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R Software Module

rwasp_percentiles.wasp

Title produced by software

Percentiles

Date of computation

Mon, 19 Dec 2011 07:23:29 -0500

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/2011/Dec/19/t1324297572ek7vz9aetuybcil.htm/, Retrieved Sat, 22 Feb 2025 08:47:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157321, Retrieved Sat, 22 Feb 2025 08:47:47 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

144

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

-     [Univariate Data Series] [Grafiek geg ws9] [2011-12-01 12:52:40] [22f8bc702946f784836540059d0d9516]
- R  D  [Univariate Data Series] [WS 9.1] [2011-12-02 10:37:00] [74be16979710d4c4e7c6647856088456]
-         [Univariate Data Series] [Paper Mathias Van...] [2011-12-17 13:22:22] [380049693c521f4999989215fb37aeca]
-   PD      [Univariate Data Series] [Paper Mathias Van...] [2011-12-17 14:22:48] [380049693c521f4999989215fb37aeca]
- RMP         [Histogram] [Paper Mathias Van...] [2011-12-17 14:35:22] [380049693c521f4999989215fb37aeca]
- RMPD            [Percentiles] [Paper Mathias Van...] [2011-12-19 12:23:29] [1b6261517283a6546869240081f8d68e] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157321&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157321&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157321&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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.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)
0.02	7512.76	7512.82	7513	7513	7591.3	7513	7510.18	7513
0.04	7622.68	7623.76	7627	7627	7646.2	7627	7603.24	7627
0.06	7673.04	7674.78	7680	7680	7699.6	7680	7656.22	7680
0.08	7725	7727	7733	7733	7734.2	7733	7714	7733
0.1	7735.6	7735.7	7736	7736	7747.5	7736	7735.3	7736
0.12	7785.52	7791.64	7810	7810	7820	7810	7777.36	7810
0.14	7836.32	7836.74	7838	7838	7863.2	7835	7836.26	7838
0.16	7932.8	7937.6	7952	7952	7956.2	7922	7936.4	7952
0.18	7982.52	7988.64	8007	8007	8007.7	7973	7991.36	7973
0.2	8023	8032	8059	8059	8059	8014	8041	8014
0.22	8065.68	8068.76	8078	8078	8076.6	8064	8073.24	8064
0.24	8101.04	8101.28	8102	8102	8101.8	8101	8101.72	8101
0.26	8119.28	8136.94	8120	8120	8173.9	8120	8180.06	8120
0.28	8207.56	8209.64	8209	8209	8211.4	8209	8212.36	8209
0.3	8219.4	8221.9	8221	8221	8225.5	8221	8229.1	8221
0.32	8234.32	8236.44	8236	8236	8240.4	8236	8246.56	8236
0.34	8250.84	8252.88	8253	8253	8257.5	8253	8247.12	8253
