.13 & 159.535 & 159.548 & 159.6 & 159.6 & 159.6 & 159.5 & 159.552 & 159.5 \tabularnewline
0.14 & 160.03 & 160.044 & 160.1 & 160.1 & 160.1 & 160 & 160.056 & 160 \tabularnewline
0.15 & 160.4 & 160.4 & 160.4 & 160.4 & 160.4 & 160.4 & 160.4 & 160.4 \tabularnewline
0.16 & 160.6 & 160.6 & 160.6 & 160.6 & 160.6 & 160.6 & 160.6 & 160.6 \tabularnewline
0.17 & 160.8 & 160.8 & 160.8 & 160.8 & 160.8 & 160.8 & 160.8 & 160.8 \tabularnewline
0.18 & 161.21 & 161.228 & 161.3 & 161.3 & 161.292 & 161.2 & 161.272 & 161.2 \tabularnewline
0.19 & 161.7 & 161.7 & 161.7 & 161.7 & 161.7 & 161.7 & 161.7 & 161.7 \tabularnewline
0.2 & 162 & 162 & 162 & 162 & 162 & 162 & 162 & 162 \tabularnewline
0.21 & 162.2 & 162.2 & 162.2 & 162.2 & 162.2 & 162.2 & 162.2 & 162.2 \tabularnewline
0.22 & 162.4 & 162.412 & 162.4 & 162.4 & 162.468 & 162.4 & 162.488 & 162.4 \tabularnewline
0.23 & 162.9 & 162.9 & 162.9 & 162.9 & 162.9 & 162.9 & 162.9 & 162.9 \tabularnewline
0.24 & 163.2 & 163.2 & 163.2 & 163.2 & 163.2 & 163.2 & 163.2 & 163.2 \tabularnewline
0.25 & 163.5 & 163.5 & 163.5 & 163.5 & 163.5 & 163.5 & 163.5 & 163.5 \tabularnewline
0.26 & 163.9 & 163.9 & 163.9 & 163.9 & 163.944 & 163.9 & 163.9 & 163.9 \tabularnewline
0.27 & 164.3 & 164.3 & 164.3 & 164.3 & 164.3 & 164.3 & 164.3 & 164.3 \tabularnewline
0.28 & 164.8 & 164.8 & 164.8 & 164.8 & 164.8 & 164.8 & 164.8 & 164.8 \tabularnewline
0.29 & 165 & 165 & 165 & 165 & 165 & 165 & 165 & 165 \tabularnewline
0.3 & 165.3 & 165.3 & 165.3 & 165.3 & 165.3 & 165.3 & 165.3 & 165.3 \tabularnewline
0.31 & 165.5 & 165.5 & 165.5 & 165.5 & 165.514 & 165.5 & 165.5 & 165.5 \tabularnewline
0.32 & 165.7 & 165.7 & 165.7 & 165.7 & 165.708 & 165.7 & 165.7 & 165.7 \tabularnewline
0.33 & 166.1 & 166.1 & 166.1 & 166.1 & 166.1 & 166.1 & 166.1 & 166.1 \tabularnewline
0.34 & 166.4 & 166.4 & 166.4 & 166.4 & 166.4 & 166.4 & 166.4 & 166.4 \tabularnewline
0.35 & 166.7 & 166.7 & 166.7 & 166.7 & 166.7 & 166.7 & 166.7 & 166.7 \tabularnewline
0.36 & 167 & 167 & 167 & 167 & 167 & 167 & 167 & 167 \tabularnewline
0.37 & 167.2 & 167.2 & 167.2 & 167.2 & 167.2 & 167.2 & 167.2 & 167.2 \tabularnewline
0.38 & 167.5 & 167.5 & 167.5 & 167.5 & 167.5 & 167.5 & 167.5 & 167.5 \tabularnewline
0.39 & 167.7 & 167.7 & 167.7 & 167.7 & 167.7 & 167.7 & 167.7 & 167.7 \tabularnewline
0.4 & 168 & 168 & 168 & 168 & 168 & 168 & 168 & 168 \tabularnewline
0.41 & 168.2 & 168.2 & 168.2 & 168.2 & 168.2 & 168.2 & 168.2 & 168.2 \tabularnewline
0.42 & 168.49 & 168.5 & 168.5 & 168.5 & 168.5 & 168.5 & 168.5 & 168.5 \tabularnewline
0.43 & 168.8 & 168.8 & 168.8 & 168.8 & 168.8 & 168.8 & 168.8 & 168.8 \tabularnewline
0.44 & 168.9 & 168.9 & 168.9 & 168.9 & 168.9 & 168.9 & 168.9 & 168.9 \tabularnewline
0.45 & 169.3 & 169.3 & 169.3 & 169.3 & 169.3 & 169.3 & 169.3 & 169.3 \tabularnewline
0.46 & 169.67 & 169.7 & 169.7 & 169.7 & 169.7 & 169.7 & 169.7 & 169.7 \tabularnewline
0.47 & 169.8 & 169.8 & 169.8 & 169.8 & 169.8 & 169.8 & 169.8 & 169.8 \tabularnewline
0.48 & 170 & 170 & 170 & 170 & 170 & 170 & 170 & 170 \tabularnewline
0.49 & 170.4 & 170.4 & 170.4 & 170.4 & 170.4 & 170.4 & 170.4 & 170.4 \tabularnewline
0.5 & 170.8 & 170.8 & 170.8 & 170.8 & 170.8 & 170.8 & 170.8 & 170.8 \tabularnewline
