Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_percentiles.wasp

Title produced by software

Percentiles

Date of computation

Wed, 10 Dec 2014 14:56:26 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/10/t14182234087hxfcbpzqxxw1kz.htm/, Retrieved Sun, 19 May 2024 15:25:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265314, Retrieved Sun, 19 May 2024 15:25:19 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Percentiles] [] [2014-12-10 14:56:26] [94ef54447bb0146b66f4a809a85d3ed7] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265314&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265314&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265314&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Percentiles - Ungrouped Data
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)
0.01	4.4375	4.5	6.25	6.25	8.441	6.25	1.75	6.25
0.02	9.38	9.38	9.38	9.38	10.628	9.38	9.38	9.38
0.03	12.5	12.5	12.5	12.5	12.5	12.5	12.5	12.5
0.04	12.5	12.5	12.5	12.5	20.004	12.5	12.5	12.5
0.05	27.0335	27.502	31.25	31.25	31.25	31.25	25.628	31.25
0.06	32.0638	32.2516	34.38	34.38	35.004	31.25	33.3784	31.25
0.07	37.4064	37.6252	37.5	37.5	40.317	37.5	40.5048	37.5
0.08	40.63	40.63	40.63	40.63	40.63	40.63	40.63	40.63
0.09	41.8468	42.1276	43.75	43.75	43.75	40.63	42.2524	40.63
0.1	44.063	44.376	46.88	46.88	46.88	43.75	46.254	43.75
0.11	46.88	46.88	46.88	46.88	46.88	46.88	46.88	46.88
0.12	46.88	46.88	46.88	46.88	46.88	46.88	46.88	46.88
0.13	46.88	46.88	46.88	46.88	47.192	46.88	46.88	46.88
0.14	49.8128	50	50	50	50	50	50	50
0.15	50	50	50	50	50	50	50	50
0.16	50	50	50	50	50	50	50	50
0.17	50	50	50	50	50	50	50	50
0.18	50	50	50	50	50	50	50	50
0.19	50	50	50	50	50	50	50	50
0.2	50.626	51.252	53.13	53.13	53.13	50	51.878	50
0.21	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.22	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.23	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.24	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.25	55.47	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.26	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.27	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.28	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.29	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.3	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.31	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.32	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.33	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.34	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.35	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.36	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.37	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.39	59.38	59.6296	59.38	59.38	60.316	59.38	62.2504	59.38
0.4	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.41	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.42	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.43	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.44	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.45	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.46	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.47	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.48	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.49	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.5	64.065	65.63	65.63	65.63	65.63	65.63	65.63	65.63
0.51	65.63	65.63	65.63	65.63	65.63	65.63	65.63	65.63
0.52	65.63	65.63	65.63	65.63	65.63	65.63	65.63	65.63
0.53	67.5956	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.54	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.55	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.56	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.57	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.58	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.59	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.6	68.75	69.376	68.75	68.75	68.75	68.75	71.254	68.75
0.61	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.62	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.63	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.64	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.65	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.66	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.67	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.68	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.69	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.7	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.71	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.72	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.73	71.88	73.6272	71.88	71.88	72.192	71.88	73.2528	75
0.74	75	75	75	75	75	75	75	75
0.75	75	75	75	75	75	75	75	75
0.76	75	75	75	75	75	75	75	75
0.77	75	75	75	75	75	75	75	75
0.78	75	75	75	75	75	75	75	75
0.79	75	75	75	75	75	75	75	75
0.8	75	76.878	75	75	75	75	76.252	78.13
0.81	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.82	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.83	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.84	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.85	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.86	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.87	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.88	78.13	79.2532	78.13	78.13	78.13	78.13	80.1268	78.13
0.89	81.25	81.25	81.25	81.25	81.25	81.25	81.25	81.25
0.9	81.25	81.25	81.25	81.25	81.25	81.25	81.25	81.25
0.91	83.1593	84.38	84.38	84.38	83.441	84.38	84.38	84.38
0.92	84.38	84.38	84.38	84.38	84.38	84.38	84.38	84.38
0.93	84.38	84.38	84.38	84.38	84.38	84.38	84.38	84.38
0.94	84.38	84.38	84.38	84.38	84.38	84.38	84.38	84.38
0.95	85.784	87.5	87.5	87.5	85.94	84.38	87.5	87.5
0.96	87.5	87.5	87.5	87.5	87.5	87.5	87.5	87.5
0.97	87.5	90.1292	87.5	87.5	87.5	87.5	88.0008	90.63
0.98	90.63	90.63	90.63	90.63	90.63	90.63	90.63	90.63
0.99	91.5348	93.75	93.75	93.75	91.566	90.63	93.75	93.75