0.36	8273.6	8277.2	8278	8278	8280.6	8278	8268.8	8278
0.38	8291	8291	8291	8291	8292	8291	8291	8291
0.4	8301	8301	8301	8301	8301	8301	8301	8301
0.42	8313.92	8316.44	8318	8318	8317.4	8312	8313.56	8318
0.44	8321.4	8325.8	8329	8329	8327	8319	8322.2	8329
0.46	8368.88	8377.16	8384	8384	8378.6	8366	8372.84	8384
0.48	8406.4	8408.8	8411	8411	8409	8406	8408.2	8411
0.5	8417	8438	8417	8438	8438	8417	8438	8438
0.52	8462.68	8463.44	8463	8463	8463.4	8463	8463.56	8463
0.54	8466.52	8468.9	8467	8467	8468.5	8467	8470.1	8467
0.56	8475.04	8503.84	8476	8476	8493.4	8476	8535.16	8476
0.58	8573.88	8580.82	8579	8579	8579.7	8579	8584.18	8579
0.6	8604	8617.8	8616	8616	8616	8616	8623.2	8616
0.62	8625	8625.14	8625	8625	8625	8625	8625.86	8625
0.64	8627.76	8631.52	8630	8630	8629.2	8626	8647.48	8630
0.66	8673.84	8718.4	8718	8718	8697.3	8649	8737.6	8718
0.68	8752	8786	8788	8788	8768	8738	8740	8788
0.7	8822.2	8857.9	8863	8863	8837.5	8812	8817.1	8863
0.72	8874.4	8888.8	8892	8892	8880	8872	8875.2	8892
0.74	8916.88	8951.66	8962	8962	8929.1	8915	8925.34	8962
0.76	9022.48	9086.92	9025	9025	9042.2	9025	9049.08	9111
0.78	9111.88	9112.66	9112	9112	9112.1	9112	9112.34	9113
0.8	9113.8	9147	9114	9114	9114	9114	9136	9169
0.82	9171.88	9286.4	9173	9173	9172.6	9173	9269.6	9383
0.84	9400.92	9430.2	9411	9411	9405.4	9411	9431.8	9411
0.86	9451.56	9461.24	9452	9452	9451.7	9452	9464.76	9452
0.88	9474.96	9479.6	9476	9476	9475.2	9474	9482.4	9476
0.9	9568.4	9696.2	9692	9692	9589	9486	9701.8	9692
0.92	9771.6	9942.2	9911	9911	9788	9706	10009.8	9911
0.94	10055.64	10147.9	10102	10102	10059.3	10041	10311.1	10102
0.96	10364.68	10409.56	10405	10405	10366.6	10357	10438.44	10405
0.98	10495.56	11154.48	11100	11100	10508.7	10443	11953.52	11100

\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
0.02 & 7512.76 & 7512.82 & 7513 & 7513 & 7591.3 & 7513 & 7510.18 & 7513 \tabularnewline
0.04 & 7622.68 & 7623.76 & 7627 & 7627 & 7646.2 & 7627 & 7603.24 & 7627 \tabularnewline
0.06 & 7673.04 & 7674.78 & 7680 & 7680 & 7699.6 & 7680 & 7656.22 & 7680 \tabularnewline
0.08 & 7725 & 7727 & 7733 & 7733 & 7734.2 & 7733 & 7714 & 7733 \tabularnewline
0.1 & 7735.6 & 7735.7 & 7736 & 7736 & 7747.5 & 7736 & 7735.3 & 7736 \tabularnewline
0.12 & 7785.52 & 7791.64 & 7810 & 7810 & 7820 & 7810 & 7777.36 & 7810 \tabularnewline
0.14 & 7836.32 & 7836.74 & 7838 & 7838 & 7863.2 & 7835 & 7836.26 & 7838 \tabularnewline
0.16 & 7932.8 & 7937.6 & 7952 & 7952 & 7956.2 & 7922 & 7936.4 & 7952 \tabularnewline