0.51 & 171.045 & 171.096 & 171.1 & 171.1 & 171.094 & 171 & 171.004 & 171.1 \tabularnewline
0.52 & 171.4 & 171.4 & 171.4 & 171.4 & 171.4 & 171.4 & 171.4 & 171.4 \tabularnewline
0.53 & 171.735 & 171.788 & 171.8 & 171.8 & 171.782 & 171.7 & 171.712 & 171.8 \tabularnewline
0.54 & 171.9 & 171.9 & 171.9 & 171.9 & 171.9 & 171.9 & 171.9 & 171.9 \tabularnewline
0.55 & 172.1 & 172.1 & 172.1 & 172.1 & 172.1 & 172.1 & 172.1 & 172.1 \tabularnewline
0.56 & 172.3 & 172.3 & 172.3 & 172.3 & 172.3 & 172.3 & 172.3 & 172.3 \tabularnewline
0.57 & 172.6 & 172.6 & 172.6 & 172.6 & 172.6 & 172.6 & 172.6 & 172.6 \tabularnewline
0.58 & 172.71 & 172.768 & 172.8 & 172.8 & 172.752 & 172.7 & 172.732 & 172.8 \tabularnewline
0.59 & 173 & 173 & 173 & 173 & 173 & 173 & 173 & 173 \tabularnewline
0.6 & 173.2 & 173.26 & 173.2 & 173.25 & 173.24 & 173.2 & 173.24 & 173.3 \tabularnewline
0.61 & 173.5 & 173.556 & 173.5 & 173.5 & 173.534 & 173.5 & 173.544 & 173.6 \tabularnewline
0.62 & 173.8 & 173.8 & 173.8 & 173.8 & 173.8 & 173.8 & 173.8 & 173.8 \tabularnewline
0.63 & 174 & 174 & 174 & 174 & 174 & 174 & 174 & 174 \tabularnewline
0.64 & 174.4 & 174.4 & 174.4 & 174.4 & 174.4 & 174.4 & 174.4 & 174.4 \tabularnewline
0.65 & 174.6 & 174.64 & 174.6 & 174.6 & 174.61 & 174.6 & 174.66 & 174.6 \tabularnewline
0.66 & 175.1 & 175.1 & 175.1 & 175.1 & 175.1 & 175.1 & 175.1 & 175.1 \tabularnewline
0.67 & 175.3 & 175.3 & 175.3 & 175.3 & 175.3 & 175.3 & 175.3 & 175.3 \tabularnewline
0.68 & 175.5 & 175.5 & 175.5 & 175.5 & 175.5 & 175.5 & 175.5 & 175.5 \tabularnewline
0.69 & 175.6 & 175.624 & 175.6 & 175.6 & 175.6 & 175.6 & 175.676 & 175.6 \tabularnewline
0.7 & 176 & 176 & 176 & 176 & 176 & 176 & 176 & 176 \tabularnewline
0.71 & 176.2 & 176.2 & 176.2 & 176.2 & 176.2 & 176.2 & 176.2 & 176.2 \tabularnewline
0.72 & 176.4 & 176.412 & 176.4 & 176.4 & 176.4 & 176.4 & 176.488 & 176.4 \tabularnewline
0.73 & 176.8 & 176.8 & 176.8 & 176.8 & 176.8 & 176.8 & 176.8 & 176.8 \tabularnewline
0.74 & 177.1 & 177.1 & 177.1 & 177.1 & 177.1 & 177.1 & 177.1 & 177.1 \tabularnewline
0.75 & 177.3 & 177.3 & 177.3 & 177.3 & 177.3 & 177.3 & 177.3 & 177.3 \tabularnewline
0.76 & 177.5 & 177.5 & 177.5 & 177.5 & 177.5 & 177.5 & 177.5 & 177.5 \tabularnewline
0.77 & 177.8 & 177.8 & 177.8 & 177.8 & 177.8 & 177.8 & 177.8 & 177.8 \tabularnewline
0.78 & 178.1 & 178.1 & 178.1 & 178.1 & 178.1 & 178.1 & 178.1 & 178.1 \tabularnewline
0.79 & 178.4 & 178.4 & 178.4 & 178.4 & 178.4 & 178.4 & 178.4 & 178.4 \tabularnewline
0.8 & 178.7 & 178.7 & 178.7 & 178.7 & 178.7 & 178.7 & 178.7 & 178.7 \tabularnewline
0.81 & 178.9 & 178.9 & 178.9 & 178.9 & 178.9 & 178.9 & 178.9 & 178.9 \tabularnewline
0.82 & 179.49 & 179.5 & 179.5 & 179.5 & 179.5 & 179.5 & 179.5 & 179.5 \tabularnewline
0.83 & 179.785 & 179.8 & 179.8 & 179.8 & 179.8 & 179.8 & 179.8 & 179.8 \tabularnewline
0.84 & 180.2 & 180.2 & 180.2 & 180.2 & 180.2 & 180.2 & 180.2 & 180.2 \tabularnewline
0.85 & 180.4 & 180.4 & 180.4 & 180.4 & 180.4 & 180.4 & 180.4 & 180.4 \tabularnewline
0.86 & 180.8 & 180.8 & 180.8 & 180.8 & 180.8 & 180.8 & 180.8 & 180.8 \tabularnewline
0.87 & 181.7 & 181.7 & 181.7 & 181.7 & 181.7 & 181.7 & 181.7 & 181.7 \tabularnewline
0.88 & 182.1 & 182.1 & 182.1 & 182.1 & 182.1 & 182.1 & 182.1 & 182.1 \tabularnewline
