Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Moduleperc.wasp
Title produced by softwarePercentiles and Normal Probability Plot
Date of computationSun, 21 Oct 2007 06:35:36 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Oct/21/z1evxp6jm23jx2x1192973470.htm/, Retrieved Thu, 09 May 2024 14:47:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1319, Retrieved Thu, 09 May 2024 14:47:19 +0000
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Dataseries X:
109,20
88,60
94,30
98,30
86,40
80,60
104,10
108,20
93,40
71,90
94,10
94,90
96,40
91,10
84,40
86,40
88,00
75,10
109,70
103,00
82,10
68,00
96,40
94,30
90,00
88,00
76,10
82,50
81,40
66,50
97,20
94,10
80,70
70,50
87,80
89,50
99,60
84,20
75,10
92,00
80,80
73,10
99,80
90,00
83,10
72,40
78,80
87,30
91,00
80,10
73,60
86,40
74,50
71,20
92,40
81,50
85,30
69,90
84,20
90,70
100,30




Percentiles - Ungrouped Data
%Weighted 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)
0.0266.830066.860068.000068.000068.380066.500067.640066.5000
0.0468.836068.912069.900069.900070.140068.000068.988068.0000
0.0670.296070.332070.500070.500070.920070.500070.068070.5000
0.0871.116071.172071.200071.200071.760071.200070.528071.2000
0.1071.950072.000072.400072.400072.400071.900072.300071.9000
0.1272.624072.708073.100073.100073.200072.400072.792072.4000
0.1473.370073.440073.600073.600073.960073.600073.260073.6000
0.1674.284074.428074.500074.500074.860074.500073.672074.5000
0.1875.088075.100075.100075.100075.100075.100075.100075.1000
0.2075.300075.500076.100076.100076.100075.100075.700075.1000
0.2277.234077.828078.800078.800079.060076.100077.072078.8000
0.2479.632079.944080.100080.100080.300080.100078.956080.1000
0.2680.530080.612080.600080.600080.660080.600080.688080.6000
0.2880.708080.736080.800080.800080.780080.700080.764080.7000
0.3080.980081.160081.400081.400081.400080.800081.040081.4000
0.3281.452081.484081.500081.500081.620081.500081.416081.5000
0.3481.944082.132082.100082.100082.260082.100082.468082.1000
0.3682.484082.692082.500082.500082.860082.500082.908082.5000
0.3883.298083.716084.200084.200083.980083.100083.584084.2000
0.4084.200084.200084.200084.200084.200084.200084.200084.2000
0.4284.324084.436084.400084.400084.580084.400085.264084.4000
0.4485.156085.608085.300085.300085.740085.300086.092085.3000
0.4686.400086.400086.400086.400086.400086.400086.400086.4000
0.4886.400086.400086.400086.400086.400086.400086.400086.4000
0.5086.850087.300087.300087.300087.300087.300087.300087.3000
0.5287.660087.848087.800087.800087.840087.800087.952087.8000
0.5487.988088.000088.000088.000088.000088.000088.000088.0000
0.5688.096088.432088.600088.600088.360088.000088.168088.6000
0.5888.942089.464089.500089.500089.320088.600088.636089.5000
0.6089.800090.000090.000090.000090.000090.000090.000090.0000
0.6290.000090.308090.000090.000090.140090.000090.392090.0000
0.6490.712090.904091.000091.000090.820090.700090.796091.0000
0.6691.026091.092091.100091.100091.060091.000091.008091.1000
0.6891.532092.064092.000092.000091.820091.100092.336092.0000
0.7092.280092.800092.400092.400092.400092.400093.000092.4000
0.7293.320093.848093.400093.400093.540093.400093.652094.1000
0.7494.100094.100094.100094.100094.100094.100094.100094.1000
0.7694.172094.300094.300094.300094.220094.100094.300094.3000
0.7894.300094.516094.300094.300094.300094.300094.684094.3000
0.8094.780095.800094.900094.900094.900094.900095.500096.4000
0.8296.400096.400096.400096.400096.400096.400096.400096.4000
0.8496.592097.288097.200097.200096.720096.400098.212097.2000
0.8697.706098.716098.300098.300097.860097.200099.184098.3000
0.8899.184099.712099.600099.600099.340099.600099.688099.8000
0.9099.7800100.200099.800099.800099.800099.800099.9000100.3000
0.92100.6240103.0440103.0000103.0000100.8400100.3000104.0560103.0000
0.94103.3740105.2480104.1000104.1000103.4400103.0000107.0520104.1000
0.96106.3960108.7200108.2000108.2000106.5600108.2000108.6800109.2000
0.98108.9800109.5800109.2000109.2000109.0000109.2000109.3200109.7000

