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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationMon, 19 Oct 2009 11:49:15 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/19/t1255974742p595zclevjbie5t.htm/, Retrieved Thu, 31 Oct 2024 23:02:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=48003, Retrieved Thu, 31 Oct 2024 23:02:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact156

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
F RMPD    [Univariate Data Series] [] [2009-10-14 08:30:28] [74be16979710d4c4e7c6647856088456]
- RMP         [Percentiles] [WS3Part1.3] [2009-10-19 17:49:15] [dd4f17965cad1d38de7a1c062d32d75d] [Current]
- RMP           [Harrell-Davis Quantiles] [WS3P1.3] [2009-10-19 18:20:23] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87.28
87.28
87.09
86.92
87.59
90.72
90.69
90.3
89.55
88.94
88.41
87.82
87.07
86.82
86.4
86.02
85.66
85.32
85
84.67
83.94
82.83
81.95
81.19
80.48
78.86
69.47
68.77
70.06
73.95
75.8
77.79
81.57
83.07
84.34
85.1
85.25
84.26
83.63
86.44
85.3
84.1
83.36
82.48
81.58
80.47
79.34
82.13
81.69
80.7
79.88
79.16
78.38
77.42
76.47
75.46
74.48
78.27
80.7
79.91
78.75
77.78
81.14
81.08
80.03
78.91
78.01
76.9
75.97
81.93
80.27
78.67
77.42
76.16
74.7
76.39
76.04
74.65
73.29
71.79
74.39
74.91
74.54
73.08
72.75
71.32
70.38
70.35
70.01
69.36
67.77
69.26
69.8
68.38
67.62
68.39
66.95
65.21
66.64
63.45
60.66
62.34
60.32
58.64
60.46
58.59
61.87
61.85
67.44
77.06
91.74
93.15
94.15
93.11
91.51
89.96
88.16
86.98
88.03
86.24
84.65
83.23
81.7
80.25
78.8
77.51
76.2
75.04
74
75.49
77.14
76.15
76.27
78.19
76.49
77.31
76.65
74.99
73.51
72.07
70.59
71.96
76.29
74.86
74.93
71.9
71.01
77.47
75.78
76.6
76.07
74.57
73.02
72.65
73.16
71.53
69.78
67.98
69.96
72.16
70.47
68.86
67.37
65.87
72.16
71.34
69.93
68.44
67.16
66.01
67.25
70.91
69.75
68.59
67.48
66.31
64.81
66.58
65.97
64.7
64.7
60.94
59.08
58.42
57.77
57.11
53.31
49.96
49.4
48.84
48.3
47.74
47.24
46.76
46.29
48.9
49.23
48.53
48.03
54.34
53.79
53.24
52.96
52.17
51.7
58.55
78.2
77.03
76.19
77.15
75.87
95.47
109.67
112.28
112.01
107.93
105.96
105.06
102.98
102.2
105.23
101.85
99.89
96.23
94.76
91.51
91.63
91.54
85.23
87.83
87.38
84.44
85.19
84.03
86.73
102.52
104.45
106.98
107.02
99.26
94.45
113.44
157.33
147.38
171.89
171.95
132.71
126.02
121.18
115.45
110.48
117.85
117.63
124.65
109.59
111.27
99.78
98.21
99.2
97.97
89.55
87.91
93.34
94.42
93.2
90.29
91.46
89.98
88.35
88.41
82.44
79.89
75.69
75.66
84.5
96.73
87.48
82.39
83.48
79.31
78.16
72.77
72.45
68.46
67.62
68.76
70.07
68.55
65.3
58.96
59.17
62.37
66.28
55.62
55.23
55.85
56.75
50.89
53.88
52.95
55.08
53.61
58.78
61.85
55.91
53.32
46.41
44.57
50
50
53.36
46.23
50.45
49.07
45.85
48.45
49.96
46.53
50.51
47.58
48.05
46.84
47.67
49.16
55.54
55.82
58.22
56.19
57.77
63.19
54.76
55.74
62.54
61.39
69.6
79.23
80
93.68
107.63
100.18
97.3
90.45
80.64
80.58
75.82
85.59
89.35
89.42
104.73
95.32
89.27
90.44
86.97
79.98
81.22
87.35
83.64
82.22
94.4
102.18

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=48003&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=48003&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48003&T=0

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


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.0146.26646.266646.2946.2946.360846.2946.253446.29
0.0246.77646.777646.8446.8446.91246.7646.822446.76
0.0347.65247.654747.6747.6747.723947.6747.595347.67
0.0448.1548.1648.348.348.35448.0548.1948.05
0.0548.8448.84348.8448.8748.89748.8448.89748.84
0.0649.20249.206249.2349.2349.321849.2349.183849.23
0.0749.96849.970850505049.9649.989249.96
0.0850.49850.502850.5150.5150.783650.5150.457250.51
0.0952.48252.552252.9552.9552.953152.1752.567852.17
0.153.3153.31153.3153.31553.31953.3153.31953.31
0.1153.71853.737853.7953.7953.834153.7953.662253.79
0.1254.82454.862455.0855.0855.09254.7654.977654.76
0.1355.60455.614455.6255.6255.700455.6255.545655.62
0.1455.87455.882455.9155.9155.982855.8555.877655.91
0.1557.1157.20957.1157.4457.67157.1157.67157.11
0.1658.3458.37258.4258.4258.477258.4258.26858.42
0.1758.66858.691858.7858.7858.785458.6458.728258.64
0.1859.15259.168259.1759.1759.88359.1759.081859.17
0.1960.77260.825260.9460.9461.034560.6660.774860.94
0.261.8561.85461.8561.8661.86661.8561.86661.85
0.2162.47262.507762.5462.5462.793562.5462.402362.54
0.2264.764.764.764.764.764.764.764.7
0.2365.28265.317165.365.365.624965.365.852965.3
0.2466.11866.182866.2866.2866.284866.0166.107266.28
0.2566.6466.717566.6466.79566.872566.6466.872566.64