\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 & 4.4375 & 4.5 & 6.25 & 6.25 & 8.441 & 6.25 & 1.75 & 6.25 \tabularnewline
0.02 & 9.38 & 9.38 & 9.38 & 9.38 & 10.628 & 9.38 & 9.38 & 9.38 \tabularnewline
0.03 & 12.5 & 12.5 & 12.5 & 12.5 & 12.5 & 12.5 & 12.5 & 12.5 \tabularnewline
0.04 & 12.5 & 12.5 & 12.5 & 12.5 & 20.004 & 12.5 & 12.5 & 12.5 \tabularnewline
0.05 & 27.0335 & 27.502 & 31.25 & 31.25 & 31.25 & 31.25 & 25.628 & 31.25 \tabularnewline
0.06 & 32.0638 & 32.2516 & 34.38 & 34.38 & 35.004 & 31.25 & 33.3784 & 31.25 \tabularnewline
0.07 & 37.4064 & 37.6252 & 37.5 & 37.5 & 40.317 & 37.5 & 40.5048 & 37.5 \tabularnewline
0.08 & 40.63 & 40.63 & 40.63 & 40.63 & 40.63 & 40.63 & 40.63 & 40.63 \tabularnewline
0.09 & 41.8468 & 42.1276 & 43.75 & 43.75 & 43.75 & 40.63 & 42.2524 & 40.63 \tabularnewline
0.1 & 44.063 & 44.376 & 46.88 & 46.88 & 46.88 & 43.75 & 46.254 & 43.75 \tabularnewline
0.11 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 \tabularnewline
0.12 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 & 46.88 \tabularnewline
0.13 & 46.88 & 46.88 & 46.88 & 46.88 & 47.192 & 46.88 & 46.88 & 46.88 \tabularnewline
0.14 & 49.8128 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.15 & 50 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.16 & 50 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.17 & 50 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.18 & 50 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.19 & 50 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.2 & 50.626 & 51.252 & 53.13 & 53.13 & 53.13 & 50 & 51.878 & 50 \tabularnewline
0.21 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 \tabularnewline
0.22 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 \tabularnewline
0.23 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 \tabularnewline
0.24 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 & 53.13 \tabularnewline
0.25 & 55.47 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 \tabularnewline
0.26 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 \tabularnewline
0.27 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 \tabularnewline
0.28 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 \tabularnewline
0.29 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 \tabularnewline
0.3 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 & 56.25 \tabularnewline
0.31 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.32 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.33 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.34 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.35 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.36 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.37 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 & 59.38 \tabularnewline
0.39 & 59.38 & 59.6296 & 59.38 & 59.38 & 60.316 & 59.38 & 62.2504 & 59.38 \tabularnewline
0.4 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.41 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.42 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.43 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.44 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.45 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.46 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.47 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.48 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.49 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 & 62.5 \tabularnewline
0.5 & 64.065 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 \tabularnewline
0.51 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 \tabularnewline
0.52 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 & 65.63 \tabularnewline
0.53 & 67.5956 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 \tabularnewline
0.54 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 \tabularnewline
0.55 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 \tabularnewline
0.56 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 \tabularnewline
0.57 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 \tabularnewline
0.58 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 \tabularnewline
0.59 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 & 68.75 \tabularnewline
0.6 & 68.75 & 69.376 & 68.75 & 68.75 & 68.75 & 68.75 & 71.254 & 68.75 \tabularnewline
0.61 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.62 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.63 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.64 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.65 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.66 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.67 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.68 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.69 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.7 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.71 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.72 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 & 71.88 \tabularnewline