\begin{tabular}{lllllllll}
\hline

Percentiles - Ungrouped Data \tabularnewline

%
Weighted 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) \tabularnewline 0.0266.830066.860068.000068.000068.380066.500067.640066.5000 \tabularnewline 0.0468.836068.912069.900069.900070.140068.000068.988068.0000 \tabularnewline 0.0670.296070.332070.500070.500070.920070.500070.068070.5000 \tabularnewline 0.0871.116071.172071.200071.200071.760071.200070.528071.2000 \tabularnewline 0.1071.950072.000072.400072.400072.400071.900072.300071.9000 \tabularnewline 0.1272.624072.708073.100073.100073.200072.400072.792072.4000 \tabularnewline 0.1473.370073.440073.600073.600073.960073.600073.260073.6000 \tabularnewline 0.1674.284074.428074.500074.500074.860074.500073.672074.5000 \tabularnewline 0.1875.088075.100075.100075.100075.100075.100075.100075.1000 \tabularnewline 0.2075.300075.500076.100076.100076.100075.100075.700075.1000 \tabularnewline 0.2277.234077.828078.800078.800079.060076.100077.072078.8000 \tabularnewline 0.2479.632079.944080.100080.100080.300080.100078.956080.1000 \tabularnewline 0.2680.530080.612080.600080.600080.660080.600080.688080.6000 \tabularnewline 0.2880.708080.736080.800080.800080.780080.700080.764080.7000 \tabularnewline 0.3080.980081.160081.400081.400081.400080.800081.040081.4000 \tabularnewline 0.3281.452081.484081.500081.500081.620081.500081.416081.5000 \tabularnewline 0.3481.944082.132082.100082.100082.260082.100082.468082.1000 \tabularnewline 0.3682.484082.692082.500082.500082.860082.500082.908082.5000 \tabularnewline 0.3883.298083.716084.200084.200083.980083.100083.584084.2000 \tabularnewline 0.4084.200084.200084.200084.200084.200084.200084.200084.2000 \tabularnewline 0.4284.324084.436084.400084.400084.580084.400085.264084.4000 \tabularnewline 0.4485.156085.608085.300085.300085.740085.300086.092085.3000 \tabularnewline 0.4686.400086.400086.400086.400086.400086.400086.400086.4000 \tabularnewline 0.4886.400086.400086.400086.400086.400086.400086.400086.4000 \tabularnewline 0.5086.850087.300087.300087.300087.300087.300087.300087.3000 \tabularnewline 0.5287.660087.848087.800087.800087.840087.800087.952087.8000 \tabularnewline 0.5487.988088.000088.000088.000088.000088.000088.000088.0000 \tabularnewline 0.5688.096088.432088.600088.600088.360088.000088.168088.6000 \tabularnewline 0.5888.942089.464089.500089.500089.320088.600088.636089.5000 \tabularnewline 0.6089.800090.000090.000090.000090.000090.000090.000090.0000 \tabularnewline 0.6290.000090.308090.000090.000090.140090.000090.392090.0000 \tabularnewline 0.6490.712090.904091.000091.000090.820090.700090.796091.0000 \tabularnewline 0.6691.026091.092091.100091.100091.060091.000091.008091.1000 \tabularnewline 0.6891.532092.064092.000092.000091.820091.100092.336092.0000 \tabularnewline 0.7092.280092.800092.400092.400092.400092.400093.000092.4000 \tabularnewline 0.7293.320093.848093.400093.400093.540093.400093.652094.1000 \tabularnewline 0.7494.100094.100094.100094.100094.100094.100094.100094.1000 \tabularnewline 0.7694.172094.300094.300094.300094.220094.100094.300094.3000 \tabularnewline 0.7894.300094.516094.300094.300094.300094.300094.684094.3000 \tabularnewline 0.8094.780095.800094.900094.900094.900094.900095.500096.4000 \tabularnewline 0.8296.400096.400096.400096.400096.400096.400096.400096.4000 \tabularnewline 0.8496.592097.288097.200097.200096.720096.400098.212097.2000 \tabularnewline 0.8697.706098.716098.300098.300097.860097.200099.184098.3000 \tabularnewline 0.8899.184099.712099.600099.600099.340099.600099.688099.8000 \tabularnewline 0.9099.7800100.200099.800099.800099.800099.800099.9000100.3000 \tabularnewline 0.92100.6240103.0440103.0000103.0000100.8400100.3000104.0560103.0000 \tabularnewline 0.94103.3740105.2480104.1000104.1000103.4400103.0000107.0520104.1000 \tabularnewline 0.96106.3960108.7200108.2000108.2000106.5600108.2000108.6800109.2000 \tabularnewline 0.98108.9800109.5800109.2000109.2000109.0000109.2000109.3200109.7000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=1319&T=0