0.18 & 7982.52 & 7988.64 & 8007 & 8007 & 8007.7 & 7973 & 7991.36 & 7973 \tabularnewline
0.2 & 8023 & 8032 & 8059 & 8059 & 8059 & 8014 & 8041 & 8014 \tabularnewline
0.22 & 8065.68 & 8068.76 & 8078 & 8078 & 8076.6 & 8064 & 8073.24 & 8064 \tabularnewline
0.24 & 8101.04 & 8101.28 & 8102 & 8102 & 8101.8 & 8101 & 8101.72 & 8101 \tabularnewline
0.26 & 8119.28 & 8136.94 & 8120 & 8120 & 8173.9 & 8120 & 8180.06 & 8120 \tabularnewline
0.28 & 8207.56 & 8209.64 & 8209 & 8209 & 8211.4 & 8209 & 8212.36 & 8209 \tabularnewline
0.3 & 8219.4 & 8221.9 & 8221 & 8221 & 8225.5 & 8221 & 8229.1 & 8221 \tabularnewline
0.32 & 8234.32 & 8236.44 & 8236 & 8236 & 8240.4 & 8236 & 8246.56 & 8236 \tabularnewline
0.34 & 8250.84 & 8252.88 & 8253 & 8253 & 8257.5 & 8253 & 8247.12 & 8253 \tabularnewline
0.36 & 8273.6 & 8277.2 & 8278 & 8278 & 8280.6 & 8278 & 8268.8 & 8278 \tabularnewline
0.38 & 8291 & 8291 & 8291 & 8291 & 8292 & 8291 & 8291 & 8291 \tabularnewline
0.4 & 8301 & 8301 & 8301 & 8301 & 8301 & 8301 & 8301 & 8301 \tabularnewline
0.42 & 8313.92 & 8316.44 & 8318 & 8318 & 8317.4 & 8312 & 8313.56 & 8318 \tabularnewline
0.44 & 8321.4 & 8325.8 & 8329 & 8329 & 8327 & 8319 & 8322.2 & 8329 \tabularnewline
0.46 & 8368.88 & 8377.16 & 8384 & 8384 & 8378.6 & 8366 & 8372.84 & 8384 \tabularnewline
0.48 & 8406.4 & 8408.8 & 8411 & 8411 & 8409 & 8406 & 8408.2 & 8411 \tabularnewline
0.5 & 8417 & 8438 & 8417 & 8438 & 8438 & 8417 & 8438 & 8438 \tabularnewline
0.52 & 8462.68 & 8463.44 & 8463 & 8463 & 8463.4 & 8463 & 8463.56 & 8463 \tabularnewline
0.54 & 8466.52 & 8468.9 & 8467 & 8467 & 8468.5 & 8467 & 8470.1 & 8467 \tabularnewline
0.56 & 8475.04 & 8503.84 & 8476 & 8476 & 8493.4 & 8476 & 8535.16 & 8476 \tabularnewline
0.58 & 8573.88 & 8580.82 & 8579 & 8579 & 8579.7 & 8579 & 8584.18 & 8579 \tabularnewline
0.6 & 8604 & 8617.8 & 8616 & 8616 & 8616 & 8616 & 8623.2 & 8616 \tabularnewline
0.62 & 8625 & 8625.14 & 8625 & 8625 & 8625 & 8625 & 8625.86 & 8625 \tabularnewline
0.64 & 8627.76 & 8631.52 & 8630 & 8630 & 8629.2 & 8626 & 8647.48 & 8630 \tabularnewline
0.66 & 8673.84 & 8718.4 & 8718 & 8718 & 8697.3 & 8649 & 8737.6 & 8718 \tabularnewline
0.68 & 8752 & 8786 & 8788 & 8788 & 8768 & 8738 & 8740 & 8788 \tabularnewline
0.7 & 8822.2 & 8857.9 & 8863 & 8863 & 8837.5 & 8812 & 8817.1 & 8863 \tabularnewline
0.72 & 8874.4 & 8888.8 & 8892 & 8892 & 8880 & 8872 & 8875.2 & 8892 \tabularnewline
0.74 & 8916.88 & 8951.66 & 8962 & 8962 & 8929.1 & 8915 & 8925.34 & 8962 \tabularnewline