0.73 & 71.88 & 73.6272 & 71.88 & 71.88 & 72.192 & 71.88 & 73.2528 & 75 \tabularnewline
0.74 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.76 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.77 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.78 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.79 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.8 & 75 & 76.878 & 75 & 75 & 75 & 75 & 76.252 & 78.13 \tabularnewline
0.81 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 \tabularnewline
0.82 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 \tabularnewline
0.83 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 \tabularnewline
0.84 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 \tabularnewline
0.85 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 \tabularnewline
0.86 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 \tabularnewline
0.87 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 & 78.13 \tabularnewline
0.88 & 78.13 & 79.2532 & 78.13 & 78.13 & 78.13 & 78.13 & 80.1268 & 78.13 \tabularnewline
0.89 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 \tabularnewline
0.9 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 & 81.25 \tabularnewline
0.91 & 83.1593 & 84.38 & 84.38 & 84.38 & 83.441 & 84.38 & 84.38 & 84.38 \tabularnewline
0.92 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 \tabularnewline
0.93 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 \tabularnewline
0.94 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 & 84.38 \tabularnewline
0.95 & 85.784 & 87.5 & 87.5 & 87.5 & 85.94 & 84.38 & 87.5 & 87.5 \tabularnewline
0.96 & 87.5 & 87.5 & 87.5 & 87.5 & 87.5 & 87.5 & 87.5 & 87.5 \tabularnewline
0.97 & 87.5 & 90.1292 & 87.5 & 87.5 & 87.5 & 87.5 & 88.0008 & 90.63 \tabularnewline
0.98 & 90.63 & 90.63 & 90.63 & 90.63 & 90.63 & 90.63 & 90.63 & 90.63 \tabularnewline
0.99 & 91.5348 & 93.75 & 93.75 & 93.75 & 91.566 & 90.63 & 93.75 & 93.75 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265314&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]4.4375[/C][C]4.5[/C][C]6.25[/C][C]6.25[/C][C]8.441[/C][C]6.25[/C][C]1.75[/C][C]6.25[/C][/ROW]
[ROW][C]0.02[/C][C]9.38[/C][C]9.38[/C][C]9.38[/C][C]9.38[/C][C]10.628[/C][C]9.38[/C][C]9.38[/C][C]9.38[/C][/ROW]
[ROW][C]0.03[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][/ROW]
[ROW][C]0.04[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][C]20.004[/C][C]12.5[/C][C]12.5[/C][C]12.5[/C][/ROW]
[ROW][C]0.05[/C][C]27.0335[/C][C]27.502[/C][C]31.25[/C][C]31.25[/C][C]31.25[/C][C]31.25[/C][C]25.628[/C][C]31.25[/C][/ROW]
[ROW][C]0.06[/C][C]32.0638[/C][C]32.2516[/C][C]34.38[/C][C]34.38[/C][C]35.004[/C][C]31.25[/C][C]33.3784[/C][C]31.25[/C][/ROW]
[ROW][C]0.07[/C][C]37.4064[/C][C]37.6252[/C][C]37.5[/C][C]37.5[/C][C]40.317[/C][C]37.5[/C][C]40.5048[/C][C]37.5[/C][/ROW]
[ROW][C]0.08[/C][C]40.63[/C][C]40.63[/C][C]40.63[/C][C]40.63[/C][C]40.63[/C][C]40.63[/C][C]40.63[/C][C]40.63[/C][/ROW]
[ROW][C]0.09[/C][C]41.8468[/C][C]42.1276[/C][C]43.75[/C][C]43.75[/C][C]43.75[/C][C]40.63[/C][C]42.2524[/C][C]40.63[/C][/ROW]
[ROW][C]0.1[/C][C]44.063[/C][C]44.376[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]43.75[/C][C]46.254[/C][C]43.75[/C][/ROW]
[ROW][C]0.11[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][/ROW]
[ROW][C]0.12[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][/ROW]
[ROW][C]0.13[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][C]47.192[/C][C]46.88[/C][C]46.88[/C][C]46.88[/C][/ROW]
[ROW][C]0.14[/C][C]49.8128[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.15[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.16[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.17[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.18[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.19[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.2[/C][C]50.626[/C][C]51.252[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]50[/C][C]51.878[/C][C]50[/C][/ROW]
[ROW][C]0.21[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][/ROW]
[ROW][C]0.22[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][/ROW]
[ROW][C]0.23[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][/ROW]
[ROW][C]0.24[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][C]53.13[/C][/ROW]
[ROW][C]0.25[/C][C]55.47[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][/ROW]
[ROW][C]0.26[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][/ROW]
[ROW][C]0.27[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][/ROW]
[ROW][C]0.28[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][/ROW]
[ROW][C]0.29[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][/ROW]
[ROW][C]0.3[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][C]56.25[/C][/ROW]