[TABLE]

[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]

[ROW][C]%[/C]
Weighted Average at Xnp[/C]Weighted Average at X(n+1)p[/C]Empirical Distribution Function[/C]Empirical Distribution Function - Averaging[/C]Empirical Distribution Function - Interpolation[/C]Closest Observation[/C]True Basic - Statistics Graphics Toolkit[/C]MS Excel (old versions)[/C][/ROW] [ROW]0.02[/C]66.8300[/C]66.8600[/C]68.0000[/C]68.0000[/C]68.3800[/C]66.5000[/C]67.6400[/C]66.5000[/C][/ROW] [ROW]0.04[/C]68.8360[/C]68.9120[/C]69.9000[/C]69.9000[/C]70.1400[/C]68.0000[/C]68.9880[/C]68.0000[/C][/ROW] [ROW]0.06[/C]70.2960[/C]70.3320[/C]70.5000[/C]70.5000[/C]70.9200[/C]70.5000[/C]70.0680[/C]70.5000[/C][/ROW] [ROW]0.08[/C]71.1160[/C]71.1720[/C]71.2000[/C]71.2000[/C]71.7600[/C]71.2000[/C]70.5280[/C]71.2000[/C][/ROW] [ROW]0.10[/C]71.9500[/C]72.0000[/C]72.4000[/C]72.4000[/C]72.4000[/C]71.9000[/C]72.3000[/C]71.9000[/C][/ROW] [ROW]0.12[/C]72.6240[/C]72.7080[/C]73.1000[/C]73.1000[/C]73.2000[/C]72.4000[/C]72.7920[/C]72.4000[/C][/ROW] [ROW]0.14[/C]73.3700[/C]73.4400[/C]73.6000[/C]73.6000[/C]73.9600[/C]73.6000[/C]73.2600[/C]73.6000[/C][/ROW] [ROW]0.16[/C]74.2840[/C]74.4280[/C]74.5000[/C]74.5000[/C]74.8600[/C]74.5000[/C]73.6720[/C]74.5000[/C][/ROW] [ROW]0.18[/C]75.0880[/C]75.1000[/C]75.1000[/C]75.1000[/C]75.1000[/C]75.1000[/C]75.1000[/C]75.1000[/C][/ROW] [ROW]0.20[/C]75.3000[/C]75.5000[/C]76.1000[/C]76.1000[/C]76.1000[/C]75.1000[/C]75.7000[/C]75.1000[/C][/ROW] [ROW]0.22[/C]77.2340[/C]77.8280[/C]78.8000[/C]78.8000[/C]79.0600[/C]76.1000[/C]77.0720[/C]78.8000[/C][/ROW] [ROW]0.24[/C]79.6320[/C]79.9440[/C]80.1000[/C]80.1000[/C]80.3000[/C]80.1000[/C]78.9560[/C]80.1000[/C][/ROW] [ROW]0.26[/C]80.5300[/C]80.6120[/C]80.6000[/C]80.6000[/C]80.6600[/C]80.6000[/C]80.6880[/C]80.6000[/C][/ROW] [ROW]0.28[/C]80.7080[/C]80.7360[/C]80.8000[/C]80.8000[/C]80.7800[/C]80.7000[/C]80.7640[/C]80.7000[/C][/ROW] [ROW]0.30[/C]80.9800[/C]81.1600[