0.2667.32267.353267.3767.3767.393867.3767.266867.37
0.2767.6267.6267.6267.6267.6267.6267.6267.62
0.2868.368.380868.3868.3868.385268.3868.389268.38
0.2968.49668.522168.5568.5568.554468.4668.487968.55
0.368.7768.79768.7768.81568.83368.7768.83368.77
0.3169.42669.460169.4769.4769.507769.4769.369969.47
0.3269.78469.790469.869.869.797669.7869.789669.8
0.337070.016570.0170.0170.033570.0170.053570.01
0.3470.36270.372270.3870.3870.385470.3570.357870.38
0.3570.9170.94570.9170.9170.97570.9170.97570.91
0.3671.45471.522471.5371.5371.592471.5371.347671.53
0.3771.98272.022772.0772.0772.051371.9672.007372.07
0.3872.39272.48672.4572.4572.53472.4572.61472.45
0.3972.8772.967573.0273.0273.020672.7772.822573.02
0.473.2973.37873.2973.473.42273.2973.42273.29
0.4174.23474.390974.3974.3974.407174.3974.479174.39
0.4274.58674.619674.6574.6574.632474.5774.600474.65
0.4374.974.914674.9174.9174.917474.9174.925474.91
0.4475.20875.392875.4675.4675.443275.0475.107275.46
0.4575.6975.730575.6975.73575.739575.6975.739575.69
0.4675.8575.87675.8775.8775.88475.8775.96475.87
0.4776.08676.123676.1576.1576.128476.0776.096476.15
0.4876.19876.219676.276.276.222476.276.250476.2
0.4976.42276.461276.4776.4776.462876.3976.398876.47
0.576.6576.77576.6576.77576.77576.6576.77576.775
0.5177.10877.141177.1477.1477.140977.1477.148977.14
0.5277.4277.4277.4277.4277.4277.4277.4277.42
0.5377.72677.783377.7877.7877.782777.7877.786777.78
0.5478.17278.188278.1978.1978.185878.1678.161878.19
0.5578.3878.539578.6778.6778.510578.3878.510578.67
0.5678.83678.86878.8678.8678.86278.8678.90278.86
0.5779.24679.291679.3179.3179.280479.2379.248479.31
0.5879.88879.897679.8979.8979.894479.8979.902479.89
0.5980.01280.029780.0380.0380.02438080.000380.03
0.680.4780.47680.4780.47580.47480.4780.47480.48
0.6180.67680.780.780.780.699480.780.780.7
0.6281.1581.18181.1981.1981.16981.1481.14981.19
0.6381.57881.627381.5881.5881.598781.5881.642781.58
0.6481.93881.957281.9581.9581.945281.9382.122881.95
0.6582.3982.422582.3982.41582.407582.3982.407582.44
0.6682.97483.111683.0783.0783.055683.0783.188483.07
0.6783.5183.610583.6383.6383.559583.4883.499583.63
0.6884.01284.063684.0384.0384.038484.0384.066484.03
0.6984.3884.445484.4484.4484.41184.3484.494684.44
0.784.6784.90184.6784.6784.76984.6784.76985
0.7185.21485.236285.2385.2385.225685.2385.243885.23
0.7285.37485.568485.5985.5985.449685.3285.341685.59
0.7386.19686.324886.2486.2486.251286.2486.315286.4
0.7486.76686.83486.8286.8286.789486.7386.90686.82
0.7586.9887.047586.9887.02587.002586.9887.002587.07
0.7687.2887.305287.2887.2887.2887.2887.324887.28
0.7787.50287.586787.5987.5987.527387.4887.483387.59
0.7887.89487.979687.9187.9187.912487.9187.960488.03
0.7988.37488.4188.4188.4188.386688.3588.4188.41
0.889.2789.33489.2789.3189.28689.2789.28689.35
0.8189.5589.718189.5589.5589.5589.5589.791989.55
0.8290.29290.302890.390.390.293890.2990.437290.3
0.8390.64290.708990.6990.6990.682890.6990.701190.72
0.8491.5191.517291.5191.5191.5191.5191.532891.51
0.8591.7492.904591.7492.42591.945591.7491.945593.11
0.8693.28493.496493.3493.3493.303693.3493.523693.34
0.8794.40494.422194.4294.4294.406694.494.447994.42
0.8895.20895.42295.3295.3295.275295.3295.36895.47
0.8996.95897.494397.397.397.020796.7397.775797.3
0.999.299.25499.299.2399.20699.299.20699.26
0.91100.064101.0317100.18100.18100.0901100.18100.9983101.85
0.92102.264102.5752102.52102.52102.2896102.2102.9248102.52
0.93104.674104.9709104.73104.73104.6936104.73104.8191105.06
0.94106.368106.9936106.98106.98106.4292105.96107.0064106.98
0.95107.93109.507107.93108.76108.013107.93108.013109.59
0.96110.954111.6844111.27111.27110.9856111.27111.5956112.01
0.97113.842115.8206115.45115.45113.9023113.44117.2594115.45
0.98120.514123.8866121.18121.18120.5806121.18121.9434124.65
0.99138.578151.2605147.38147.38138.7247132.71153.4495147.38

\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 & 46.266 & 46.2666 & 46.29 & 46.29 & 46.3608 & 46.29 & 46.2534 & 46.29 \tabularnewline
0.02 & 46.776 & 46.7776 & 46.84 & 46.84 & 46.912 & 46.76 & 46.8224 & 46.76 \tabularnewline
0.03 & 47.652 & 47.6547 & 47.67 & 47.67 & 47.7239 & 47.67 & 47.5953 & 47.67 \tabularnewline
0.04 & 48.15 & 48.16 & 48.3 & 48.3 & 48.354 & 48.05 & 48.19 & 48.05 \tabularnewline
0.05 & 48.84 & 48.843 & 48.84 & 48.87 & 48.897 & 48.84 & 48.897 & 48.84 \tabularnewline
0.06 & 49.202 & 49.2062 & 49.23 & 49.23 & 49.3218 & 49.23 & 49.1838 & 49.23 \tabularnewline
0.07 & 49.968 & 49.9708 & 50 & 50 & 50 & 49.96 & 49.9892 & 49.96 \tabularnewline
0.08 & 50.498 & 50.5028 & 50.51 & 50.51 & 50.7836 & 50.51 & 50.4572 & 50.51 \tabularnewline