[ROW][C]0.31[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.32[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.33[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.34[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.35[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.36[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.37[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][C]59.38[/C][/ROW]
[ROW][C]0.39[/C][C]59.38[/C][C]59.6296[/C][C]59.38[/C][C]59.38[/C][C]60.316[/C][C]59.38[/C][C]62.2504[/C][C]59.38[/C][/ROW]
[ROW][C]0.4[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.41[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.42[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.43[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.44[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.45[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.46[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.47[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.48[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.49[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][C]62.5[/C][/ROW]
[ROW][C]0.5[/C][C]64.065[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][/ROW]
[ROW][C]0.51[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][/ROW]
[ROW][C]0.52[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][C]65.63[/C][/ROW]
[ROW][C]0.53[/C][C]67.5956[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][/ROW]
[ROW][C]0.54[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][/ROW]
[ROW][C]0.55[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][/ROW]
[ROW][C]0.56[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][/ROW]
[ROW][C]0.57[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][/ROW]
[ROW][C]0.58[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][/ROW]
[ROW][C]0.59[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][/ROW]
[ROW][C]0.6[/C][C]68.75[/C][C]69.376[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]68.75[/C][C]71.254[/C][C]68.75[/C][/ROW]
[ROW][C]0.61[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.62[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.63[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.64[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.65[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.66[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.67[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.68[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.69[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.7[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.71[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.72[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][C]71.88[/C][/ROW]
[ROW][C]0.73[/C][C]71.88[/C][C]73.6272[/C][C]71.88[/C][C]71.88[/C][C]72.192[/C][C]71.88[/C][C]73.2528[/C][C]75[/C][/ROW]
[ROW][C]0.74[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.76[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.77[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.78[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.79[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.8[/C][C]75[/C][C]76.878[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]76.252[/C][C]78.13[/C][/ROW]
[ROW][C]0.81[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][/ROW]
[ROW][C]0.82[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][/ROW]
[ROW][C]0.83[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][/ROW]
[ROW][C]0.84[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][/ROW]
[ROW][C]0.85[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][/ROW]
[ROW][C]0.86[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][/ROW]
[ROW][C]0.87[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][/ROW]
[ROW][C]0.88[/C][C]78.13[/C][C]79.2532[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]78.13[/C][C]80.1268[/C][C]78.13[/C][/ROW]
[ROW][C]0.89[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][/ROW]
[ROW][C]0.9[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][C]81.25[/C][/ROW]
[ROW][C]0.91[/C][C]83.1593[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]83.441[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][/ROW]
[ROW][C]0.92[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][/ROW]
[ROW][C]0.93[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][/ROW]
[ROW][C]0.94[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][C]84.38[/C][/ROW]
[ROW][C]0.95[/C][C]85.784[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]85.94[/C][C]84.38[/C][C]87.5[/C][C]87.5[/C][/ROW]
[ROW][C]0.96[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][/ROW]
[ROW][C]0.97[/C][C]87.5[/C][C]90.1292[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]87.5[/C][C]88.0008[/C][C]90.63[/C][/ROW]
[ROW][C]0.98[/C][C]90.63[/C][C]90.63[/C][C]90.63[/C][C]90.63[/C][C]90.63[/C][C]90.63[/C][C]90.63[/C][C]90.63[/C][/ROW]
[ROW][C]0.99[/C][C]91.5348[/C][C]93.75[/C][C]93.75[/C][C]93.75[/C][C]91.566[/C][C]90.63[/C][C]93.75[/C][C]93.75[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265314&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265314&T=1