/C]81.4000[/C]81.4000[/C]81.4000[/C]80.8000[/C]81.0400[/C]81.4000[/C][/ROW] [ROW]0.32[/C]81.4520[/C]81.4840[/C]81.5000[/C]81.5000[/C]81.6200[/C]81.5000[/C]81.4160[/C]81.5000[/C][/ROW] [ROW]0.34[/C]81.9440[/C]82.1320[/C]82.1000[/C]82.1000[/C]82.2600[/C]82.1000[/C]82.4680[/C]82.1000[/C][/ROW] [ROW]0.36[/C]82.4840[/C]82.6920[/C]82.5000[/C]82.5000[/C]82.8600[/C]82.5000[/C]82.9080[/C]82.5000[/C][/ROW] [ROW]0.38[/C]83.2980[/C]83.7160[/C]84.2000[/C]84.2000[/C]83.9800[/C]83.1000[/C]83.5840[/C]84.2000[/C][/ROW] [ROW]0.40[/C]84.2000[/C]84.2000[/C]84.2000[/C]84.2000[/C]84.2000[/C]84.2000[/C]84.2000[/C]84.2000[/C][/ROW] [ROW]0.42[/C]84.3240[/C]84.4360[/C]84.4000[/C]84.4000[/C]84.5800[/C]84.4000[/C]85.2640[/C]84.4000[/C][/ROW] [ROW]0.44[/C]85.1560[/C]85.6080[/C]85.3000[/C]85.3000[/C]85.7400[/C]85.3000[/C]86.0920[/C]85.3000[/C][/ROW] [ROW]0.46[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C][/ROW] [ROW]0.48[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C]86.4000[/C][/ROW] [ROW]0.50[/C]86.8500[/C]87.3000[/C]87.3000[/C]87.3000[/C]87.3000[/C]87.3000[/C]87.3000[/C]87.3000[/C][/ROW] [ROW]0.52[/C]87.6600[/C]87.8480[/C]87.8000[/C]87.8000[/C]87.8400[/C]87.8000[/C]87.9520[/C]87.8000[/C][/ROW] [ROW]0.54[/C]87.9880[/C]88.0000[/C]88.0000[/C]88.0000[/C]88.0000[/C]88.0000[/C]88.0000[/C]88.0000[/C][/ROW] [ROW]0.56[/C]88.0960[/C]88.4320[/C]88.6000[/C]88.6000[/C]88.3600[/C]88.0000[/C]88.1680[/C]88.6000[/C][/ROW] [ROW]0.58[/C]88.9420[/C]89.4640[/C]89.5000[/C]89.5000[/C]89.3200[/C]88.6000[/C]88.6360[/C]89.5000[/C][/ROW] [ROW]0.60[/C]89.8000[/C]90.0000[/C]90.0000[/C]90.0000[/C]90.0000[/C]90.0000[/C]90.0000[/C]90.0000[/C][/ROW] [ROW]0.62[/C]90.0000[/C]90.3080[/C]90.0000[/C]90.0000[/C]90.1400[/C]90.0000[/C]90.3920[/C]90.0000[/C][/ROW] [ROW]0.64[/C]90.7120[/C]90.9040[/C]91.0000[/C]91.0000[/C]90.8200[/C]90.7000[/C]90.7960[/C]91.0000[/C][/ROW] [ROW]0.66[/C]91.0260[/C]91.0920[/C]91.1000[/C]91.1000[/C]91.0600[