0.09 & 52.482 & 52.5522 & 52.95 & 52.95 & 52.9531 & 52.17 & 52.5678 & 52.17 \tabularnewline
0.1 & 53.31 & 53.311 & 53.31 & 53.315 & 53.319 & 53.31 & 53.319 & 53.31 \tabularnewline
0.11 & 53.718 & 53.7378 & 53.79 & 53.79 & 53.8341 & 53.79 & 53.6622 & 53.79 \tabularnewline
0.12 & 54.824 & 54.8624 & 55.08 & 55.08 & 55.092 & 54.76 & 54.9776 & 54.76 \tabularnewline
0.13 & 55.604 & 55.6144 & 55.62 & 55.62 & 55.7004 & 55.62 & 55.5456 & 55.62 \tabularnewline
0.14 & 55.874 & 55.8824 & 55.91 & 55.91 & 55.9828 & 55.85 & 55.8776 & 55.91 \tabularnewline
0.15 & 57.11 & 57.209 & 57.11 & 57.44 & 57.671 & 57.11 & 57.671 & 57.11 \tabularnewline
0.16 & 58.34 & 58.372 & 58.42 & 58.42 & 58.4772 & 58.42 & 58.268 & 58.42 \tabularnewline
0.17 & 58.668 & 58.6918 & 58.78 & 58.78 & 58.7854 & 58.64 & 58.7282 & 58.64 \tabularnewline
0.18 & 59.152 & 59.1682 & 59.17 & 59.17 & 59.883 & 59.17 & 59.0818 & 59.17 \tabularnewline
0.19 & 60.772 & 60.8252 & 60.94 & 60.94 & 61.0345 & 60.66 & 60.7748 & 60.94 \tabularnewline
0.2 & 61.85 & 61.854 & 61.85 & 61.86 & 61.866 & 61.85 & 61.866 & 61.85 \tabularnewline
0.21 & 62.472 & 62.5077 & 62.54 & 62.54 & 62.7935 & 62.54 & 62.4023 & 62.54 \tabularnewline
0.22 & 64.7 & 64.7 & 64.7 & 64.7 & 64.7 & 64.7 & 64.7 & 64.7 \tabularnewline
0.23 & 65.282 & 65.3171 & 65.3 & 65.3 & 65.6249 & 65.3 & 65.8529 & 65.3 \tabularnewline
0.24 & 66.118 & 66.1828 & 66.28 & 66.28 & 66.2848 & 66.01 & 66.1072 & 66.28 \tabularnewline
0.25 & 66.64 & 66.7175 & 66.64 & 66.795 & 66.8725 & 66.64 & 66.8725 & 66.64 \tabularnewline
0.26 & 67.322 & 67.3532 & 67.37 & 67.37 & 67.3938 & 67.37 & 67.2668 & 67.37 \tabularnewline
0.27 & 67.62 & 67.62 & 67.62 & 67.62 & 67.62 & 67.62 & 67.62 & 67.62 \tabularnewline
0.28 & 68.3 & 68.3808 & 68.38 & 68.38 & 68.3852 & 68.38 & 68.3892 & 68.38 \tabularnewline
0.29 & 68.496 & 68.5221 & 68.55 & 68.55 & 68.5544 & 68.46 & 68.4879 & 68.55 \tabularnewline
0.3 & 68.77 & 68.797 & 68.77 & 68.815 & 68.833 & 68.77 & 68.833 & 68.77 \tabularnewline
0.31 & 69.426 & 69.4601 & 69.47 & 69.47 & 69.5077 & 69.47 & 69.3699 & 69.47 \tabularnewline
0.32 & 69.784 & 69.7904 & 69.8 & 69.8 & 69.7976 & 69.78 & 69.7896 & 69.8 \tabularnewline
0.33 & 70 & 70.0165 & 70.01 & 70.01 & 70.0335 & 70.01 & 70.0535 & 70.01 \tabularnewline
0.34 & 70.362 & 70.3722 & 70.38 & 70.38 & 70.3854 & 70.35 & 70.3578 & 70.38 \tabularnewline
0.35 & 70.91 & 70.945 & 70.91 & 70.91 & 70.975 & 70.91 & 70.975 & 70.91 \tabularnewline
0.36 & 71.454 & 71.5224 & 71.53 & 71.53 & 71.5924 & 71.53 & 71.3476 & 71.53 \tabularnewline
0.37 & 71.982 & 72.0227 & 72.07 & 72.07 & 72.0513 & 71.96 & 72.0073 & 72.07 \tabularnewline
0.38 & 72.392 & 72.486 & 72.45 & 72.45 & 72.534 & 72.45 & 72.614 & 72.45 \tabularnewline
0.39 & 72.87 & 72.9675 & 73.02 & 73.02 & 73.0206 & 72.77 & 72.8225 & 73.02 \tabularnewline
0.4 & 73.29 & 73.378 & 73.29 & 73.4 & 73.422 & 73.29 & 73.422 & 73.29 \tabularnewline
0.41 & 74.234 & 74.3909 & 74.39 & 74.39 & 74.4071 & 74.39 & 74.4791 & 74.39 \tabularnewline
0.42 & 74.586 & 74.6196 & 74.65 & 74.65 & 74.6324 & 74.57 & 74.6004 & 74.65 \tabularnewline
0.43 & 74.9 & 74.9146 & 74.91 & 74.91 & 74.9174 & 74.91 & 74.9254 & 74.91 \tabularnewline
0.44 & 75.208 & 75.3928 & 75.46 & 75.46 & 75.4432 & 75.04 & 75.1072 & 75.46 \tabularnewline
0.45 & 75.69 & 75.7305 & 75.69 & 75.735 & 75.7395 & 75.69 & 75.7395 & 75.69 \tabularnewline
0.46 & 75.85 & 75.876 & 75.87 & 75.87 & 75.884 & 75.87 & 75.964 & 75.87 \tabularnewline
0.47 & 76.086 & 76.1236 & 76.15 & 76.15 & 76.1284 & 76.07 & 76.0964 & 76.15 \tabularnewline
0.48 & 76.198 & 76.2196 & 76.2 & 76.2 & 76.2224 & 76.2 & 76.2504 & 76.2 \tabularnewline
0.49 & 76.422 & 76.4612 & 76.47 & 76.47 & 76.4628 & 76.39 & 76.3988 & 76.47 \tabularnewline
0.5 & 76.65 & 76.775 & 76.65 & 76.775 & 76.775 & 76.65 & 76.775 & 76.775 \tabularnewline
0.51 & 77.108 & 77.1411 & 77.14 & 77.14 & 77.1409 & 77.14 & 77.1489 & 77.14 \tabularnewline
0.52 & 77.42 & 77.42 & 77.42 & 77.42 & 77.42 & 77.42 & 77.42 & 77.42 \tabularnewline
0.53 & 77.726 & 77.7833 & 77.78 & 77.78 & 77.7827 & 77.78 & 77.7867 & 77.78 \tabularnewline
0.54 & 78.172 & 78.1882 & 78.19 & 78.19 & 78.1858 & 78.16 & 78.1618 & 78.19 \tabularnewline
0.55 & 78.38 & 78.5395 & 78.67 & 78.67 & 78.5105 & 78.38 & 78.5105 & 78.67 \tabularnewline
0.56 & 78.836 & 78.868 & 78.86 & 78.86 & 78.862 & 78.86 & 78.902 & 78.86 \tabularnewline
0.57 & 79.246 & 79.2916 & 79.31 & 79.31 & 79.2804 & 79.23 & 79.2484 & 79.31 \tabularnewline
0.58 & 79.888 & 79.8976 & 79.89 & 79.89 & 79.8944 & 79.89 & 79.9024 & 79.89 \tabularnewline