0.76 & 9022.48 & 9086.92 & 9025 & 9025 & 9042.2 & 9025 & 9049.08 & 9111 \tabularnewline
0.78 & 9111.88 & 9112.66 & 9112 & 9112 & 9112.1 & 9112 & 9112.34 & 9113 \tabularnewline
0.8 & 9113.8 & 9147 & 9114 & 9114 & 9114 & 9114 & 9136 & 9169 \tabularnewline
0.82 & 9171.88 & 9286.4 & 9173 & 9173 & 9172.6 & 9173 & 9269.6 & 9383 \tabularnewline
0.84 & 9400.92 & 9430.2 & 9411 & 9411 & 9405.4 & 9411 & 9431.8 & 9411 \tabularnewline
0.86 & 9451.56 & 9461.24 & 9452 & 9452 & 9451.7 & 9452 & 9464.76 & 9452 \tabularnewline
0.88 & 9474.96 & 9479.6 & 9476 & 9476 & 9475.2 & 9474 & 9482.4 & 9476 \tabularnewline
0.9 & 9568.4 & 9696.2 & 9692 & 9692 & 9589 & 9486 & 9701.8 & 9692 \tabularnewline
0.92 & 9771.6 & 9942.2 & 9911 & 9911 & 9788 & 9706 & 10009.8 & 9911 \tabularnewline
0.94 & 10055.64 & 10147.9 & 10102 & 10102 & 10059.3 & 10041 & 10311.1 & 10102 \tabularnewline
0.96 & 10364.68 & 10409.56 & 10405 & 10405 & 10366.6 & 10357 & 10438.44 & 10405 \tabularnewline
0.98 & 10495.56 & 11154.48 & 11100 & 11100 & 10508.7 & 10443 & 11953.52 & 11100 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157321&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]0.02[/C][C]7512.76[/C][C]7512.82[/C][C]7513[/C][C]7513[/C][C]7591.3[/C][C]7513[/C][C]7510.18[/C][C]7513[/C][/ROW]
[ROW][C]0.04[/C][C]7622.68[/C][C]7623.76[/C][C]7627[/C][C]7627[/C][C]7646.2[/C][C]7627[/C][C]7603.24[/C][C]7627[/C][/ROW]
[ROW][C]0.06[/C][C]7673.04[/C][C]7674.78[/C][C]7680[/C][C]7680[/C][C]7699.6[/C][C]7680[/C][C]7656.22[/C][C]7680[/C][/ROW]
[ROW][C]0.08[/C][C]7725[/C][C]7727[/C][C]7733[/C][C]7733[/C][C]7734.2[/C][C]7733[/C][C]7714[/C][C]7733[/C][/ROW]
[ROW][C]0.1[/C][C]7735.6[/C][C]7735.7[/C][C]7736[/C][C]7736[/C][C]7747.5[/C][C]7736[/C][C]7735.3[/C][C]7736[/C][/ROW]
[ROW][C]0.12[/C][C]7785.52[/C][C]7791.64[/C][C]7810[/C][C]7810[/C][C]7820[/C][C]7810[/C][C]7777.36[/C][C]7810[/C][/ROW]
[ROW][C]0.14[/C][C]7836.32[/C][C]7836.74[/C][C]7838[/C][C]7838[/C][C]7863.2[/C][C]7835[/C][C]7836.26[/C][C]7838[/C][/ROW]
[ROW][C]0.16[/C][C]7932.8[/C][C]7937.6[/C][C]7952[/C][C]7952[/C][C]7956.2[/C][C]7922[/C][C]7936.4[/C][C]7952[/C][/ROW]
[ROW][C]0.18[/C][C]7982.52[/C][C]7988.64[/C][C]8007[/C][C]8007[/C][C]8007.7[/C][C]7973[/C][C]7991.36[/C][C]7973[/C][/ROW]
[ROW][C]0.2[/C][C]8023[/C][C]8032[/C][C]8059[/C][C]8059[/C][C]8059[/C][C]8014[/C][C]8041[/C][C]8014[/C][/ROW]
[ROW][C]0.22[/C][C]8065.68[/C][C]8068.76[/C][C]8078[/C][C]8078[/C][C]8076.6[/C][C]8064[/C][C]8073.24[/C][C]8064[/C][/ROW]
