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rwasp_percentiles.wasp

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Percentiles

Date of computation

Wed, 21 Nov 2012 12:16:43 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/21/t13535186965de2e48a5qztblu.htm/, Retrieved Sat, 02 May 2026 11:46:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=191491, Retrieved Sat, 02 May 2026 11:46:27 +0000

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Estimated Impact

371

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

-     [Central Tendency] [Arabica Price in ...] [2008-01-19 12:03:37] [74be16979710d4c4e7c6647856088456]
- RM D  [Percentiles] [] [2010-11-16 19:22:04] [b98453cac15ba1066b407e146608df68]
- R  D      [Percentiles] [normal QQ plot] [2012-11-21 17:16:43] [18a55f974a2e8651a7d8da0218fcbdb6] [Current]
- RM          [Mean versus Median] [gem mediaan] [2012-12-09 18:03:23] [93b3e8d0ee7e4ccb504c2c04707a9358] 

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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	2 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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191491&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191491&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191491&T=0

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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	'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	4835.4	4838.64	4965	4965	5006.76	4803	4929.36	4803
0.04	5057.8	5067.08	5197	5197	5197	4965	5094.92	4965
0.06	5197	5197	5197	5197	5797.48	5197	5197	5197
0.08	6086.6	6175.56	6309	6309	6366.6	6309	5330.44	6309
0.1	6389	6425.9	6389	6573.5	6721.1	6389	6721.1	6389
0.12	6854.4	6912.24	7240	7240	7245.12	6758	7085.76	6758
0.14	7265.6	7274.56	7304	7304	7388.24	7240	7269.44	7304
0.16	7498.4	7550.24	7628	7628	7801.36	7628	7381.76	7628
0.18	7943.2	8014.12	8022	8022	8115	8022	7635.88	8022
0.2	8172	8249.8	8172	8366.5	8483.2	8172	8483.2	8172
0.22	8566.6	8572.76	8589	8589	8588.44	8561	8577.24	8561
0.24	8771.4	8880.84	9045	9045	9085.96	8589	8753.16	9045
0.26	9198.6	9265.16	9301	9301	9301	9301	9080.84	9301
0.28	9301	9312.2	9301	9301	9373.8	9301	9429.8	9301
0.3	9441	9478.8	9441	9504	9529.2	9441	9529.2	9441
0.32	9568.4	9570.64	9574	9574	9573.16	9567	9570.36	9574
0.34	9894.8	10167.48	10376	10376	10384.52	9574	9782.52	10376
0.36	10461.2	10512.32	10518	10518	10518	10518	10381.68	10518
0.38	10518	10562.64	10518	10518	10622.16	10518	10721.36	10518
0.4	10766	10803.6	10766	10813	10822.4	10766	10822.4	10766