As an alternative you can also use a QR Code:

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

Percentiles - Ungrouped Data
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)
0.01	4.4375	4.5	6.25	6.25	8.441	6.25	1.75	6.25
0.02	9.38	9.38	9.38	9.38	10.628	9.38	9.38	9.38
0.03	12.5	12.5	12.5	12.5	12.5	12.5	12.5	12.5
0.04	12.5	12.5	12.5	12.5	20.004	12.5	12.5	12.5
0.05	27.0335	27.502	31.25	31.25	31.25	31.25	25.628	31.25
0.06	32.0638	32.2516	34.38	34.38	35.004	31.25	33.3784	31.25
0.07	37.4064	37.6252	37.5	37.5	40.317	37.5	40.5048	37.5
0.08	40.63	40.63	40.63	40.63	40.63	40.63	40.63	40.63
0.09	41.8468	42.1276	43.75	43.75	43.75	40.63	42.2524	40.63
0.1	44.063	44.376	46.88	46.88	46.88	43.75	46.254	43.75
0.11	46.88	46.88	46.88	46.88	46.88	46.88	46.88	46.88
0.12	46.88	46.88	46.88	46.88	46.88	46.88	46.88	46.88
0.13	46.88	46.88	46.88	46.88	47.192	46.88	46.88	46.88
0.14	49.8128	50	50	50	50	50	50	50
0.15	50	50	50	50	50	50	50	50
0.16	50	50	50	50	50	50	50	50
0.17	50	50	50	50	50	50	50	50
0.18	50	50	50	50	50	50	50	50
0.19	50	50	50	50	50	50	50	50
0.2	50.626	51.252	53.13	53.13	53.13	50	51.878	50
0.21	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.22	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.23	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.24	53.13	53.13	53.13	53.13	53.13	53.13	53.13	53.13
0.25	55.47	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.26	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.27	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.28	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.29	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.3	56.25	56.25	56.25	56.25	56.25	56.25	56.25	56.25
0.31	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.32	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.33	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.34	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.35	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.36	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.37	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38	59.38
0.39	59.38	59.6296	59.38	59.38	60.316	59.38	62.2504	59.38
0.4	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.41	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.42	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.43	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.44	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.45	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.46	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.47	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.48	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.49	62.5	62.5	62.5	62.5	62.5	62.5	62.5	62.5
0.5	64.065	65.63	65.63	65.63	65.63	65.63	65.63	65.63
0.51	65.63	65.63	65.63	65.63	65.63	65.63	65.63	65.63
0.52	65.63	65.63	65.63	65.63	65.63	65.63	65.63	65.63
0.53	67.5956	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.54	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.55	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.56	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.57	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.58	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.59	68.75	68.75	68.75	68.75	68.75	68.75	68.75	68.75
0.6	68.75	69.376	68.75	68.75	68.75	68.75	71.254	68.75
0.61	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.62	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.63	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.64	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.65	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.66	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.67	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.68	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.69	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.7	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.71	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.72	71.88	71.88	71.88	71.88	71.88	71.88	71.88	71.88
0.73	71.88	73.6272	71.88	71.88	72.192	71.88	73.2528	75
0.74	75	75	75	75	75	75	75	75
0.75	75	75	75	75	75	75	75	75
0.76	75	75	75	75	75	75	75	75
0.77	75	75	75	75	75	75	75	75
0.78	75	75	75	75	75	75	75	75
0.79	75	75	75	75	75	75	75	75
0.8	75	76.878	75	75	75	75	76.252	78.13
0.81	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.82	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.83	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.84	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.85	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.86	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.87	78.13	78.13	78.13	78.13	78.13	78.13	78.13	78.13
0.88	78.13	79.2532	78.13	78.13	78.13	78.13	80.1268	78.13
0.89	81.25	81.25	81.25	81.25	81.25	81.25	81.25	81.25
0.9	81.25	81.25	81.25	81.25	81.25	81.25	81.25	81.25
0.91	83.1593	84.38	84.38	84.38	83.441	84.38	84.38	84.38
0.92	84.38	84.38	84.38	84.38	84.38	84.38	84.38	84.38
0.93	84.38	84.38	84.38	84.38	84.38	84.38	84.38	84.38
0.94	84.38	84.38	84.38	84.38	84.38	84.38	84.38	84.38
0.95	85.784	87.5	87.5	87.5	85.94	84.38	87.5	87.5
0.96	87.5	87.5	87.5	87.5	87.5	87.5	87.5	87.5
0.97	87.5	90.1292	87.5	87.5	87.5	87.5	88.0008	90.63
0.98	90.63	90.63	90.63	90.63	90.63	90.63	90.63	90.63
0.99	91.5348	93.75	93.75	93.75	91.566	90.63	93.75	93.75

Figure 1

PNG link

Postscript link

PDF link

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,hyperlink('method_1.htm', 'Weighted Average at Xnp',''),1,TRUE)
a<-table.element(a,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),1,TRUE)
a<-table.element(a,hyperlink('method_3.htm','Empirical Distribution Function',''),1,TRUE)
a<-table.element(a,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),1,TRUE)
a<-table.element(a,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),1,TRUE)
a<-table.element(a,hyperlink('method_6.htm','Closest Observation',''),1,TRUE)
a<-table.element(a,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),1,TRUE)
a<-table.element(a,hyperlink('method_8.htm','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,round(qval[perc,j],6))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code