0.89 & 182.5 & 182.5 & 182.5 & 182.5 & 182.5 & 182.5 & 182.5 & 182.5 \tabularnewline
0.9 & 182.85 & 182.9 & 182.9 & 182.9 & 182.86 & 182.9 & 182.9 & 182.9 \tabularnewline
0.91 & 183.445 & 183.5 & 183.5 & 183.5 & 183.454 & 183.4 & 183.5 & 183.5 \tabularnewline
0.92 & 184.14 & 184.2 & 184.2 & 184.2 & 184.148 & 184.1 & 184.2 & 184.2 \tabularnewline
0.93 & 184.8 & 184.8 & 184.8 & 184.8 & 184.8 & 184.8 & 184.8 & 184.8 \tabularnewline
0.94 & 185.5 & 185.5 & 185.5 & 185.5 & 185.5 & 185.5 & 185.5 & 185.5 \tabularnewline
0.95 & 186.125 & 186.2 & 186.2 & 186.2 & 186.13 & 186.1 & 186.2 & 186.2 \tabularnewline
0.96 & 187.8 & 187.8 & 187.8 & 187.8 & 187.8 & 187.8 & 187.8 & 187.8 \tabularnewline
0.97 & 189.3 & 189.3 & 189.3 & 189.3 & 189.3 & 189.3 & 189.3 & 189.3 \tabularnewline
0.98 & 190.57 & 191.2 & 191.2 & 191.2 & 190.584 & 190.5 & 191.2 & 191.2 \tabularnewline
0.99 & 192.64 & 193.4 & 193.4 & 193.4 & 192.648 & 192.6 & 193.4 & 193.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303125&T=1

[TABLE]
[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]
[ROW][C]p[/C][C]Weighted Average at Xnp[/C][C]Weighted Average at X(n+1)p[/C][C]Empirical Distribution Function[/C][C]Empirical Distribution Function - Averaging[/C][C]Empirical Distribution Function - Interpolation[/C][C]Closest Observation[/C][C]True Basic - Statistics Graphics Toolkit[/C][C]MS Excel (old versions)[/C][/ROW]
[ROW][C]0.01[/C][C]149[/C][C]149[/C][C]149[/C][C]149[/C][C]149.188[/C][C]149[/C][C]149[/C][C]149[/C][/ROW]
[ROW][C]0.02[/C][C]150.66[/C][C]150.668[/C][C]150.7[/C][C]150.7[/C][C]150.7[/C][C]150.7[/C][C]150.332[/C][C]150.7[/C][/ROW]
[ROW][C]0.03[/C][C]151.955[/C][C]151.964[/C][C]152[/C][C]152[/C][C]152[/C][C]152[/C][C]151.736[/C][C]152[/C][/ROW]
[ROW][C]0.04[/C][C]153[/C][C]153[/C][C]153[/C][C]153[/C][C]153.076[/C][C]153[/C][C]153[/C][C]153[/C][/ROW]
[ROW][C]0.05[/C][C]154.6[/C][C]154.6[/C][C]154.6[/C][C]154.6[/C][C]154.67[/C][C]154.6[/C][C]154.6[/C][C]154.6[/C][/ROW]
[ROW][C]0.06[/C][C]155.6[/C][C]155.6[/C][C]155.6[/C][C]155.6[/C][C]155.664[/C][C]155.6[/C][C]155.6[/C][C]155.6[/C][/ROW]
[ROW][C]0.07[/C][C]156.2[/C][C]156.2[/C][C]156.2[/C][C]156.2[/C][C]156.2[/C][C]156.2[/C][C]156.2[/C][C]156.2[/C][/ROW]
[ROW][C]0.08[/C][C]156.86[/C][C]156.868[/C][C]156.9[/C][C]156.9[/C][C]156.9[/C][C]156.9[/C][C]156.832[/C][C]156.9[/C][/ROW]
[ROW][C]0.09[/C][C]157.5[/C][C]157.5[/C][C]157.5[/C][C]157.5[/C][C]157.5[/C][C]157.5[/C][C]157.5[/C][C]157.5[/C][/ROW]
[ROW][C]0.1[/C][C]157.95[/C][C]157.96[/C][C]158[/C][C]158[/C][C]158[/C][C]158[/C][C]157.94[/C][C]158[/C][/ROW]
[ROW][C]0.11[/C][C]158.345[/C][C]158.356[/C][C]158.4[/C][C]158.4[/C][C]158.4[/C][C]158.3[/C][C]158.344[/C][C]158.4[/C][/ROW]
[ROW][C]0.12[/C][C]159.14[/C][C]159.152[/C][C]159.2[/C][C]159.2[/C][C]159.2[/C][C]159.1[/C][C]159.148[/C][C]159.2[/C][/ROW]
[ROW][C]0.13[/C][C]159.535[/C][C]159.548[/C][C]159.6[/C][C]159.6[/C][C]159.6[/C][C]159.5[/C][C]159.552[/C][C]159.5[/C][/ROW]
[ROW][C]0.14[/C][C]160.03[/C][C]160.044[/C][C]160.1[/C][C]160.1[/C][C]160.1[/C][C]160[/C][C]160.056[/C][C]160[/C][/ROW]
[ROW][C]0.15[/C][C]160.4[/C][C]160.4[/C][C]160.4[/C][C]160.4[/C][C]160.4[/C][C]160.4[/C][C]160.4[/C][C]160.4[/C][/ROW]
[ROW][C]0.16[/C][C]160.6[/C][C]160.6[/C][C]160.6[/C][C]160.6[/C][C]160.6[/C][C]160.6[/C][C]160.6[/C][C]160.6[/C][/ROW]