0.42	10868.4	10886.04	10902	10902	10892.76	10860	10875.96	10902
0.44	10903.6	10905.36	10906	10906	10905.84	10902	10902.64	10906
0.46	10961.8	11014.6	10999	10999	11035.4	10999	11243.4	10999
0.48	11207	11259	11259	11259	11259	11259	11259	11259
0.5	11259	11921.5	11259	11921.5	11921.5	11259	11921.5	11921.5
0.52	12590.8	12608.48	12618	12618	12607.12	12584	12593.52	12618
0.54	12672.4	12745.84	12754	12754	12734.96	12618	12626.16	12754
0.56	12932.2	13051.48	13051	13051	13051.12	13051	13053.52	13051
0.58	13053.4	13055.9	13054	13054	13055.1	13054	13057.1	13054
0.6	13059	13448.4	13059	13383.5	13318.6	13059	13318.6	13708
0.62	13819.4	14164.74	14265	14265	14031.06	13708	13808.26	14265
0.64	14307.8	14378	14372	14372	14346.32	14265	14516	14372
0.66	14462	14563.6	14522	14522	14513	14522	14640.4	14522
0.68	14650	14995.92	14682	14682	14760.48	14682	15022.08	14682
0.7	15336	15393.4	15336	15377	15360.6	15336	15360.6	15418
0.72	15538.8	15973.68	16022	16022	15707.92	15418	15466.32	16022
0.74	16039.2	16134.44	16065	16065	16050.38	16022	16491.56	16065
0.76	16362.6	16837.84	16561	16561	16481.64	16561	17053.16	16561
0.78	17176.2	17689.6	17330	17330	17342.4	17330	17590.4	17950
0.8	17950	18085.2	17950	18034.5	17983.8	17950	17983.8	18119
0.82	18125	18165.22	18149	18149	18130.4	18119	18943.78	18149
0.84	18473.4	18996	18960	18960	18603.16	18149	19074	18960
0.86	19050	19110.46	19110	19110	19071	19110	19110.54	19110
0.88	19110.8	20478.48	19111	19111	19110.92	19111	19754.52	21122
0.9	21122	21444.2	21122	21301	21157.8	21122	21157.8	21480
0.92	21985.8	24464.4	24009	24009	22188.12	21480	27348.6	24009
0.94	25527	28264.36	27804	27804	25754.7	24009	28697.64	27804
0.96	28616.4	29397.12	29158	29158	28670.56	29158	29345.88	29585
0.98	29499.6	31946.84	29585	29585	29508.14	29585	30251.16	32613

\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 & 4835.4 & 4838.64 & 4965 & 4965 & 5006.76 & 4803 & 4929.36 & 4803 \tabularnewline
0.04 & 5057.8 & 5067.08 & 5197 & 5197 & 5197 & 4965 & 5094.92 & 4965 \tabularnewline
0.06 & 5197 & 5197 & 5197 & 5197 & 5797.48 & 5197 & 5197 & 5197 \tabularnewline
0.08 & 6086.6 & 6175.56 & 6309 & 6309 & 6366.6 & 6309 & 5330.44 & 6309 \tabularnewline
0.1 & 6389 & 6425.9 & 6389 & 6573.5 & 6721.1 & 6389 & 6721.1 & 6389 \tabularnewline
0.12 & 6854.4 & 6912.24 & 7240 & 7240 & 7245.12 & 6758 & 7085.76 & 6758 \tabularnewline
0.14 & 7265.6 & 7274.56 & 7304 & 7304 & 7388.24 & 7240 & 7269.44 & 7304 \tabularnewline
0.16 & 7498.4 & 7550.24 & 7628 & 7628 & 7801.36 & 7628 & 7381.76 & 7628 \tabularnewline
0.18 & 7943.2 & 8014.12 & 8022 & 8022 & 8115 & 8022 & 7635.88 & 8022 \tabularnewline