0.59 & 80.012 & 80.0297 & 80.03 & 80.03 & 80.0243 & 80 & 80.0003 & 80.03 \tabularnewline
0.6 & 80.47 & 80.476 & 80.47 & 80.475 & 80.474 & 80.47 & 80.474 & 80.48 \tabularnewline
0.61 & 80.676 & 80.7 & 80.7 & 80.7 & 80.6994 & 80.7 & 80.7 & 80.7 \tabularnewline
0.62 & 81.15 & 81.181 & 81.19 & 81.19 & 81.169 & 81.14 & 81.149 & 81.19 \tabularnewline
0.63 & 81.578 & 81.6273 & 81.58 & 81.58 & 81.5987 & 81.58 & 81.6427 & 81.58 \tabularnewline
0.64 & 81.938 & 81.9572 & 81.95 & 81.95 & 81.9452 & 81.93 & 82.1228 & 81.95 \tabularnewline
0.65 & 82.39 & 82.4225 & 82.39 & 82.415 & 82.4075 & 82.39 & 82.4075 & 82.44 \tabularnewline
0.66 & 82.974 & 83.1116 & 83.07 & 83.07 & 83.0556 & 83.07 & 83.1884 & 83.07 \tabularnewline
0.67 & 83.51 & 83.6105 & 83.63 & 83.63 & 83.5595 & 83.48 & 83.4995 & 83.63 \tabularnewline
0.68 & 84.012 & 84.0636 & 84.03 & 84.03 & 84.0384 & 84.03 & 84.0664 & 84.03 \tabularnewline
0.69 & 84.38 & 84.4454 & 84.44 & 84.44 & 84.411 & 84.34 & 84.4946 & 84.44 \tabularnewline
0.7 & 84.67 & 84.901 & 84.67 & 84.67 & 84.769 & 84.67 & 84.769 & 85 \tabularnewline
0.71 & 85.214 & 85.2362 & 85.23 & 85.23 & 85.2256 & 85.23 & 85.2438 & 85.23 \tabularnewline
0.72 & 85.374 & 85.5684 & 85.59 & 85.59 & 85.4496 & 85.32 & 85.3416 & 85.59 \tabularnewline
0.73 & 86.196 & 86.3248 & 86.24 & 86.24 & 86.2512 & 86.24 & 86.3152 & 86.4 \tabularnewline
0.74 & 86.766 & 86.834 & 86.82 & 86.82 & 86.7894 & 86.73 & 86.906 & 86.82 \tabularnewline
0.75 & 86.98 & 87.0475 & 86.98 & 87.025 & 87.0025 & 86.98 & 87.0025 & 87.07 \tabularnewline
0.76 & 87.28 & 87.3052 & 87.28 & 87.28 & 87.28 & 87.28 & 87.3248 & 87.28 \tabularnewline
0.77 & 87.502 & 87.5867 & 87.59 & 87.59 & 87.5273 & 87.48 & 87.4833 & 87.59 \tabularnewline
0.78 & 87.894 & 87.9796 & 87.91 & 87.91 & 87.9124 & 87.91 & 87.9604 & 88.03 \tabularnewline
0.79 & 88.374 & 88.41 & 88.41 & 88.41 & 88.3866 & 88.35 & 88.41 & 88.41 \tabularnewline
0.8 & 89.27 & 89.334 & 89.27 & 89.31 & 89.286 & 89.27 & 89.286 & 89.35 \tabularnewline
0.81 & 89.55 & 89.7181 & 89.55 & 89.55 & 89.55 & 89.55 & 89.7919 & 89.55 \tabularnewline
0.82 & 90.292 & 90.3028 & 90.3 & 90.3 & 90.2938 & 90.29 & 90.4372 & 90.3 \tabularnewline
0.83 & 90.642 & 90.7089 & 90.69 & 90.69 & 90.6828 & 90.69 & 90.7011 & 90.72 \tabularnewline
0.84 & 91.51 & 91.5172 & 91.51 & 91.51 & 91.51 & 91.51 & 91.5328 & 91.51 \tabularnewline
0.85 & 91.74 & 92.9045 & 91.74 & 92.425 & 91.9455 & 91.74 & 91.9455 & 93.11 \tabularnewline
0.86 & 93.284 & 93.4964 & 93.34 & 93.34 & 93.3036 & 93.34 & 93.5236 & 93.34 \tabularnewline
0.87 & 94.404 & 94.4221 & 94.42 & 94.42 & 94.4066 & 94.4 & 94.4479 & 94.42 \tabularnewline
0.88 & 95.208 & 95.422 & 95.32 & 95.32 & 95.2752 & 95.32 & 95.368 & 95.47 \tabularnewline
0.89 & 96.958 & 97.4943 & 97.3 & 97.3 & 97.0207 & 96.73 & 97.7757 & 97.3 \tabularnewline
0.9 & 99.2 & 99.254 & 99.2 & 99.23 & 99.206 & 99.2 & 99.206 & 99.26 \tabularnewline
0.91 & 100.064 & 101.0317 & 100.18 & 100.18 & 100.0901 & 100.18 & 100.9983 & 101.85 \tabularnewline
0.92 & 102.264 & 102.5752 & 102.52 & 102.52 & 102.2896 & 102.2 & 102.9248 & 102.52 \tabularnewline
0.93 & 104.674 & 104.9709 & 104.73 & 104.73 & 104.6936 & 104.73 & 104.8191 & 105.06 \tabularnewline
0.94 & 106.368 & 106.9936 & 106.98 & 106.98 & 106.4292 & 105.96 & 107.0064 & 106.98 \tabularnewline
0.95 & 107.93 & 109.507 & 107.93 & 108.76 & 108.013 & 107.93 & 108.013 & 109.59 \tabularnewline
0.96 & 110.954 & 111.6844 & 111.27 & 111.27 & 110.9856 & 111.27 & 111.5956 & 112.01 \tabularnewline
0.97 & 113.842 & 115.8206 & 115.45 & 115.45 & 113.9023 & 113.44 & 117.2594 & 115.45 \tabularnewline
0.98 & 120.514 & 123.8866 & 121.18 & 121.18 & 120.5806 & 121.18 & 121.9434 & 124.65 \tabularnewline
0.99 & 138.578 & 151.2605 & 147.38 & 147.38 & 138.7247 & 132.71 & 153.4495 & 147.38 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=48003&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]46.266[/C][C]46.2666[/C][C]46.29[/C][C]46.29[/C][C]46.3608[/C][C]46.29[/C][C]46.2534[/C][C]46.29[/C][/ROW]
[ROW][C]0.02[/C][C]46.776[/C][C]46.7776[/C][C]46.84[/C][C]46.84[/C][C]46.912[/C][C]46.76[/C][C]46.8224[/C][C]46.76[/C][/ROW]
[ROW][C]0.03[/C][C]47.652[/C][C]47.6547[/C][C]47.67[/C][C]47.67[/C][C]47.7239[/C][C]47.67[/C][C]47.5953[/C][C]47.67[/C][/ROW]
[ROW][C]0.04[/C][C]48.15[/C][C]48.16[/C][C]48.3[/C][C]48.3[/C][C]48.354[/C][C]48.05[/C][C]48.19[/C][C]48.05[/C][/ROW]
[ROW][C]0.05[/C][C]48.84[/C][C]48.843[/C][C]48.84[/C][C]48.87[/C][C]48.897[/C][C]48.84[/C][C]48.897[/C][C]48.84[/C][/ROW]