[ROW][C]0.17[/C][C]160.8[/C][C]160.8[/C][C]160.8[/C][C]160.8[/C][C]160.8[/C][C]160.8[/C][C]160.8[/C][C]160.8[/C][/ROW]
[ROW][C]0.18[/C][C]161.21[/C][C]161.228[/C][C]161.3[/C][C]161.3[/C][C]161.292[/C][C]161.2[/C][C]161.272[/C][C]161.2[/C][/ROW]
[ROW][C]0.19[/C][C]161.7[/C][C]161.7[/C][C]161.7[/C][C]161.7[/C][C]161.7[/C][C]161.7[/C][C]161.7[/C][C]161.7[/C][/ROW]
[ROW][C]0.2[/C][C]162[/C][C]162[/C][C]162[/C][C]162[/C][C]162[/C][C]162[/C][C]162[/C][C]162[/C][/ROW]
[ROW][C]0.21[/C][C]162.2[/C][C]162.2[/C][C]162.2[/C][C]162.2[/C][C]162.2[/C][C]162.2[/C][C]162.2[/C][C]162.2[/C][/ROW]
[ROW][C]0.22[/C][C]162.4[/C][C]162.412[/C][C]162.4[/C][C]162.4[/C][C]162.468[/C][C]162.4[/C][C]162.488[/C][C]162.4[/C][/ROW]
[ROW][C]0.23[/C][C]162.9[/C][C]162.9[/C][C]162.9[/C][C]162.9[/C][C]162.9[/C][C]162.9[/C][C]162.9[/C][C]162.9[/C][/ROW]
[ROW][C]0.24[/C][C]163.2[/C][C]163.2[/C][C]163.2[/C][C]163.2[/C][C]163.2[/C][C]163.2[/C][C]163.2[/C][C]163.2[/C][/ROW]
[ROW][C]0.25[/C][C]163.5[/C][C]163.5[/C][C]163.5[/C][C]163.5[/C][C]163.5[/C][C]163.5[/C][C]163.5[/C][C]163.5[/C][/ROW]
[ROW][C]0.26[/C][C]163.9[/C][C]163.9[/C][C]163.9[/C][C]163.9[/C][C]163.944[/C][C]163.9[/C][C]163.9[/C][C]163.9[/C][/ROW]
[ROW][C]0.27[/C][C]164.3[/C][C]164.3[/C][C]164.3[/C][C]164.3[/C][C]164.3[/C][C]164.3[/C][C]164.3[/C][C]164.3[/C][/ROW]
[ROW][C]0.28[/C][C]164.8[/C][C]164.8[/C][C]164.8[/C][C]164.8[/C][C]164.8[/C][C]164.8[/C][C]164.8[/C][C]164.8[/C][/ROW]
[ROW][C]0.29[/C][C]165[/C][C]165[/C][C]165[/C][C]165[/C][C]165[/C][C]165[/C][C]165[/C][C]165[/C][/ROW]
[ROW][C]0.3[/C][C]165.3[/C][C]165.3[/C][C]165.3[/C][C]165.3[/C][C]165.3[/C][C]165.3[/C][C]165.3[/C][C]165.3[/C][/ROW]
[ROW][C]0.31[/C][C]165.5[/C][C]165.5[/C][C]165.5[/C][C]165.5[/C][C]165.514[/C][C]165.5[/C][C]165.5[/C][C]165.5[/C][/ROW]
[ROW][C]0.32[/C][C]165.7[/C][C]165.7[/C][C]165.7[/C][C]165.7[/C][C]165.708[/C][C]165.7[/C][C]165.7[/C][C]165.7[/C][/ROW]
[ROW][C]0.33[/C][C]166.1[/C][C]166.1[/C][C]166.1[/C][C]166.1[/C][C]166.1[/C][C]166.1[/C][C]166.1[/C][C]166.1[/C][/ROW]
[ROW][C]0.34[/C][C]166.4[/C][C]166.4[/C][C]166.4[/C][C]166.4[/C][C]166.4[/C][C]166.4[/C][C]166.4[/C][C]166.4[/C][/ROW]
[ROW][C]0.35[/C][C]166.7[/C][C]166.7[/C][C]166.7[/C][C]166.7[/C][C]166.7[/C][C]166.7[/C][C]166.7[/C][C]166.7[/C][/ROW]
[ROW][C]0.36[/C][C]167[/C][C]167[/C][C]167[/C][C]167[/C][C]167[/C][C]167[/C][C]167[/C][C]167[/C][/ROW]
[ROW][C]0.37[/C][C]167.2[/C][C]167.2[/C][C]167.2[/C][C]167.2[/C][C]167.2[/C][C]167.2[/C][C]167.2[/C][C]167.2[/C][/ROW]
[ROW][C]0.38[/C][C]167.5[/C][C]167.5[/C][C]167.5[/C][C]167.5[/C][C]167.5[/C][C]167.5[/C][C]167.5[/C][C]167.5[/C][/ROW]
[ROW][C]0.39[/C][C]167.7[/C][C]167.7[/C][C]167.7[/C][C]167.7[/C][C]167.7[/C][C]167.7[/C][C]167.7[/C][C]167.7[/C][/ROW]
[ROW][C]0.4[/C][C]168[/C][C]168[/C][C]168[/C][C]168[/C][C]168[/C][C]168[/C][C]168[/C][C]168[/C][/ROW]
[ROW][C]0.41[/C][C]168.2[/C][C]168.2[/C][C]168.2[/C][C]168.2[/C][C]168.2[/C][C]168.2[/C][C]168.2[/C][C]168.2[/C][/ROW]
[ROW][C]0.42[/C][C]168.49[/C][C]168.5[/C][C]168.5[/C][C]168.5[/C][C]168.5[/C][C]168.5[/C][C]168.5[/C][C]168.5[/C][/ROW]
[ROW][C]0.43[/C][C]168.8[/C][C]168.8[/C][C]168.8[/C][C]168.8[/C][C]168.8[/C][C]168.8[/C][C]168.8[/C][C]168.8[/C][/ROW]