0.2 & 8172 & 8249.8 & 8172 & 8366.5 & 8483.2 & 8172 & 8483.2 & 8172 \tabularnewline
0.22 & 8566.6 & 8572.76 & 8589 & 8589 & 8588.44 & 8561 & 8577.24 & 8561 \tabularnewline
0.24 & 8771.4 & 8880.84 & 9045 & 9045 & 9085.96 & 8589 & 8753.16 & 9045 \tabularnewline
0.26 & 9198.6 & 9265.16 & 9301 & 9301 & 9301 & 9301 & 9080.84 & 9301 \tabularnewline
0.28 & 9301 & 9312.2 & 9301 & 9301 & 9373.8 & 9301 & 9429.8 & 9301 \tabularnewline
0.3 & 9441 & 9478.8 & 9441 & 9504 & 9529.2 & 9441 & 9529.2 & 9441 \tabularnewline
0.32 & 9568.4 & 9570.64 & 9574 & 9574 & 9573.16 & 9567 & 9570.36 & 9574 \tabularnewline
0.34 & 9894.8 & 10167.48 & 10376 & 10376 & 10384.52 & 9574 & 9782.52 & 10376 \tabularnewline
0.36 & 10461.2 & 10512.32 & 10518 & 10518 & 10518 & 10518 & 10381.68 & 10518 \tabularnewline
0.38 & 10518 & 10562.64 & 10518 & 10518 & 10622.16 & 10518 & 10721.36 & 10518 \tabularnewline
0.4 & 10766 & 10803.6 & 10766 & 10813 & 10822.4 & 10766 & 10822.4 & 10766 \tabularnewline
0.42 & 10868.4 & 10886.04 & 10902 & 10902 & 10892.76 & 10860 & 10875.96 & 10902 \tabularnewline
0.44 & 10903.6 & 10905.36 & 10906 & 10906 & 10905.84 & 10902 & 10902.64 & 10906 \tabularnewline
0.46 & 10961.8 & 11014.6 & 10999 & 10999 & 11035.4 & 10999 & 11243.4 & 10999 \tabularnewline
0.48 & 11207 & 11259 & 11259 & 11259 & 11259 & 11259 & 11259 & 11259 \tabularnewline
0.5 & 11259 & 11921.5 & 11259 & 11921.5 & 11921.5 & 11259 & 11921.5 & 11921.5 \tabularnewline
0.52 & 12590.8 & 12608.48 & 12618 & 12618 & 12607.12 & 12584 & 12593.52 & 12618 \tabularnewline
0.54 & 12672.4 & 12745.84 & 12754 & 12754 & 12734.96 & 12618 & 12626.16 & 12754 \tabularnewline
0.56 & 12932.2 & 13051.48 & 13051 & 13051 & 13051.12 & 13051 & 13053.52 & 13051 \tabularnewline
0.58 & 13053.4 & 13055.9 & 13054 & 13054 & 13055.1 & 13054 & 13057.1 & 13054 \tabularnewline
0.6 & 13059 & 13448.4 & 13059 & 13383.5 & 13318.6 & 13059 & 13318.6 & 13708 \tabularnewline
0.62 & 13819.4 & 14164.74 & 14265 & 14265 & 14031.06 & 13708 & 13808.26 & 14265 \tabularnewline
0.64 & 14307.8 & 14378 & 14372 & 14372 & 14346.32 & 14265 & 14516 & 14372 \tabularnewline
0.66 & 14462 & 14563.6 & 14522 & 14522 & 14513 & 14522 & 14640.4 & 14522 \tabularnewline
0.68 & 14650 & 14995.92 & 14682 & 14682 & 14760.48 & 14682 & 15022.08 & 14682 \tabularnewline
0.7 & 15336 & 15393.4 & 15336 & 15377 & 15360.6 & 15336 & 15360.6 & 15418 \tabularnewline
0.72 & 15538.8 & 15973.68 & 16022 & 16022 & 15707.92 & 15418 & 15466.32 & 16022 \tabularnewline
0.74 & 16039.2 & 16134.44 & 16065 & 16065 & 16050.38 & 16022 & 16491.56 & 16065 \tabularnewline
0.76 & 16362.6 & 16837.84 & 16561 & 16561 & 16481.64 & 16561 & 17053.16 & 16561 \tabularnewline
