DESCRIPTIVE STATISTICS: GROUPED DATA Confidence Level 95.000%
Uranium α-Particle Emission         Significance Level 5.0%   Grouped data for histogram from Irwin Guttman, S. S. Wilks, and J. Stuart Hunter, Introductory Engineering Statistics, 3rd ed. (New York, NY: John Wiley & Sons, 1982), p.289.
t(α/2,n-1) 1.9842169
Observations Group Limits
Number of Observations 100 Minimum -0.1
Number of Groups 8 Maximum 11
Optimal Number of Groups [Sturges' Rule] 7.64385619 Range 11.1
Interval Midpoint Group Frequencies
Mean 3.717 Minimum 6
Median 3.423076923 Maximum 26
Mode 3.375 Range 20
Geometric Mean 3.057578504
Harmonic Mean 2.254249519
Population Sample
Population Standard Deviation 2.1014426 Sample Standard Deviation 2.112029279
Population Variance 4.416061 Sample Variance 4.460667677
Coefficient of Variation 0.56535986 Coefficient of Variation 10.05037815
Standard Error of the Mean 0.21014426 Standard Error of the Mean 0.211202928
95% Confidence Interval for Population Mean 95% Confidence Interval for Sample Mean
Lower Limit L 3.300028208 Lower Limit L 3.297927581
Upper Limit U 4.133971792 Upper Limit U 4.136072419
Quartiles, Deciles, Percentiles 95% Confidence Interval for Population Mean Symmetry Quartiles, Deciles, Percentiles
Skewness 0.776399983 Lowest Q0 D0 P0 -0.1
Standard Error of Skewness (SES) 0.241379779   P1 0.083333333
Skewness Test Statistic (Skewness/SES) 3.216507968   P5 0.816666667
Distribution's Deviation from Symmetry Extended to Right   D1 P10 1.25
Peakedness Q1   P25 2.176470588
Kurtosis 3.290091759 Median Q2 D5 P50 3.423076923
Standard Error of Kurtosis (SEK) 0.478331133 Q3   P75 4.909090909
Excess Kurtosis 0.290091759   D9 P90 6.555555556
Kurtosis Test Statistic (Excess Kurtosis/SEK) 0.606466397   P95 7.666666667
Shape of Distribution's Peak Mesokurtic   P99 10.33333333
Distribution's Degree of Peakedness Near Normal Highest Q4 D10 P100 11
Inter-Quartile Range Q3-Q1 2.732620321
Correlation
Correlation (Pearson) CORR(τ,O) -0.34721272
Population Moments
Bar Lengths as % of Maximum
m1 0
m2 4.416061 Confidence Inteval for Mean 100%
m3 7.205068476 Percentiles 15%
m4 64.16203619 Mode 100%
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