[ROW][C]0.44[/C][C]168.9[/C][C]168.9[/C][C]168.9[/C][C]168.9[/C][C]168.9[/C][C]168.9[/C][C]168.9[/C][C]168.9[/C][/ROW]
[ROW][C]0.45[/C][C]169.3[/C][C]169.3[/C][C]169.3[/C][C]169.3[/C][C]169.3[/C][C]169.3[/C][C]169.3[/C][C]169.3[/C][/ROW]
[ROW][C]0.46[/C][C]169.67[/C][C]169.7[/C][C]169.7[/C][C]169.7[/C][C]169.7[/C][C]169.7[/C][C]169.7[/C][C]169.7[/C][/ROW]
[ROW][C]0.47[/C][C]169.8[/C][C]169.8[/C][C]169.8[/C][C]169.8[/C][C]169.8[/C][C]169.8[/C][C]169.8[/C][C]169.8[/C][/ROW]
[ROW][C]0.48[/C][C]170[/C][C]170[/C][C]170[/C][C]170[/C][C]170[/C][C]170[/C][C]170[/C][C]170[/C][/ROW]
[ROW][C]0.49[/C][C]170.4[/C][C]170.4[/C][C]170.4[/C][C]170.4[/C][C]170.4[/C][C]170.4[/C][C]170.4[/C][C]170.4[/C][/ROW]
[ROW][C]0.5[/C][C]170.8[/C][C]170.8[/C][C]170.8[/C][C]170.8[/C][C]170.8[/C][C]170.8[/C][C]170.8[/C][C]170.8[/C][/ROW]
[ROW][C]0.51[/C][C]171.045[/C][C]171.096[/C][C]171.1[/C][C]171.1[/C][C]171.094[/C][C]171[/C][C]171.004[/C][C]171.1[/C][/ROW]
[ROW][C]0.52[/C][C]171.4[/C][C]171.4[/C][C]171.4[/C][C]171.4[/C][C]171.4[/C][C]171.4[/C][C]171.4[/C][C]171.4[/C][/ROW]
[ROW][C]0.53[/C][C]171.735[/C][C]171.788[/C][C]171.8[/C][C]171.8[/C][C]171.782[/C][C]171.7[/C][C]171.712[/C][C]171.8[/C][/ROW]
[ROW][C]0.54[/C][C]171.9[/C][C]171.9[/C][C]171.9[/C][C]171.9[/C][C]171.9[/C][C]171.9[/C][C]171.9[/C][C]171.9[/C][/ROW]
[ROW][C]0.55[/C][C]172.1[/C][C]172.1[/C][C]172.1[/C][C]172.1[/C][C]172.1[/C][C]172.1[/C][C]172.1[/C][C]172.1[/C][/ROW]
[ROW][C]0.56[/C][C]172.3[/C][C]172.3[/C][C]172.3[/C][C]172.3[/C][C]172.3[/C][C]172.3[/C][C]172.3[/C][C]172.3[/C][/ROW]
[ROW][C]0.57[/C][C]172.6[/C][C]172.6[/C][C]172.6[/C][C]172.6[/C][C]172.6[/C][C]172.6[/C][C]172.6[/C][C]172.6[/C][/ROW]
[ROW][C]0.58[/C][C]172.71[/C][C]172.768[/C][C]172.8[/C][C]172.8[/C][C]172.752[/C][C]172.7[/C][C]172.732[/C][C]172.8[/C][/ROW]
[ROW][C]0.59[/C][C]173[/C][C]173[/C][C]173[/C][C]173[/C][C]173[/C][C]173[/C][C]173[/C][C]173[/C][/ROW]
[ROW][C]0.6[/C][C]173.2[/C][C]173.26[/C][C]173.2[/C][C]173.25[/C][C]173.24[/C][C]173.2[/C][C]173.24[/C][C]173.3[/C][/ROW]
[ROW][C]0.61[/C][C]173.5[/C][C]173.556[/C][C]173.5[/C][C]173.5[/C][C]173.534[/C][C]173.5[/C][C]173.544[/C][C]173.6[/C][/ROW]
[ROW][C]0.62[/C][C]173.8[/C][C]173.8[/C][C]173.8[/C][C]173.8[/C][C]173.8[/C][C]173.8[/C][C]173.8[/C][C]173.8[/C][/ROW]
[ROW][C]0.63[/C][C]174[/C][C]174[/C][C]174[/C][C]174[/C][C]174[/C][C]174[/C][C]174[/C][C]174[/C][/ROW]
[ROW][C]0.64[/C][C]174.4[/C][C]174.4[/C][C]174.4[/C][C]174.4[/C][C]174.4[/C][C]174.4[/C][C]174.4[/C][C]174.4[/C][/ROW]
[ROW][C]0.65[/C][C]174.6[/C][C]174.64[/C][C]174.6[/C][C]174.6[/C][C]174.61[/C][C]174.6[/C][C]174.66[/C][C]174.6[/C][/ROW]
[ROW][C]0.66[/C][C]175.1[/C][C]175.1[/C][C]175.1[/C][C]175.1[/C][C]175.1[/C][C]175.1[/C][C]175.1[/C][C]175.1[/C][/ROW]
[ROW][C]0.67[/C][C]175.3[/C][C]175.3[/C][C]175.3[/C][C]175.3[/C][C]175.3[/C][C]175.3[/C][C]175.3[/C][C]175.3[/C][/ROW]
[ROW][C]0.68[/C][C]175.5[/C][C]175.5[/C][C]175.5[/C][C]175.5[/C][C]175.5[/C][C]175.5[/C][C]175.5[/C][C]175.5[/C][/ROW]
[ROW][C]0.69[/C][C]175.6[/C][C]175.624[/C][C]175.6[/C][C]175.6[/C][C]175.6[/C][C]175.6[/C][C]175.676[/C][C]175.6[/C][/ROW]
[ROW][C]0.7[/C][C]176[/C][C]176[/C][C]176[/C][C]176[/C][C]176[/C][C]176[/C][C]176[/C][C]176[/C][/ROW]