0.78 & 17176.2 & 17689.6 & 17330 & 17330 & 17342.4 & 17330 & 17590.4 & 17950 \tabularnewline
0.8 & 17950 & 18085.2 & 17950 & 18034.5 & 17983.8 & 17950 & 17983.8 & 18119 \tabularnewline
0.82 & 18125 & 18165.22 & 18149 & 18149 & 18130.4 & 18119 & 18943.78 & 18149 \tabularnewline
0.84 & 18473.4 & 18996 & 18960 & 18960 & 18603.16 & 18149 & 19074 & 18960 \tabularnewline
0.86 & 19050 & 19110.46 & 19110 & 19110 & 19071 & 19110 & 19110.54 & 19110 \tabularnewline
0.88 & 19110.8 & 20478.48 & 19111 & 19111 & 19110.92 & 19111 & 19754.52 & 21122 \tabularnewline
0.9 & 21122 & 21444.2 & 21122 & 21301 & 21157.8 & 21122 & 21157.8 & 21480 \tabularnewline
0.92 & 21985.8 & 24464.4 & 24009 & 24009 & 22188.12 & 21480 & 27348.6 & 24009 \tabularnewline
0.94 & 25527 & 28264.36 & 27804 & 27804 & 25754.7 & 24009 & 28697.64 & 27804 \tabularnewline
0.96 & 28616.4 & 29397.12 & 29158 & 29158 & 28670.56 & 29158 & 29345.88 & 29585 \tabularnewline
0.98 & 29499.6 & 31946.84 & 29585 & 29585 & 29508.14 & 29585 & 30251.16 & 32613 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191491&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]4835.4[/C][C]4838.64[/C][C]4965[/C][C]4965[/C][C]5006.76[/C][C]4803[/C][C]4929.36[/C][C]4803[/C][/ROW]
[ROW][C]0.04[/C][C]5057.8[/C][C]5067.08[/C][C]5197[/C][C]5197[/C][C]5197[/C][C]4965[/C][C]5094.92[/C][C]4965[/C][/ROW]
[ROW][C]0.06[/C][C]5197[/C][C]5197[/C][C]5197[/C][C]5197[/C][C]5797.48[/C][C]5197[/C][C]5197[/C][C]5197[/C][/ROW]
[ROW][C]0.08[/C][C]6086.6[/C][C]6175.56[/C][C]6309[/C][C]6309[/C][C]6366.6[/C][C]6309[/C][C]5330.44[/C][C]6309[/C][/ROW]
[ROW][C]0.1[/C][C]6389[/C][C]6425.9[/C][C]6389[/C][C]6573.5[/C][C]6721.1[/C][C]6389[/C][C]6721.1[/C][C]6389[/C][/ROW]
[ROW][C]0.12[/C][C]6854.4[/C][C]6912.24[/C][C]7240[/C][C]7240[/C][C]7245.12[/C][C]6758[/C][C]7085.76[/C][C]6758[/C][/ROW]
[ROW][C]0.14[/C][C]7265.6[/C][C]7274.56[/C][C]7304[/C][C]7304[/C][C]7388.24[/C][C]7240[/C][C]7269.44[/C][C]7304[/C][/ROW]
[ROW][C]0.16[/C][C]7498.4[/C][C]7550.24[/C][C]7628[/C][C]7628[/C][C]7801.36[/C][C]7628[/C][C]7381.76[/C][C]7628[/C][/ROW]
[ROW][C]0.18[/C][C]7943.2[/C][C]8014.12[/C][C]8022[/C][C]8022[/C][C]8115[/C][C]8022[/C][C]7635.88[/C][C]8022[/C][/ROW]
[ROW][C]0.2[/C][C]8172[/C][C]8249.8[/C][C]8172[/C][C]8366.5[/C][C]8483.2[/C][C]8172[/C][C]8483.2[/C][C]8172[/C][/ROW]
[ROW][C]0.22[/C][C]8566.6[/C][C]8572.76[/C][C]8589[/C][C]8589[/C][C]8588.44[/C][C]8561[/C][C]8577.24[/C][C]8561[/C][/ROW]
[ROW][C]0.24[/C][C]8771.4[/C][C]8880.84[/C][C]9045[/C][C]9045[/C][C]9085.96[/C][C]8589[/C][C]8753.16[/C][C]9045[/C][/ROW]