[ROW][C]0.06[/C][C]49.202[/C][C]49.2062[/C][C]49.23[/C][C]49.23[/C][C]49.3218[/C][C]49.23[/C][C]49.1838[/C][C]49.23[/C][/ROW]
[ROW][C]0.07[/C][C]49.968[/C][C]49.9708[/C][C]50[/C][C]50[/C][C]50[/C][C]49.96[/C][C]49.9892[/C][C]49.96[/C][/ROW]
[ROW][C]0.08[/C][C]50.498[/C][C]50.5028[/C][C]50.51[/C][C]50.51[/C][C]50.7836[/C][C]50.51[/C][C]50.4572[/C][C]50.51[/C][/ROW]
[ROW][C]0.09[/C][C]52.482[/C][C]52.5522[/C][C]52.95[/C][C]52.95[/C][C]52.9531[/C][C]52.17[/C][C]52.5678[/C][C]52.17[/C][/ROW]
[ROW][C]0.1[/C][C]53.31[/C][C]53.311[/C][C]53.31[/C][C]53.315[/C][C]53.319[/C][C]53.31[/C][C]53.319[/C][C]53.31[/C][/ROW]
[ROW][C]0.11[/C][C]53.718[/C][C]53.7378[/C][C]53.79[/C][C]53.79[/C][C]53.8341[/C][C]53.79[/C][C]53.6622[/C][C]53.79[/C][/ROW]
[ROW][C]0.12[/C][C]54.824[/C][C]54.8624[/C][C]55.08[/C][C]55.08[/C][C]55.092[/C][C]54.76[/C][C]54.9776[/C][C]54.76[/C][/ROW]
[ROW][C]0.13[/C][C]55.604[/C][C]55.6144[/C][C]55.62[/C][C]55.62[/C][C]55.7004[/C][C]55.62[/C][C]55.5456[/C][C]55.62[/C][/ROW]
[ROW][C]0.14[/C][C]55.874[/C][C]55.8824[/C][C]55.91[/C][C]55.91[/C][C]55.9828[/C][C]55.85[/C][C]55.8776[/C][C]55.91[/C][/ROW]
[ROW][C]0.15[/C][C]57.11[/C][C]57.209[/C][C]57.11[/C][C]57.44[/C][C]57.671[/C][C]57.11[/C][C]57.671[/C][C]57.11[/C][/ROW]
[ROW][C]0.16[/C][C]58.34[/C][C]58.372[/C][C]58.42[/C][C]58.42[/C][C]58.4772[/C][C]58.42[/C][C]58.268[/C][C]58.42[/C][/ROW]
[ROW][C]0.17[/C][C]58.668[/C][C]58.6918[/C][C]58.78[/C][C]58.78[/C][C]58.7854[/C][C]58.64[/C][C]58.7282[/C][C]58.64[/C][/ROW]
[ROW][C]0.18[/C][C]59.152[/C][C]59.1682[/C][C]59.17[/C][C]59.17[/C][C]59.883[/C][C]59.17[/C][C]59.0818[/C][C]59.17[/C][/ROW]
[ROW][C]0.19[/C][C]60.772[/C][C]60.8252[/C][C]60.94[/C][C]60.94[/C][C]61.0345[/C][C]60.66[/C][C]60.7748[/C][C]60.94[/C][/ROW]
[ROW][C]0.2[/C][C]61.85[/C][C]61.854[/C][C]61.85[/C][C]61.86[/C][C]61.866[/C][C]61.85[/C][C]61.866[/C][C]61.85[/C][/ROW]
[ROW][C]0.21[/C][C]62.472[/C][C]62.5077[/C][C]62.54[/C][C]62.54[/C][C]62.7935[/C][C]62.54[/C][C]62.4023[/C][C]62.54[/C][/ROW]
[ROW][C]0.22[/C][C]64.7[/C][C]64.7[/C][C]64.7[/C][C]64.7[/C][C]64.7[/C][C]64.7[/C][C]64.7[/C][C]64.7[/C][/ROW]
[ROW][C]0.23[/C][C]65.282[/C][C]65.3171[/C][C]65.3[/C][C]65.3[/C][C]65.6249[/C][C]65.3[/C][C]65.8529[/C][C]65.3[/C][/ROW]
[ROW][C]0.24[/C][C]66.118[/C][C]66.1828[/C][C]66.28[/C][C]66.28[/C][C]66.2848[/C][C]66.01[/C][C]66.1072[/C][C]66.28[/C][/ROW]
[ROW][C]0.25[/C][C]66.64[/C][C]66.7175[/C][C]66.64[/C][C]66.795[/C][C]66.8725[/C][C]66.64[/C][C]66.8725[/C][C]66.64[/C][/ROW]
[ROW][C]0.26[/C][C]67.322[/C][C]67.3532[/C][C]67.37[/C][C]67.37[/C][C]67.3938[/C][C]67.37[/C][C]67.2668[/C][C]67.37[/C][/ROW]
[ROW][C]0.27[/C][C]67.62[/C][C]67.62[/C][C]67.62[/C][C]67.62[/C][C]67.62[/C][C]67.62[/C][C]67.62[/C][C]67.62[/C][/ROW]
[ROW][C]0.28[/C][C]68.3[/C][C]68.3808[/C][C]68.38[/C][C]68.38[/C][C]68.3852[/C][C]68.38[/C][C]68.3892[/C][C]68.38[/C][/ROW]
[ROW][C]0.29[/C][C]68.496[/C][C]68.5221[/C][C]68.55[/C][C]68.55[/C][C]68.5544[/C][C]68.46[/C][C]68.4879[/C][C]68.55[/C][/ROW]
[ROW][C]0.3[/C][C]68.77[/C][C]68.797[/C][C]68.77[/C][C]68.815[/C][C]68.833[/C][C]68.77[/C][C]68.833[/C][C]68.77[/C][/ROW]
[ROW][C]0.31[/C][C]69.426[/C][C]69.4601[/C][C]69.47[/C][C]69.47[/C][C]69.5077[/C][C]69.47[/C][C]69.3699[/C][C]69.47[/C][/ROW]
[ROW][C]0.32[/C][C]69.784[/C][C]69.7904[/C][C]69.8[/C][C]69.8[/C][C]69.7976[/C][C]69.78[/C][C]69.7896[/C][C]69.8[/C][/ROW]
[ROW][C]0.33[/C][C]70[/C][C]70.0165[/C][C]70.01[/C][C]70.01[/C][C]70.0335[/C][C]70.01[/C][C]70.0535[/C][C]70.01[/C][/ROW]
[ROW][C]0.34[/C][C]70.362[/C][C]70.3722[/C][C]70.38[/C][C]70.38[/C][C]70.3854[/C][C]70.35[/C][C]70.3578[/C][C]70.38[/C][/ROW]
[ROW][C]0.35[/C][C]70.91[/C][C]70.945[/C][C]70.91[/C][C]70.91[/C][C]70.975[/C][C]70.91[/C][C]70.975[/C][C]70.91[/C][/ROW]
[ROW][C]0.36[/C][C]71.454[/C][C]71.5224[/C][C]71.53[/C][C]71.53[/C][C]71.5924[/C][C]71.53[/C][C]71.3476[/C][C]71.53[/C][/ROW]
[ROW][C]0.37[/C][C]71.982[/C][C]72.0227[/C][C]72.07[/C][C]72.07[/C][C]72.0513[/C][C]71.96[/C][C]72.0073[/C][C]72.07[/C][/ROW]
[ROW][C]0.38[/C][C]72.392[/C][C]72.486[/C][C]72.45[/C][C]72.45[/C][C]72.534[/C][C]72.45[/C][C]72.614[/C][C]72.45[/C][/ROW]
[ROW][C]0.39[/C][C]72.87[/C][C]72.9675[/C][C]73.02[/C][C]73.02[/C][C]73.0206[/C][C]72.77[/C][C]72.8225[/C][C]73.02[/C][/ROW]
[ROW][C]0.4[/C][C]73.29[/C][C]73.378[/C][C]73.29[/C][C]73.4[/C][C]73.422[/C][C]73.29[/C][C]73.422[/C][C]73.29[/C][/ROW]
[ROW][C]0.41[/C][C]74.234[/C][C]74.3909[/C][C]74.39[/C][C]74.39[/C][C]74.4071[/C][C]74.39[/C][C]74.4791[/C][C]74.39[/C][/ROW]