[ROW][C]0.24[/C][C]8101.04[/C][C]8101.28[/C][C]8102[/C][C]8102[/C][C]8101.8[/C][C]8101[/C][C]8101.72[/C][C]8101[/C][/ROW]
[ROW][C]0.26[/C][C]8119.28[/C][C]8136.94[/C][C]8120[/C][C]8120[/C][C]8173.9[/C][C]8120[/C][C]8180.06[/C][C]8120[/C][/ROW]
[ROW][C]0.28[/C][C]8207.56[/C][C]8209.64[/C][C]8209[/C][C]8209[/C][C]8211.4[/C][C]8209[/C][C]8212.36[/C][C]8209[/C][/ROW]
[ROW][C]0.3[/C][C]8219.4[/C][C]8221.9[/C][C]8221[/C][C]8221[/C][C]8225.5[/C][C]8221[/C][C]8229.1[/C][C]8221[/C][/ROW]
[ROW][C]0.32[/C][C]8234.32[/C][C]8236.44[/C][C]8236[/C][C]8236[/C][C]8240.4[/C][C]8236[/C][C]8246.56[/C][C]8236[/C][/ROW]
[ROW][C]0.34[/C][C]8250.84[/C][C]8252.88[/C][C]8253[/C][C]8253[/C][C]8257.5[/C][C]8253[/C][C]8247.12[/C][C]8253[/C][/ROW]
[ROW][C]0.36[/C][C]8273.6[/C][C]8277.2[/C][C]8278[/C][C]8278[/C][C]8280.6[/C][C]8278[/C][C]8268.8[/C][C]8278[/C][/ROW]
[ROW][C]0.38[/C][C]8291[/C][C]8291[/C][C]8291[/C][C]8291[/C][C]8292[/C][C]8291[/C][C]8291[/C][C]8291[/C][/ROW]
[ROW][C]0.4[/C][C]8301[/C][C]8301[/C][C]8301[/C][C]8301[/C][C]8301[/C][C]8301[/C][C]8301[/C][C]8301[/C][/ROW]
[ROW][C]0.42[/C][C]8313.92[/C][C]8316.44[/C][C]8318[/C][C]8318[/C][C]8317.4[/C][C]8312[/C][C]8313.56[/C][C]8318[/C][/ROW]
[ROW][C]0.44[/C][C]8321.4[/C][C]8325.8[/C][C]8329[/C][C]8329[/C][C]8327[/C][C]8319[/C][C]8322.2[/C][C]8329[/C][/ROW]
[ROW][C]0.46[/C][C]8368.88[/C][C]8377.16[/C][C]8384[/C][C]8384[/C][C]8378.6[/C][C]8366[/C][C]8372.84[/C][C]8384[/C][/ROW]
[ROW][C]0.48[/C][C]8406.4[/C][C]8408.8[/C][C]8411[/C][C]8411[/C][C]8409[/C][C]8406[/C][C]8408.2[/C][C]8411[/C][/ROW]
[ROW][C]0.5[/C][C]8417[/C][C]8438[/C][C]8417[/C][C]8438[/C][C]8438[/C][C]8417[/C][C]8438[/C][C]8438[/C][/ROW]
[ROW][C]0.52[/C][C]8462.68[/C][C]8463.44[/C][C]8463[/C][C]8463[/C][C]8463.4[/C][C]8463[/C][C]8463.56[/C][C]8463[/C][/ROW]
[ROW][C]0.54[/C][C]8466.52[/C][C]8468.9[/C][C]8467[/C][C]8467[/C][C]8468.5[/C][C]8467[/C][C]8470.1[/C][C]8467[/C][/ROW]
[ROW][C]0.56[/C][C]8475.04[/C][C]8503.84[/C][C]8476[/C][C]8476[/C][C]8493.4[/C][C]8476[/C][C]8535.16[/C][C]8476[/C][/ROW]
[ROW][C]0.58[/C][C]8573.88[/C][C]8580.82[/C][C]8579[/C][C]8579[/C][C]8579.7[/C][C]8579[/C][C]8584.18[/C][C]8579[/C][/ROW]
[ROW][C]0.6[/C][C]8604[/C][C]8617.8[/C][C]8616[/C][C]8616[/C][C]8616[/C][C]8616[/C][C]8623.2[/C][C]8616[/C][/ROW]
[ROW][C]0.62[/C][C]8625[/C][C]8625.14[/C][C]8625[/C][C]8625[/C][C]8625[/C][C]8625[/C][C]8625.86[/C][C]8625[/C][/ROW]
[ROW][C]0.64[/C][C]8627.76[/C][C]8631.52[/C][C]8630[/C][C]8630[/C][C]8629.2[/C][C]8626[/C][C]8647.48[/C][C]8630[/C][/ROW]