[ROW][C]0.26[/C][C]9198.6[/C][C]9265.16[/C][C]9301[/C][C]9301[/C][C]9301[/C][C]9301[/C][C]9080.84[/C][C]9301[/C][/ROW]
[ROW][C]0.28[/C][C]9301[/C][C]9312.2[/C][C]9301[/C][C]9301[/C][C]9373.8[/C][C]9301[/C][C]9429.8[/C][C]9301[/C][/ROW]
[ROW][C]0.3[/C][C]9441[/C][C]9478.8[/C][C]9441[/C][C]9504[/C][C]9529.2[/C][C]9441[/C][C]9529.2[/C][C]9441[/C][/ROW]
[ROW][C]0.32[/C][C]9568.4[/C][C]9570.64[/C][C]9574[/C][C]9574[/C][C]9573.16[/C][C]9567[/C][C]9570.36[/C][C]9574[/C][/ROW]
[ROW][C]0.34[/C][C]9894.8[/C][C]10167.48[/C][C]10376[/C][C]10376[/C][C]10384.52[/C][C]9574[/C][C]9782.52[/C][C]10376[/C][/ROW]
[ROW][C]0.36[/C][C]10461.2[/C][C]10512.32[/C][C]10518[/C][C]10518[/C][C]10518[/C][C]10518[/C][C]10381.68[/C][C]10518[/C][/ROW]
[ROW][C]0.38[/C][C]10518[/C][C]10562.64[/C][C]10518[/C][C]10518[/C][C]10622.16[/C][C]10518[/C][C]10721.36[/C][C]10518[/C][/ROW]
[ROW][C]0.4[/C][C]10766[/C][C]10803.6[/C][C]10766[/C][C]10813[/C][C]10822.4[/C][C]10766[/C][C]10822.4[/C][C]10766[/C][/ROW]
[ROW][C]0.42[/C][C]10868.4[/C][C]10886.04[/C][C]10902[/C][C]10902[/C][C]10892.76[/C][C]10860[/C][C]10875.96[/C][C]10902[/C][/ROW]
[ROW][C]0.44[/C][C]10903.6[/C][C]10905.36[/C][C]10906[/C][C]10906[/C][C]10905.84[/C][C]10902[/C][C]10902.64[/C][C]10906[/C][/ROW]
[ROW][C]0.46[/C][C]10961.8[/C][C]11014.6[/C][C]10999[/C][C]10999[/C][C]11035.4[/C][C]10999[/C][C]11243.4[/C][C]10999[/C][/ROW]
[ROW][C]0.48[/C][C]11207[/C][C]11259[/C][C]11259[/C][C]11259[/C][C]11259[/C][C]11259[/C][C]11259[/C][C]11259[/C][/ROW]
[ROW][C]0.5[/C][C]11259[/C][C]11921.5[/C][C]11259[/C][C]11921.5[/C][C]11921.5[/C][C]11259[/C][C]11921.5[/C][C]11921.5[/C][/ROW]
[ROW][C]0.52[/C][C]12590.8[/C][C]12608.48[/C][C]12618[/C][C]12618[/C][C]12607.12[/C][C]12584[/C][C]12593.52[/C][C]12618[/C][/ROW]
[ROW][C]0.54[/C][C]12672.4[/C][C]12745.84[/C][C]12754[/C][C]12754[/C][C]12734.96[/C][C]12618[/C][C]12626.16[/C][C]12754[/C][/ROW]
[ROW][C]0.56[/C][C]12932.2[/C][C]13051.48[/C][C]13051[/C][C]13051[/C][C]13051.12[/C][C]13051[/C][C]13053.52[/C][C]13051[/C][/ROW]
[ROW][C]0.58[/C][C]13053.4[/C][C]13055.9[/C][C]13054[/C][C]13054[/C][C]13055.1[/C][C]13054[/C][C]13057.1[/C][C]13054[/C][/ROW]
[ROW][C]0.6[/C][C]13059[/C][C]13448.4[/C][C]13059[/C][C]13383.5[/C][C]13318.6[/C][C]13059[/C][C]13318.6[/C][C]13708[/C][/ROW]
[ROW][C]0.62[/C][C]13819.4[/C][C]14164.74[/C][C]14265[/C][C]14265[/C][C]14031.06[/C][C]13708[/C][C]13808.26[/C][C]14265[/C][/ROW]
[ROW][C]0.64[/C][C]14307.8[/C][C]14378[/C][C]14372[/C][C]14372[/C][C]14346.32[/C][C]14265[/C][C]14516[/C][C]14372[/C][/ROW]
[ROW][C]0.66[/C][C]14462[/C][C]14563.6[/C][C]14522[/C][C]14522[/C][C]14513[/C][C]14522[/C][C]14640.4[/C][C]14522[/C][/ROW]