[ROW][C]0.42[/C][C]74.586[/C][C]74.6196[/C][C]74.65[/C][C]74.65[/C][C]74.6324[/C][C]74.57[/C][C]74.6004[/C][C]74.65[/C][/ROW]
[ROW][C]0.43[/C][C]74.9[/C][C]74.9146[/C][C]74.91[/C][C]74.91[/C][C]74.9174[/C][C]74.91[/C][C]74.9254[/C][C]74.91[/C][/ROW]
[ROW][C]0.44[/C][C]75.208[/C][C]75.3928[/C][C]75.46[/C][C]75.46[/C][C]75.4432[/C][C]75.04[/C][C]75.1072[/C][C]75.46[/C][/ROW]
[ROW][C]0.45[/C][C]75.69[/C][C]75.7305[/C][C]75.69[/C][C]75.735[/C][C]75.7395[/C][C]75.69[/C][C]75.7395[/C][C]75.69[/C][/ROW]
[ROW][C]0.46[/C][C]75.85[/C][C]75.876[/C][C]75.87[/C][C]75.87[/C][C]75.884[/C][C]75.87[/C][C]75.964[/C][C]75.87[/C][/ROW]
[ROW][C]0.47[/C][C]76.086[/C][C]76.1236[/C][C]76.15[/C][C]76.15[/C][C]76.1284[/C][C]76.07[/C][C]76.0964[/C][C]76.15[/C][/ROW]
[ROW][C]0.48[/C][C]76.198[/C][C]76.2196[/C][C]76.2[/C][C]76.2[/C][C]76.2224[/C][C]76.2[/C][C]76.2504[/C][C]76.2[/C][/ROW]
[ROW][C]0.49[/C][C]76.422[/C][C]76.4612[/C][C]76.47[/C][C]76.47[/C][C]76.4628[/C][C]76.39[/C][C]76.3988[/C][C]76.47[/C][/ROW]
[ROW][C]0.5[/C][C]76.65[/C][C]76.775[/C][C]76.65[/C][C]76.775[/C][C]76.775[/C][C]76.65[/C][C]76.775[/C][C]76.775[/C][/ROW]
[ROW][C]0.51[/C][C]77.108[/C][C]77.1411[/C][C]77.14[/C][C]77.14[/C][C]77.1409[/C][C]77.14[/C][C]77.1489[/C][C]77.14[/C][/ROW]
[ROW][C]0.52[/C][C]77.42[/C][C]77.42[/C][C]77.42[/C][C]77.42[/C][C]77.42[/C][C]77.42[/C][C]77.42[/C][C]77.42[/C][/ROW]
[ROW][C]0.53[/C][C]77.726[/C][C]77.7833[/C][C]77.78[/C][C]77.78[/C][C]77.7827[/C][C]77.78[/C][C]77.7867[/C][C]77.78[/C][/ROW]
[ROW][C]0.54[/C][C]78.172[/C][C]78.1882[/C][C]78.19[/C][C]78.19[/C][C]78.1858[/C][C]78.16[/C][C]78.1618[/C][C]78.19[/C][/ROW]
[ROW][C]0.55[/C][C]78.38[/C][C]78.5395[/C][C]78.67[/C][C]78.67[/C][C]78.5105[/C][C]78.38[/C][C]78.5105[/C][C]78.67[/C][/ROW]
[ROW][C]0.56[/C][C]78.836[/C][C]78.868[/C][C]78.86[/C][C]78.86[/C][C]78.862[/C][C]78.86[/C][C]78.902[/C][C]78.86[/C][/ROW]
[ROW][C]0.57[/C][C]79.246[/C][C]79.2916[/C][C]79.31[/C][C]79.31[/C][C]79.2804[/C][C]79.23[/C][C]79.2484[/C][C]79.31[/C][/ROW]
[ROW][C]0.58[/C][C]79.888[/C][C]79.8976[/C][C]79.89[/C][C]79.89[/C][C]79.8944[/C][C]79.89[/C][C]79.9024[/C][C]79.89[/C][/ROW]
[ROW][C]0.59[/C][C]80.012[/C][C]80.0297[/C][C]80.03[/C][C]80.03[/C][C]80.0243[/C][C]80[/C][C]80.0003[/C][C]80.03[/C][/ROW]
[ROW][C]0.6[/C][C]80.47[/C][C]80.476[/C][C]80.47[/C][C]80.475[/C][C]80.474[/C][C]80.47[/C][C]80.474[/C][C]80.48[/C][/ROW]
[ROW][C]0.61[/C][C]80.676[/C][C]80.7[/C][C]80.7[/C][C]80.7[/C][C]80.6994[/C][C]80.7[/C][C]80.7[/C][C]80.7[/C][/ROW]
[ROW][C]0.62[/C][C]81.15[/C][C]81.181[/C][C]81.19[/C][C]81.19[/C][C]81.169[/C][C]81.14[/C][C]81.149[/C][C]81.19[/C][/ROW]
[ROW][C]0.63[/C][C]81.578[/C][C]81.6273[/C][C]81.58[/C][C]81.58[/C][C]81.5987[/C][C]81.58[/C][C]81.6427[/C][C]81.58[/C][/ROW]
[ROW][C]0.64[/C][C]81.938[/C][C]81.9572[/C][C]81.95[/C][C]81.95[/C][C]81.9452[/C][C]81.93[/C][C]82.1228[/C][C]81.95[/C][/ROW]
[ROW][C]0.65[/C][C]82.39[/C][C]82.4225[/C][C]82.39[/C][C]82.415[/C][C]82.4075[/C][C]82.39[/C][C]82.4075[/C][C]82.44[/C][/ROW]
[ROW][C]0.66[/C][C]82.974[/C][C]83.1116[/C][C]83.07[/C][C]83.07[/C][C]83.0556[/C][C]83.07[/C][C]83.1884[/C][C]83.07[/C][/ROW]
[ROW][C]0.67[/C][C]83.51[/C][C]83.6105[/C][C]83.63[/C][C]83.63[/C][C]83.5595[/C][C]83.48[/C][C]83.4995[/C][C]83.63[/C][/ROW]
[ROW][C]0.68[/C][C]84.012[/C][C]84.0636[/C][C]84.03[/C][C]84.03[/C][C]84.0384[/C][C]84.03[/C][C]84.0664[/C][C]84.03[/C][/ROW]
[ROW][C]0.69[/C][C]84.38[/C][C]84.4454[/C][C]84.44[/C][C]84.44[/C][C]84.411[/C][C]84.34[/C][C]84.4946[/C][C]84.44[/C][/ROW]
[ROW][C]0.7[/C][C]84.67[/C][C]84.901[/C][C]84.67[/C][C]84.67[/C][C]84.769[/C][C]84.67[/C][C]84.769[/C][C]85[/C][/ROW]
[ROW][C]0.71[/C][C]85.214[/C][C]85.2362[/C][C]85.23[/C][C]85.23[/C][C]85.2256[/C][C]85.23[/C][C]85.2438[/C][C]85.23[/C][/ROW]
[ROW][C]0.72[/C][C]85.374[/C][C]85.5684[/C][C]85.59[/C][C]85.59[/C][C]85.4496[/C][C]85.32[/C][C]85.3416[/C][C]85.59[/C][/ROW]
[ROW][C]0.73[/C][C]86.196[/C][C]86.3248[/C][C]86.24[/C][C]86.24[/C][C]86.2512[/C][C]86.24[/C][C]86.3152[/C][C]86.4[/C][/ROW]
[ROW][C]0.74[/C][C]86.766[/C][C]86.834[/C][C]86.82[/C][C]86.82[/C][C]86.7894[/C][C]86.73[/C][C]86.906[/C][C]86.82[/C][/ROW]
[ROW][C]0.75[/C][C]86.98[/C][C]87.0475[/C][C]86.98[/C][C]87.025[/C][C]87.0025[/C][C]86.98[/C][C]87.0025[/C][C]87.07[/C][/ROW]
[ROW][C]0.76[/C][C]87.28[/C][C]87.3052[/C][C]87.28[/C][C]87.28[/C][C]87.28[/C][C]87.28[/C][C]87.3248[/C][C]87.28[/C][/ROW]
[ROW][C]0.77[/C][C]87.502[/C][C]87.5867[/C][C]87.59[/C][C]87.59[/C][C]87.5273[/C][C]87.48[/C][C]87.4833[/C][C]87.59[/C][/ROW]
[ROW][C]0.78[/C][C]87.894[/C][C]87.9796[/C][C]87.91[/C][C]87.91[/C][C]87.9124[/C][C]87.91[/C][C]87.9604[/C][C]88.03[/C][/ROW]