[ROW][C]0.71[/C][C]176.2[/C][C]176.2[/C][C]176.2[/C][C]176.2[/C][C]176.2[/C][C]176.2[/C][C]176.2[/C][C]176.2[/C][/ROW]
[ROW][C]0.72[/C][C]176.4[/C][C]176.412[/C][C]176.4[/C][C]176.4[/C][C]176.4[/C][C]176.4[/C][C]176.488[/C][C]176.4[/C][/ROW]
[ROW][C]0.73[/C][C]176.8[/C][C]176.8[/C][C]176.8[/C][C]176.8[/C][C]176.8[/C][C]176.8[/C][C]176.8[/C][C]176.8[/C][/ROW]
[ROW][C]0.74[/C][C]177.1[/C][C]177.1[/C][C]177.1[/C][C]177.1[/C][C]177.1[/C][C]177.1[/C][C]177.1[/C][C]177.1[/C][/ROW]
[ROW][C]0.75[/C][C]177.3[/C][C]177.3[/C][C]177.3[/C][C]177.3[/C][C]177.3[/C][C]177.3[/C][C]177.3[/C][C]177.3[/C][/ROW]
[ROW][C]0.76[/C][C]177.5[/C][C]177.5[/C][C]177.5[/C][C]177.5[/C][C]177.5[/C][C]177.5[/C][C]177.5[/C][C]177.5[/C][/ROW]
[ROW][C]0.77[/C][C]177.8[/C][C]177.8[/C][C]177.8[/C][C]177.8[/C][C]177.8[/C][C]177.8[/C][C]177.8[/C][C]177.8[/C][/ROW]
[ROW][C]0.78[/C][C]178.1[/C][C]178.1[/C][C]178.1[/C][C]178.1[/C][C]178.1[/C][C]178.1[/C][C]178.1[/C][C]178.1[/C][/ROW]
[ROW][C]0.79[/C][C]178.4[/C][C]178.4[/C][C]178.4[/C][C]178.4[/C][C]178.4[/C][C]178.4[/C][C]178.4[/C][C]178.4[/C][/ROW]
[ROW][C]0.8[/C][C]178.7[/C][C]178.7[/C][C]178.7[/C][C]178.7[/C][C]178.7[/C][C]178.7[/C][C]178.7[/C][C]178.7[/C][/ROW]
[ROW][C]0.81[/C][C]178.9[/C][C]178.9[/C][C]178.9[/C][C]178.9[/C][C]178.9[/C][C]178.9[/C][C]178.9[/C][C]178.9[/C][/ROW]
[ROW][C]0.82[/C][C]179.49[/C][C]179.5[/C][C]179.5[/C][C]179.5[/C][C]179.5[/C][C]179.5[/C][C]179.5[/C][C]179.5[/C][/ROW]
[ROW][C]0.83[/C][C]179.785[/C][C]179.8[/C][C]179.8[/C][C]179.8[/C][C]179.8[/C][C]179.8[/C][C]179.8[/C][C]179.8[/C][/ROW]
[ROW][C]0.84[/C][C]180.2[/C][C]180.2[/C][C]180.2[/C][C]180.2[/C][C]180.2[/C][C]180.2[/C][C]180.2[/C][C]180.2[/C][/ROW]
[ROW][C]0.85[/C][C]180.4[/C][C]180.4[/C][C]180.4[/C][C]180.4[/C][C]180.4[/C][C]180.4[/C][C]180.4[/C][C]180.4[/C][/ROW]
[ROW][C]0.86[/C][C]180.8[/C][C]180.8[/C][C]180.8[/C][C]180.8[/C][C]180.8[/C][C]180.8[/C][C]180.8[/C][C]180.8[/C][/ROW]
[ROW][C]0.87[/C][C]181.7[/C][C]181.7[/C][C]181.7[/C][C]181.7[/C][C]181.7[/C][C]181.7[/C][C]181.7[/C][C]181.7[/C][/ROW]
[ROW][C]0.88[/C][C]182.1[/C][C]182.1[/C][C]182.1[/C][C]182.1[/C][C]182.1[/C][C]182.1[/C][C]182.1[/C][C]182.1[/C][/ROW]
[ROW][C]0.89[/C][C]182.5[/C][C]182.5[/C][C]182.5[/C][C]182.5[/C][C]182.5[/C][C]182.5[/C][C]182.5[/C][C]182.5[/C][/ROW]
[ROW][C]0.9[/C][C]182.85[/C][C]182.9[/C][C]182.9[/C][C]182.9[/C][C]182.86[/C][C]182.9[/C][C]182.9[/C][C]182.9[/C][/ROW]
[ROW][C]0.91[/C][C]183.445[/C][C]183.5[/C][C]183.5[/C][C]183.5[/C][C]183.454[/C][C]183.4[/C][C]183.5[/C][C]183.5[/C][/ROW]
[ROW][C]0.92[/C][C]184.14[/C][C]184.2[/C][C]184.2[/C][C]184.2[/C][C]184.148[/C][C]184.1[/C][C]184.2[/C][C]184.2[/C][/ROW]
[ROW][C]0.93[/C][C]184.8[/C][C]184.8[/C][C]184.8[/C][C]184.8[/C][C]184.8[/C][C]184.8[/C][C]184.8[/C][C]184.8[/C][/ROW]
[ROW][C]0.94[/C][C]185.5[/C][C]185.5[/C][C]185.5[/C][C]185.5[/C][C]185.5[/C][C]185.5[/C][C]185.5[/C][C]185.5[/C][/ROW]
[ROW][C]0.95[/C][C]186.125[/C][C]186.2[/C][C]186.2[/C][C]186.2[/C][C]186.13[/C][C]186.1[/C][C]186.2[/C][C]186.2[/C][/ROW]
[ROW][C]0.96[/C][C]187.8[/C][C]187.8[/C][C]187.8[/C][C]187.8[/C][C]187.8[/C][C]187.8[/C][C]187.8[/C][C]187.8[/C][/ROW]
[ROW][C]0.97[/C][C]189.3[/C][C]189.3[/C][C]189.3[/C][C]189.3[/C][C]189.3[/C][C]189.3[/C][C]189.3[/C][C]189.3[/C][/ROW]