[ROW][C]0.66[/C][C]8673.84[/C][C]8718.4[/C][C]8718[/C][C]8718[/C][C]8697.3[/C][C]8649[/C][C]8737.6[/C][C]8718[/C][/ROW]
[ROW][C]0.68[/C][C]8752[/C][C]8786[/C][C]8788[/C][C]8788[/C][C]8768[/C][C]8738[/C][C]8740[/C][C]8788[/C][/ROW]
[ROW][C]0.7[/C][C]8822.2[/C][C]8857.9[/C][C]8863[/C][C]8863[/C][C]8837.5[/C][C]8812[/C][C]8817.1[/C][C]8863[/C][/ROW]
[ROW][C]0.72[/C][C]8874.4[/C][C]8888.8[/C][C]8892[/C][C]8892[/C][C]8880[/C][C]8872[/C][C]8875.2[/C][C]8892[/C][/ROW]
[ROW][C]0.74[/C][C]8916.88[/C][C]8951.66[/C][C]8962[/C][C]8962[/C][C]8929.1[/C][C]8915[/C][C]8925.34[/C][C]8962[/C][/ROW]
[ROW][C]0.76[/C][C]9022.48[/C][C]9086.92[/C][C]9025[/C][C]9025[/C][C]9042.2[/C][C]9025[/C][C]9049.08[/C][C]9111[/C][/ROW]
[ROW][C]0.78[/C][C]9111.88[/C][C]9112.66[/C][C]9112[/C][C]9112[/C][C]9112.1[/C][C]9112[/C][C]9112.34[/C][C]9113[/C][/ROW]
[ROW][C]0.8[/C][C]9113.8[/C][C]9147[/C][C]9114[/C][C]9114[/C][C]9114[/C][C]9114[/C][C]9136[/C][C]9169[/C][/ROW]
[ROW][C]0.82[/C][C]9171.88[/C][C]9286.4[/C][C]9173[/C][C]9173[/C][C]9172.6[/C][C]9173[/C][C]9269.6[/C][C]9383[/C][/ROW]
[ROW][C]0.84[/C][C]9400.92[/C][C]9430.2[/C][C]9411[/C][C]9411[/C][C]9405.4[/C][C]9411[/C][C]9431.8[/C][C]9411[/C][/ROW]
[ROW][C]0.86[/C][C]9451.56[/C][C]9461.24[/C][C]9452[/C][C]9452[/C][C]9451.7[/C][C]9452[/C][C]9464.76[/C][C]9452[/C][/ROW]
[ROW][C]0.88[/C][C]9474.96[/C][C]9479.6[/C][C]9476[/C][C]9476[/C][C]9475.2[/C][C]9474[/C][C]9482.4[/C][C]9476[/C][/ROW]
[ROW][C]0.9[/C][C]9568.4[/C][C]9696.2[/C][C]9692[/C][C]9692[/C][C]9589[/C][C]9486[/C][C]9701.8[/C][C]9692[/C][/ROW]
[ROW][C]0.92[/C][C]9771.6[/C][C]9942.2[/C][C]9911[/C][C]9911[/C][C]9788[/C][C]9706[/C][C]10009.8[/C][C]9911[/C][/ROW]
[ROW][C]0.94[/C][C]10055.64[/C][C]10147.9[/C][C]10102[/C][C]10102[/C][C]10059.3[/C][C]10041[/C][C]10311.1[/C][C]10102[/C][/ROW]
[ROW][C]0.96[/C][C]10364.68[/C][C]10409.56[/C][C]10405[/C][C]10405[/C][C]10366.6[/C][C]10357[/C][C]10438.44[/C][C]10405[/C][/ROW]
[ROW][C]0.98[/C][C]10495.56[/C][C]11154.48[/C][C]11100[/C][C]11100[/C][C]10508.7[/C][C]10443[/C][C]11953.52[/C][C]11100[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157321&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157321&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)
0.02	7512.76	7512.82	7513	7513	7591.3	7513	7510.18	7513
0.04	7622.68	7623.76	7627	7627	7646.2	7627	7603.24	7627
0.06	7673.04	7674.78	7680	7680	7699.6	7680	7656.22	7680
0.08	7725	7727	7733	7733	7734.2	7733	7714	7733