[ROW][C]0.79[/C][C]88.374[/C][C]88.41[/C][C]88.41[/C][C]88.41[/C][C]88.3866[/C][C]88.35[/C][C]88.41[/C][C]88.41[/C][/ROW]
[ROW][C]0.8[/C][C]89.27[/C][C]89.334[/C][C]89.27[/C][C]89.31[/C][C]89.286[/C][C]89.27[/C][C]89.286[/C][C]89.35[/C][/ROW]
[ROW][C]0.81[/C][C]89.55[/C][C]89.7181[/C][C]89.55[/C][C]89.55[/C][C]89.55[/C][C]89.55[/C][C]89.7919[/C][C]89.55[/C][/ROW]
[ROW][C]0.82[/C][C]90.292[/C][C]90.3028[/C][C]90.3[/C][C]90.3[/C][C]90.2938[/C][C]90.29[/C][C]90.4372[/C][C]90.3[/C][/ROW]
[ROW][C]0.83[/C][C]90.642[/C][C]90.7089[/C][C]90.69[/C][C]90.69[/C][C]90.6828[/C][C]90.69[/C][C]90.7011[/C][C]90.72[/C][/ROW]
[ROW][C]0.84[/C][C]91.51[/C][C]91.5172[/C][C]91.51[/C][C]91.51[/C][C]91.51[/C][C]91.51[/C][C]91.5328[/C][C]91.51[/C][/ROW]
[ROW][C]0.85[/C][C]91.74[/C][C]92.9045[/C][C]91.74[/C][C]92.425[/C][C]91.9455[/C][C]91.74[/C][C]91.9455[/C][C]93.11[/C][/ROW]
[ROW][C]0.86[/C][C]93.284[/C][C]93.4964[/C][C]93.34[/C][C]93.34[/C][C]93.3036[/C][C]93.34[/C][C]93.5236[/C][C]93.34[/C][/ROW]
[ROW][C]0.87[/C][C]94.404[/C][C]94.4221[/C][C]94.42[/C][C]94.42[/C][C]94.4066[/C][C]94.4[/C][C]94.4479[/C][C]94.42[/C][/ROW]
[ROW][C]0.88[/C][C]95.208[/C][C]95.422[/C][C]95.32[/C][C]95.32[/C][C]95.2752[/C][C]95.32[/C][C]95.368[/C][C]95.47[/C][/ROW]
[ROW][C]0.89[/C][C]96.958[/C][C]97.4943[/C][C]97.3[/C][C]97.3[/C][C]97.0207[/C][C]96.73[/C][C]97.7757[/C][C]97.3[/C][/ROW]
[ROW][C]0.9[/C][C]99.2[/C][C]99.254[/C][C]99.2[/C][C]99.23[/C][C]99.206[/C][C]99.2[/C][C]99.206[/C][C]99.26[/C][/ROW]
[ROW][C]0.91[/C][C]100.064[/C][C]101.0317[/C][C]100.18[/C][C]100.18[/C][C]100.0901[/C][C]100.18[/C][C]100.9983[/C][C]101.85[/C][/ROW]
[ROW][C]0.92[/C][C]102.264[/C][C]102.5752[/C][C]102.52[/C][C]102.52[/C][C]102.2896[/C][C]102.2[/C][C]102.9248[/C][C]102.52[/C][/ROW]
[ROW][C]0.93[/C][C]104.674[/C][C]104.9709[/C][C]104.73[/C][C]104.73[/C][C]104.6936[/C][C]104.73[/C][C]104.8191[/C][C]105.06[/C][/ROW]
[ROW][C]0.94[/C][C]106.368[/C][C]106.9936[/C][C]106.98[/C][C]106.98[/C][C]106.4292[/C][C]105.96[/C][C]107.0064[/C][C]106.98[/C][/ROW]
[ROW][C]0.95[/C][C]107.93[/C][C]109.507[/C][C]107.93[/C][C]108.76[/C][C]108.013[/C][C]107.93[/C][C]108.013[/C][C]109.59[/C][/ROW]
[ROW][C]0.96[/C][C]110.954[/C][C]111.6844[/C][C]111.27[/C][C]111.27[/C][C]110.9856[/C][C]111.27[/C][C]111.5956[/C][C]112.01[/C][/ROW]
[ROW][C]0.97[/C][C]113.842[/C][C]115.8206[/C][C]115.45[/C][C]115.45[/C][C]113.9023[/C][C]113.44[/C][C]117.2594[/C][C]115.45[/C][/ROW]
[ROW][C]0.98[/C][C]120.514[/C][C]123.8866[/C][C]121.18[/C][C]121.18[/C][C]120.5806[/C][C]121.18[/C][C]121.9434[/C][C]124.65[/C][/ROW]
[ROW][C]0.99[/C][C]138.578[/C][C]151.2605[/C][C]147.38[/C][C]147.38[/C][C]138.7247[/C][C]132.71[/C][C]153.4495[/C][C]147.38[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=48003&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48003&T=1

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


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

Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.0146.26646.266646.2946.2946.360846.2946.253446.29
0.0246.77646.777646.8446.8446.91246.7646.822446.76
0.0347.65247.654747.6747.6747.723947.6747.595347.67
0.0448.1548.1648.348.348.35448.0548.1948.05
0.0548.8448.84348.8448.8748.89748.8448.89748.84
0.0649.20249.206249.2349.2349.321849.2349.183849.23
0.0749.96849.970850505049.9649.989249.96
0.0850.49850.502850.5150.5150.783650.5150.457250.51
0.0952.48252.552252.9552.9552.953152.1752.567852.17
0.153.3153.31153.3153.31553.31953.3153.31953.31
0.1153.71853.737853.7953.7953.834153.7953.662253.79
0.1254.82454.862455.0855.0855.09254.7654.977654.76
0.1355.60455.614455.6255.6255.700455.6255.545655.62
0.1455.87455.882455.9155.9155.982855.8555.877655.91
0.1557.1157.20957.1157.4457.67157.1157.67157.11
0.1658.3458.37258.4258.4258.477258.4258.26858.42
0.1758.66858.691858.7858.7858.785458.6458.728258.64
0.1859.15259.168259.1759.1759.88359.1759.081859.17
0.1960.77260.825260.9460.9461.034560.6660.774860.94
0.261.8561.85461.8561.8661.86661.8561.86661.85
0.2162.47262.507762.5462.5462.793562.5462.402362.54
0.2264.764.764.764.764.764.764.764.7
0.2365.28265.317165.365.365.624965.365.852965.3
0.2466.11866.182866.2866.2866.284866.0166.107266.28
0.2566.6466.717566.6466.79566.872566.6466.872566.64
0.2667.32267.353267.3767.3767.393867.3767.266867.37
0.2767.6267.6267.6267.6267.6267.6267.6267.62
0.2868.368.380868.3868.3868.385268.3868.389268.38
0.2968.49668.522168.5568.5568.554468.4668.487968.55
0.368.7768.79768.7768.81568.83368.7768.83368.77