[ROW][C]0.68[/C][C]14650[/C][C]14995.92[/C][C]14682[/C][C]14682[/C][C]14760.48[/C][C]14682[/C][C]15022.08[/C][C]14682[/C][/ROW]
[ROW][C]0.7[/C][C]15336[/C][C]15393.4[/C][C]15336[/C][C]15377[/C][C]15360.6[/C][C]15336[/C][C]15360.6[/C][C]15418[/C][/ROW]
[ROW][C]0.72[/C][C]15538.8[/C][C]15973.68[/C][C]16022[/C][C]16022[/C][C]15707.92[/C][C]15418[/C][C]15466.32[/C][C]16022[/C][/ROW]
[ROW][C]0.74[/C][C]16039.2[/C][C]16134.44[/C][C]16065[/C][C]16065[/C][C]16050.38[/C][C]16022[/C][C]16491.56[/C][C]16065[/C][/ROW]
[ROW][C]0.76[/C][C]16362.6[/C][C]16837.84[/C][C]16561[/C][C]16561[/C][C]16481.64[/C][C]16561[/C][C]17053.16[/C][C]16561[/C][/ROW]
[ROW][C]0.78[/C][C]17176.2[/C][C]17689.6[/C][C]17330[/C][C]17330[/C][C]17342.4[/C][C]17330[/C][C]17590.4[/C][C]17950[/C][/ROW]
[ROW][C]0.8[/C][C]17950[/C][C]18085.2[/C][C]17950[/C][C]18034.5[/C][C]17983.8[/C][C]17950[/C][C]17983.8[/C][C]18119[/C][/ROW]
[ROW][C]0.82[/C][C]18125[/C][C]18165.22[/C][C]18149[/C][C]18149[/C][C]18130.4[/C][C]18119[/C][C]18943.78[/C][C]18149[/C][/ROW]
[ROW][C]0.84[/C][C]18473.4[/C][C]18996[/C][C]18960[/C][C]18960[/C][C]18603.16[/C][C]18149[/C][C]19074[/C][C]18960[/C][/ROW]
[ROW][C]0.86[/C][C]19050[/C][C]19110.46[/C][C]19110[/C][C]19110[/C][C]19071[/C][C]19110[/C][C]19110.54[/C][C]19110[/C][/ROW]
[ROW][C]0.88[/C][C]19110.8[/C][C]20478.48[/C][C]19111[/C][C]19111[/C][C]19110.92[/C][C]19111[/C][C]19754.52[/C][C]21122[/C][/ROW]
[ROW][C]0.9[/C][C]21122[/C][C]21444.2[/C][C]21122[/C][C]21301[/C][C]21157.8[/C][C]21122[/C][C]21157.8[/C][C]21480[/C][/ROW]
[ROW][C]0.92[/C][C]21985.8[/C][C]24464.4[/C][C]24009[/C][C]24009[/C][C]22188.12[/C][C]21480[/C][C]27348.6[/C][C]24009[/C][/ROW]
[ROW][C]0.94[/C][C]25527[/C][C]28264.36[/C][C]27804[/C][C]27804[/C][C]25754.7[/C][C]24009[/C][C]28697.64[/C][C]27804[/C][/ROW]
[ROW][C]0.96[/C][C]28616.4[/C][C]29397.12[/C][C]29158[/C][C]29158[/C][C]28670.56[/C][C]29158[/C][C]29345.88[/C][C]29585[/C][/ROW]
[ROW][C]0.98[/C][C]29499.6[/C][C]31946.84[/C][C]29585[/C][C]29585[/C][C]29508.14[/C][C]29585[/C][C]30251.16[/C][C]32613[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191491&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191491&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	4835.4	4838.64	4965	4965	5006.76	4803	4929.36	4803
0.04	5057.8	5067.08	5197	5197	5197	4965	5094.92	4965
0.06	5197	5197	5197	5197	5797.48	5197	5197	5197
0.08	6086.6	6175.56	6309	6309	6366.6	6309	5330.44	6309
0.1	6389	6425.9	6389	6573.5	6721.1	6389	6721.1	6389
0.12	6854.4	6912.24	7240	7240	7245.12	6758	7085.76	6758