0.1	7735.6	7735.7	7736	7736	7747.5	7736	7735.3	7736
0.12	7785.52	7791.64	7810	7810	7820	7810	7777.36	7810
0.14	7836.32	7836.74	7838	7838	7863.2	7835	7836.26	7838
0.16	7932.8	7937.6	7952	7952	7956.2	7922	7936.4	7952
0.18	7982.52	7988.64	8007	8007	8007.7	7973	7991.36	7973
0.2	8023	8032	8059	8059	8059	8014	8041	8014
0.22	8065.68	8068.76	8078	8078	8076.6	8064	8073.24	8064
0.24	8101.04	8101.28	8102	8102	8101.8	8101	8101.72	8101
0.26	8119.28	8136.94	8120	8120	8173.9	8120	8180.06	8120
0.28	8207.56	8209.64	8209	8209	8211.4	8209	8212.36	8209
0.3	8219.4	8221.9	8221	8221	8225.5	8221	8229.1	8221
0.32	8234.32	8236.44	8236	8236	8240.4	8236	8246.56	8236
0.34	8250.84	8252.88	8253	8253	8257.5	8253	8247.12	8253
0.36	8273.6	8277.2	8278	8278	8280.6	8278	8268.8	8278
0.38	8291	8291	8291	8291	8292	8291	8291	8291
0.4	8301	8301	8301	8301	8301	8301	8301	8301
0.42	8313.92	8316.44	8318	8318	8317.4	8312	8313.56	8318
0.44	8321.4	8325.8	8329	8329	8327	8319	8322.2	8329
0.46	8368.88	8377.16	8384	8384	8378.6	8366	8372.84	8384
0.48	8406.4	8408.8	8411	8411	8409	8406	8408.2	8411
0.5	8417	8438	8417	8438	8438	8417	8438	8438
0.52	8462.68	8463.44	8463	8463	8463.4	8463	8463.56	8463
0.54	8466.52	8468.9	8467	8467	8468.5	8467	8470.1	8467
0.56	8475.04	8503.84	8476	8476	8493.4	8476	8535.16	8476
0.58	8573.88	8580.82	8579	8579	8579.7	8579	8584.18	8579
0.6	8604	8617.8	8616	8616	8616	8616	8623.2	8616
0.62	8625	8625.14	8625	8625	8625	8625	8625.86	8625
0.64	8627.76	8631.52	8630	8630	8629.2	8626	8647.48	8630
0.66	8673.84	8718.4	8718	8718	8697.3	8649	8737.6	8718
0.68	8752	8786	8788	8788	8768	8738	8740	8788
0.7	8822.2	8857.9	8863	8863	8837.5	8812	8817.1	8863
0.72	8874.4	8888.8	8892	8892	8880	8872	8875.2	8892
0.74	8916.88	8951.66	8962	8962	8929.1	8915	8925.34	8962
0.76	9022.48	9086.92	9025	9025	9042.2	9025	9049.08	9111
0.78	9111.88	9112.66	9112	9112	9112.1	9112	9112.34	9113
0.8	9113.8	9147	9114	9114	9114	9114	9136	9169
0.82	9171.88	9286.4	9173	9173	9172.6	9173	9269.6	9383
0.84	9400.92	9430.2	9411	9411	9405.4	9411	9431.8	9411
0.86	9451.56	9461.24	9452	9452	9451.7	9452	9464.76	9452
0.88	9474.96	9479.6	9476	9476	9475.2	9474	9482.4	9476
0.9	9568.4	9696.2	9692	9692	9589	9486	9701.8	9692
0.92	9771.6	9942.2	9911	9911	9788	9706	10009.8	9911
0.94	10055.64	10147.9	10102	10102	10059.3	10041	10311.1	10102
0.96	10364.68	10409.56	10405	10405	10366.6	10357	10438.44	10405
0.98	10495.56	11154.48	11100	11100	10508.7	10443	11953.52	11100

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