0.3169.42669.460169.4769.4769.507769.4769.369969.47
0.3269.78469.790469.869.869.797669.7869.789669.8
0.337070.016570.0170.0170.033570.0170.053570.01
0.3470.36270.372270.3870.3870.385470.3570.357870.38
0.3570.9170.94570.9170.9170.97570.9170.97570.91
0.3671.45471.522471.5371.5371.592471.5371.347671.53
0.3771.98272.022772.0772.0772.051371.9672.007372.07
0.3872.39272.48672.4572.4572.53472.4572.61472.45
0.3972.8772.967573.0273.0273.020672.7772.822573.02
0.473.2973.37873.2973.473.42273.2973.42273.29
0.4174.23474.390974.3974.3974.407174.3974.479174.39
0.4274.58674.619674.6574.6574.632474.5774.600474.65
0.4374.974.914674.9174.9174.917474.9174.925474.91
0.4475.20875.392875.4675.4675.443275.0475.107275.46
0.4575.6975.730575.6975.73575.739575.6975.739575.69
0.4675.8575.87675.8775.8775.88475.8775.96475.87
0.4776.08676.123676.1576.1576.128476.0776.096476.15
0.4876.19876.219676.276.276.222476.276.250476.2
0.4976.42276.461276.4776.4776.462876.3976.398876.47
0.576.6576.77576.6576.77576.77576.6576.77576.775
0.5177.10877.141177.1477.1477.140977.1477.148977.14
0.5277.4277.4277.4277.4277.4277.4277.4277.42
0.5377.72677.783377.7877.7877.782777.7877.786777.78
0.5478.17278.188278.1978.1978.185878.1678.161878.19
0.5578.3878.539578.6778.6778.510578.3878.510578.67
0.5678.83678.86878.8678.8678.86278.8678.90278.86
0.5779.24679.291679.3179.3179.280479.2379.248479.31
0.5879.88879.897679.8979.8979.894479.8979.902479.89
0.5980.01280.029780.0380.0380.02438080.000380.03
0.680.4780.47680.4780.47580.47480.4780.47480.48
0.6180.67680.780.780.780.699480.780.780.7
0.6281.1581.18181.1981.1981.16981.1481.14981.19
0.6381.57881.627381.5881.5881.598781.5881.642781.58
0.6481.93881.957281.9581.9581.945281.9382.122881.95
0.6582.3982.422582.3982.41582.407582.3982.407582.44
0.6682.97483.111683.0783.0783.055683.0783.188483.07
0.6783.5183.610583.6383.6383.559583.4883.499583.63
0.6884.01284.063684.0384.0384.038484.0384.066484.03
0.6984.3884.445484.4484.4484.41184.3484.494684.44
0.784.6784.90184.6784.6784.76984.6784.76985
0.7185.21485.236285.2385.2385.225685.2385.243885.23
0.7285.37485.568485.5985.5985.449685.3285.341685.59
0.7386.19686.324886.2486.2486.251286.2486.315286.4
0.7486.76686.83486.8286.8286.789486.7386.90686.82
0.7586.9887.047586.9887.02587.002586.9887.002587.07
0.7687.2887.305287.2887.2887.2887.2887.324887.28
0.7787.50287.586787.5987.5987.527387.4887.483387.59
0.7887.89487.979687.9187.9187.912487.9187.960488.03
0.7988.37488.4188.4188.4188.386688.3588.4188.41
0.889.2789.33489.2789.3189.28689.2789.28689.35
0.8189.5589.718189.5589.5589.5589.5589.791989.55
0.8290.29290.302890.390.390.293890.2990.437290.3
0.8390.64290.708990.6990.6990.682890.6990.701190.72
0.8491.5191.517291.5191.5191.5191.5191.532891.51
0.8591.7492.904591.7492.42591.945591.7491.945593.11
0.8693.28493.496493.3493.3493.303693.3493.523693.34
0.8794.40494.422194.4294.4294.406694.494.447994.42
0.8895.20895.42295.3295.3295.275295.3295.36895.47
0.8996.95897.494397.397.397.020796.7397.775797.3
0.999.299.25499.299.2399.20699.299.20699.26
0.91100.064101.0317100.18100.18100.0901100.18100.9983101.85
0.92102.264102.5752102.52102.52102.2896102.2102.9248102.52
0.93104.674104.9709104.73104.73104.6936104.73104.8191105.06
0.94106.368106.9936106.98106.98106.4292105.96107.0064106.98
0.95107.93109.507107.93108.76108.013107.93108.013109.59
0.96110.954111.6844111.27111.27110.9856111.27111.5956112.01
0.97113.842115.8206115.45115.45113.9023113.44117.2594115.45
0.98120.514123.8866121.18121.18120.5806121.18121.9434124.65
0.99138.578151.2605147.38147.38138.7247132.71153.4495147.38


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
x <-sort(x[!is.na(x)])
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
lx <- length(x)
qval <- array(NA,dim=c(99,8))
mystep <- 25
mystart <- 25
if (lx>10){
mystep=10
mystart=10
}
if (lx>20){
mystep=5
mystart=5
}
if (lx>50){
mystep=2
mystart=2
}
if (lx>=100){
mystep=1
mystart=1
}
for (perc in seq(mystart,99,mystep)) {
qval[perc,1] <- q1(x,lx,perc/100,i,f)
qval[perc,2] <- q2(x,lx,perc/100,i,f)
qval[perc,3] <- q3(x,lx,perc/100,i,f)
qval[perc,4] <- q4(x,lx,perc/100,i,f)
qval[perc,5] <- q5(x,lx,perc/100,i,f)
qval[perc,6] <- q6(x,lx,perc/100,i,f)
qval[perc,7] <- q7(x,lx,perc/100,i,f)
qval[perc,8] <- q8(x,lx,perc/100,i,f)
}
bitmap(file='test1.png')
myqqnorm <- qqnorm(x,col=2)
qqline(x)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Percentiles - Ungrouped Data',9,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p',1,TRUE)
a<-table.element(a,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')