0.14	7265.6	7274.56	7304	7304	7388.24	7240	7269.44	7304
0.16	7498.4	7550.24	7628	7628	7801.36	7628	7381.76	7628
0.18	7943.2	8014.12	8022	8022	8115	8022	7635.88	8022
0.2	8172	8249.8	8172	8366.5	8483.2	8172	8483.2	8172
0.22	8566.6	8572.76	8589	8589	8588.44	8561	8577.24	8561
0.24	8771.4	8880.84	9045	9045	9085.96	8589	8753.16	9045
0.26	9198.6	9265.16	9301	9301	9301	9301	9080.84	9301
0.28	9301	9312.2	9301	9301	9373.8	9301	9429.8	9301
0.3	9441	9478.8	9441	9504	9529.2	9441	9529.2	9441
0.32	9568.4	9570.64	9574	9574	9573.16	9567	9570.36	9574
0.34	9894.8	10167.48	10376	10376	10384.52	9574	9782.52	10376
0.36	10461.2	10512.32	10518	10518	10518	10518	10381.68	10518
0.38	10518	10562.64	10518	10518	10622.16	10518	10721.36	10518
0.4	10766	10803.6	10766	10813	10822.4	10766	10822.4	10766
0.42	10868.4	10886.04	10902	10902	10892.76	10860	10875.96	10902
0.44	10903.6	10905.36	10906	10906	10905.84	10902	10902.64	10906
0.46	10961.8	11014.6	10999	10999	11035.4	10999	11243.4	10999
0.48	11207	11259	11259	11259	11259	11259	11259	11259
0.5	11259	11921.5	11259	11921.5	11921.5	11259	11921.5	11921.5
0.52	12590.8	12608.48	12618	12618	12607.12	12584	12593.52	12618
0.54	12672.4	12745.84	12754	12754	12734.96	12618	12626.16	12754
0.56	12932.2	13051.48	13051	13051	13051.12	13051	13053.52	13051
0.58	13053.4	13055.9	13054	13054	13055.1	13054	13057.1	13054
0.6	13059	13448.4	13059	13383.5	13318.6	13059	13318.6	13708
0.62	13819.4	14164.74	14265	14265	14031.06	13708	13808.26	14265
0.64	14307.8	14378	14372	14372	14346.32	14265	14516	14372
0.66	14462	14563.6	14522	14522	14513	14522	14640.4	14522
0.68	14650	14995.92	14682	14682	14760.48	14682	15022.08	14682
0.7	15336	15393.4	15336	15377	15360.6	15336	15360.6	15418
0.72	15538.8	15973.68	16022	16022	15707.92	15418	15466.32	16022
0.74	16039.2	16134.44	16065	16065	16050.38	16022	16491.56	16065
0.76	16362.6	16837.84	16561	16561	16481.64	16561	17053.16	16561
0.78	17176.2	17689.6	17330	17330	17342.4	17330	17590.4	17950
0.8	17950	18085.2	17950	18034.5	17983.8	17950	17983.8	18119
0.82	18125	18165.22	18149	18149	18130.4	18119	18943.78	18149
0.84	18473.4	18996	18960	18960	18603.16	18149	19074	18960
0.86	19050	19110.46	19110	19110	19071	19110	19110.54	19110
0.88	19110.8	20478.48	19111	19111	19110.92	19111	19754.52	21122
0.9	21122	21444.2	21122	21301	21157.8	21122	21157.8	21480
0.92	21985.8	24464.4	24009	24009	22188.12	21480	27348.6	24009
0.94	25527	28264.36	27804	27804	25754.7	24009	28697.64	27804
0.96	28616.4	29397.12	29158	29158	28670.56	29158	29345.88	29585
0.98	29499.6	31946.84	29585	29585	29508.14	29585	30251.16	32613

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