/C]91.0000[/C]91.0080[/C]91.1000[/C][/ROW] [ROW]0.68[/C]91.5320[/C]92.0640[/C]92.0000[/C]92.0000[/C]91.8200[/C]91.1000[/C]92.3360[/C]92.0000[/C][/ROW] [ROW]0.70[/C]92.2800[/C]92.8000[/C]92.4000[/C]92.4000[/C]92.4000[/C]92.4000[/C]93.0000[/C]92.4000[/C][/ROW] [ROW]0.72[/C]93.3200[/C]93.8480[/C]93.4000[/C]93.4000[/C]93.5400[/C]93.4000[/C]93.6520[/C]94.1000[/C][/ROW] [ROW]0.74[/C]94.1000[/C]94.1000[/C]94.1000[/C]94.1000[/C]94.1000[/C]94.1000[/C]94.1000[/C]94.1000[/C][/ROW] [ROW]0.76[/C]94.1720[/C]94.3000[/C]94.3000[/C]94.3000[/C]94.2200[/C]94.1000[/C]94.3000[/C]94.3000[/C][/ROW] [ROW]0.78[/C]94.3000[/C]94.5160[/C]94.3000[/C]94.3000[/C]94.3000[/C]94.3000[/C]94.6840[/C]94.3000[/C][/ROW] [ROW]0.80[/C]94.7800[/C]95.8000[/C]94.9000[/C]94.9000[/C]94.9000[/C]94.9000[/C]95.5000[/C]96.4000[/C][/ROW] [ROW]0.82[/C]96.4000[/C]96.4000[/C]96.4000[/C]96.4000[/C]96.4000[/C]96.4000[/C]96.4000[/C]96.4000[/C][/ROW] [ROW]0.84[/C]96.5920[/C]97.2880[/C]97.2000[/C]97.2000[/C]96.7200[/C]96.4000[/C]98.2120[/C]97.2000[/C][/ROW] [ROW]0.86[/C]97.7060[/C]98.7160[/C]98.3000[/C]98.3000[/C]97.8600[/C]97.2000[/C]99.1840[/C]98.3000[/C][/ROW] [ROW]0.88[/C]99.1840[/C]99.7120[/C]99.6000[/C]99.6000[/C]99.3400[/C]99.6000[/C]99.6880[/C]99.8000[/C][/ROW] [ROW]0.90[/C]99.7800[/C]100.2000[/C]99.8000[/C]99.8000[/C]99.8000[/C]99.8000[/C]99.9000[/C]100.3000[/C][/ROW] [ROW]0.92[/C]100.6240[/C]103.0440[/C]103.0000[/C]103.0000[/C]100.8400[/C]100.3000[/C]104.0560[/C]103.0000[/C][/ROW] [ROW]0.94[/C]103.3740[/C]105.2480[/C]104.1000[/C]104.1000[/C]103.4400[/C]103.0000[/C]107.0520[/C]104.1000[/C][/ROW] [ROW]0.96[/C]106.3960[/C]108.7200[/C]108.2000[/C]108.2000[/C]106.5600[/C]108.2000[/C]108.6800[/C]109.2000[/C][/ROW] [ROW]0.98[/C]108.9800[/C]109.5800[/C]109.2000[/C]109.2000[/C]109.0000[/C]109.2000[/C]109.3200[/C]109.7000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=1319&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1319&T=0