[ROW][C]0.98[/C][C]190.57[/C][C]191.2[/C][C]191.2[/C][C]191.2[/C][C]190.584[/C][C]190.5[/C][C]191.2[/C][C]191.2[/C][/ROW]
[ROW][C]0.99[/C][C]192.64[/C][C]193.4[/C][C]193.4[/C][C]193.4[/C][C]192.648[/C][C]192.6[/C][C]193.4[/C][C]193.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303125&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303125&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.01149149149149149.188149149149
0.02150.66150.668150.7150.7150.7150.7150.332150.7
0.03151.955151.964152152152152151.736152
0.04153153153153153.076153153153
0.05154.6154.6154.6154.6154.67154.6154.6154.6
0.06155.6155.6155.6155.6155.664155.6155.6155.6
0.07156.2156.2156.2156.2156.2156.2156.2156.2
0.08156.86156.868156.9156.9156.9156.9156.832156.9
0.09157.5157.5157.5157.5157.5157.5157.5157.5
0.1157.95157.96158158158158157.94158
0.11158.345158.356158.4158.4158.4158.3158.344158.4
0.12159.14159.152159.2159.2159.2159.1159.148159.2
0.13159.535159.548159.6159.6159.6159.5159.552159.5
0.14160.03160.044160.1160.1160.1160160.056160
0.15160.4160.4160.4160.4160.4160.4160.4160.4
0.16160.6160.6160.6160.6160.6160.6160.6160.6
0.17160.8160.8160.8160.8160.8160.8160.8160.8
0.18161.21161.228161.3161.3161.292161.2161.272161.2
0.19161.7161.7161.7161.7161.7161.7161.7161.7
0.2162162162162162162162162
0.21162.2162.2162.2162.2162.2162.2162.2162.2
0.22162.4162.412162.4162.4162.468162.4162.488162.4
0.23162.9162.9162.9162.9162.9162.9162.9162.9
0.24163.2163.2163.2163.2163.2163.2163.2163.2
0.25163.5163.5163.5163.5163.5163.5163.5163.5
0.26163.9163.9163.9163.9163.944163.9163.9163.9
0.27164.3164.3164.3164.3164.3164.3164.3164.3
0.28164.8164.8164.8164.8164.8164.8164.8164.8
0.29165165165165165165165165
0.3165.3165.3165.3165.3165.3165.3165.3165.3
0.31165.5165.5165.5165.5165.514165.5165.5165.5
0.32165.7165.7165.7165.7165.708165.7165.7165.7
0.33166.1166.1166.1166.1166.1166.1166.1166.1
0.34166.4166.4166.4166.4166.4166.4166.4166.4
0.35166.7166.7166.7166.7166.7166.7166.7166.7
0.36167167167167167167167167
0.37167.2167.2167.2167.2167.2167.2167.2167.2
0.38167.5167.5167.5167.5167.5167.5167.5167.5
0.39167.7167.7167.7167.7167.7167.7167.7167.7
0.4168168168168168168168168
0.41168.2168.2168.2168.2168.2168.2168.2168.2
0.42168.49168.5168.5168.5168.5168.5168.5168.5
0.43168.8168.8168.8168.8168.8168.8168.8168.8
0.44168.9168.9168.9168.9168.9168.9168.9168.9
0.45169.3169.3169.3169.3169.3169.3169.3169.3
0.46169.67169.7169.7169.7169.7169.7169.7169.7
0.47169.8169.8169.8169.8169.8169.8169.8169.8
0.48170170170170170170170170
0.49170.4170.4170.4170.4170.4170.4170.4170.4
0.5170.8170.8170.8170.8170.8170.8170.8170.8
0.51171.045171.096171.1171.1171.094171171.004171.1
0.52171.4171.4171.4171.4171.4171.4171.4171.4
0.53171.735171.788171.8171.8171.782171.7171.712171.8
0.54171.9171.9171.9171.9171.9171.9171.9171.9
0.55172.1172.1172.1172.1172.1172.1172.1172.1
0.56172.3172.3172.3172.3172.3172.3172.3172.3
0.57172.6172.6172.6172.6172.6172.6172.6172.6
0.58172.71172.768172.8172.8172.752172.7172.732172.8
0.59173173173173173173173173
0.6173.2173.26173.2173.25173.24173.2173.24173.3
0.61173.5173.556173.5173.5173.534173.5173.544173.6
0.62173.8173.8173.8173.8173.8173.8173.8173.8
0.63174174174174174174174174
0.64174.4174.4174.4174.4174.4174.4174.4174.4