As an alternative you can also use a QR Code:  

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

Percentiles - Ungrouped Data
%Weighted 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)
0.0266.830066.860068.000068.000068.380066.500067.640066.5000
0.0468.836068.912069.900069.900070.140068.000068.988068.0000
0.0670.296070.332070.500070.500070.920070.500070.068070.5000
0.0871.116071.172071.200071.200071.760071.200070.528071.2000
0.1071.950072.000072.400072.400072.400071.900072.300071.9000
0.1272.624072.708073.100073.100073.200072.400072.792072.4000
0.1473.370073.440073.600073.600073.960073.600073.260073.6000
0.1674.284074.428074.500074.500074.860074.500073.672074.5000
0.1875.088075.100075.100075.100075.100075.100075.100075.1000
0.2075.300075.500076.100076.100076.100075.100075.700075.1000
0.2277.234077.828078.800078.800079.060076.100077.072078.8000
0.2479.632079.944080.100080.100080.300080.100078.956080.1000
0.2680.530080.612080.600080.600080.660080.600080.688080.6000
0.2880.708080.736080.800080.800080.780080.700080.764080.7000
0.3080.980081.160081.400081.400081.400080.800081.040081.4000
0.3281.452081.484081.500081.500081.620081.500081.416081.5000
0.3481.944082.132082.100082.100082.260082.100082.468082.1000
0.3682.484082.692082.500082.500082.860082.500082.908082.5000
0.3883.298083.716084.200084.200083.980083.100083.584084.2000
0.4084.200084.200084.200084.200084.200084.200084.200084.2000
0.4284.324084.436084.400084.400084.580084.400085.264084.4000
0.4485.156085.608085.300085.300085.740085.300086.092085.3000
0.4686.400086.400086.400086.400086.400086.400086.400086.4000
0.4886.400086.400086.400086.400086.400086.400086.400086.4000
0.5086.850087.300087.300087.300087.300087.300087.300087.3000
0.5287.660087.848087.800087.800087.840087.800087.952087.8000
0.5487.988088.000088.000088.000088.000088.000088.000088.0000
0.5688.096088.432088.600088.600088.360088.000088.168088.6000
0.5888.942089.464089.500089.500089.320088.600088.636089.5000
0.6089.800090.000090.000090.000090.000090.000090.000090.0000
0.6290.000090.308090.000090.000090.140090.000090.392090.0000
0.6490.712090.904091.000091.000090.820090.700090.796091.0000
0.6691.026091.092091.100091.100091.060091.000091.008091.1000
0.6891.532092.064092.000092.000091.820091.100092.336092.0000
0.7092.280092.800092.400092.400092.400092.400093.000092.4000
0.7293.320093.848093.400093.400093.540093.400093.652094.1000
0.7494.100094.100094.100094.100094.100094.100094.100094.1000
0.7694.172094.300094.300094.300094.220094.100094.300094.3000
0.7894.300094.516094.300094.300094.300094.300094.684094.3000
0.8094.780095.800094.900094.900094.900094.900095.500096.4000
0.8296.400096.400096.400096.400096.400096.400096.400096.4000
0.8496.592097.288097.200097.200096.720096.400098.212097.2000
0.8697.706098.716098.300098.300097.860097.200099.184098.3000
0.8899.184099.712099.600099.600099.340099.600099.688099.8000
0.9099.7800100.200099.800099.800099.800099.800099.9000100.3000
0.92100.6240103.0440103.0000103.0000100.8400100.3000104.0560103.0000
0.94103.3740105.2480104.1000104.1000103.4400103.0000107.0520104.1000
0.96106.3960108.7200108.2000108.2000106.5600108.2000108.6800109.2000
0.98108.9800109.5800109.2000109.2000109.0000109.2000109.3200109.7000



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):