0.65174.6174.64174.6174.6174.61174.6174.66174.6
0.66175.1175.1175.1175.1175.1175.1175.1175.1
0.67175.3175.3175.3175.3175.3175.3175.3175.3
0.68175.5175.5175.5175.5175.5175.5175.5175.5
0.69175.6175.624175.6175.6175.6175.6175.676175.6
0.7176176176176176176176176
0.71176.2176.2176.2176.2176.2176.2176.2176.2
0.72176.4176.412176.4176.4176.4176.4176.488176.4
0.73176.8176.8176.8176.8176.8176.8176.8176.8
0.74177.1177.1177.1177.1177.1177.1177.1177.1
0.75177.3177.3177.3177.3177.3177.3177.3177.3
0.76177.5177.5177.5177.5177.5177.5177.5177.5
0.77177.8177.8177.8177.8177.8177.8177.8177.8
0.78178.1178.1178.1178.1178.1178.1178.1178.1
0.79178.4178.4178.4178.4178.4178.4178.4178.4
0.8178.7178.7178.7178.7178.7178.7178.7178.7
0.81178.9178.9178.9178.9178.9178.9178.9178.9
0.82179.49179.5179.5179.5179.5179.5179.5179.5
0.83179.785179.8179.8179.8179.8179.8179.8179.8
0.84180.2180.2180.2180.2180.2180.2180.2180.2
0.85180.4180.4180.4180.4180.4180.4180.4180.4
0.86180.8180.8180.8180.8180.8180.8180.8180.8
0.87181.7181.7181.7181.7181.7181.7181.7181.7
0.88182.1182.1182.1182.1182.1182.1182.1182.1
0.89182.5182.5182.5182.5182.5182.5182.5182.5
0.9182.85182.9182.9182.9182.86182.9182.9182.9
0.91183.445183.5183.5183.5183.454183.4183.5183.5
0.92184.14184.2184.2184.2184.148184.1184.2184.2
0.93184.8184.8184.8184.8184.8184.8184.8184.8
0.94185.5185.5185.5185.5185.5185.5185.5185.5
0.95186.125186.2186.2186.2186.13186.1186.2186.2
0.96187.8187.8187.8187.8187.8187.8187.8187.8
0.97189.3189.3189.3189.3189.3189.3189.3189.3
0.98190.57191.2191.2191.2190.584190.5191.2191.2
0.99192.64193.4193.4193.4192.648192.6193.4193.4


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
x <-sort(x[!is.na(x)])
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
lx <- length(x)
qval <- array(NA,dim=c(99,8))
mystep <- 25
mystart <- 25
if (lx>10){
mystep=10
mystart=10
}
if (lx>20){
mystep=5
mystart=5
}
if (lx>50){
mystep=2
mystart=2
}
if (lx>=100){
mystep=1
mystart=1
}
for (perc in seq(mystart,99,mystep)) {
qval[perc,1] <- q1(x,lx,perc/100,i,f)
qval[perc,2] <- q2(x,lx,perc/100,i,f)
qval[perc,3] <- q3(x,lx,perc/100,i,f)
qval[perc,4] <- q4(x,lx,perc/100,i,f)
qval[perc,5] <- q5(x,lx,perc/100,i,f)
qval[perc,6] <- q6(x,lx,perc/100,i,f)
qval[perc,7] <- q7(x,lx,perc/100,i,f)
qval[perc,8] <- q8(x,lx,perc/100,i,f)
}
bitmap(file='test1.png')
myqqnorm <- qqnorm(x,col=2)
qqline(x)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Percentiles - Ungrouped Data',9,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p',1,TRUE)
a<-table.element(a, 'Weighted Average at Xnp',1,TRUE)
a<-table.element(a, 'Weighted Average at X(n+1)p',1,TRUE)
a<-table.element(a, 'Empirical Distribution Function',1,TRUE)
a<-table.element(a, 'Empirical Distribution Function - Averaging',1,TRUE)
a<-table.element(a, 'Empirical Distribution Function - Interpolation',1,TRUE)
a<-table.element(a, 'Closest Observation',1,TRUE)
a<-table.element(a, 'True Basic - Statistics Graphics Toolkit',1,TRUE)
a<-table.element(a, 'MS Excel (old versions)',1,TRUE)
a<-table.row.end(a)
for (perc in seq(mystart,99,mystep)) {
a<-table.row.start(a)
a<-table.element(a,round(perc/100,2),1,TRUE)
for (j in 1:8) {
a<-table.element(a,signif(qval[perc,j],6))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')