DESCRIPTIVE STATISTICS: GROUPED DATA Confidence Level 99.900%
Bathtub Failure Rate             Significance Level 0.1%   Grouped data for histogram from Dimitri Kececioglu, Reliability Engineering Handbook, Vol. 1 (Englewood Cliffs, NJ: Prentice Hall, Inc.), pp. 610-620.
t(α/2,n-1) 3.362959911
Observations Group Limits
Number of Observations 138 Minimum 0
Number of Groups 17 Maximum 7000
Optimal Number of Groups [Sturges' Rule] 8.108524457 Range 7000
Interval Midpoint Group Frequencies
Mean 4520.954348 Minimum 2
Median 5591.105263 Maximum 19
Mode 5901.666667 Range 17
Geometric Mean 2824.673407
Harmonic Mean 513.9638641
Population Sample
Population Standard Deviation 2322.210432 Sample Standard Deviation 2330.670243
Population Variance 5392661.291 Sample Variance 5432023.782
Coefficient of Variation 0.513654917 Coefficient of Variation 11.79013568
Standard Error of the Mean 197.6796796 Standard Error of the Mean 198.3998265
99.9% Confidence Interval for Population Mean 99.9% Confidence Interval for Sample Mean
Lower Limit L 3856.16551 Lower Limit L 3853.743685
Upper Limit U 5185.743186 Upper Limit U 5188.165011
Quartiles, Deciles, Percentiles 99.9% Confidence Interval for Population Mean Symmetry Quartiles, Deciles, Percentiles
Skewness -0.830144744 Lowest Q0 D0 P0 0
Standard Error of Skewness (SES) 0.206295161   P1 12.29185714
Skewness Test Statistic (Skewness/SES) -4.024063093   P5 61.45928571
Distribution's Deviation from Symmetry Extended to Left   D1 P10 122.9185714
Peakedness Q1   P25 2990.25
Kurtosis 2.249819222 Median Q2 D5 P50 5591.105263
Standard Error of Kurtosis (SEK) 0.409781 Q3   P75 6413.625
Excess Kurtosis -0.750180778   D9 P90 6786.505882
Kurtosis Test Statistic (Excess Kurtosis/SEK) -1.830687071   P95 6893.252941
Shape of Distribution's Peak Mesokurtic   P99 6978.650588
Distribution's Degree of Peakedness Near Normal Highest Q4 D10 P100 7000
Inter-Quartile Range Q3-Q1 3423.375
Correlation
Correlation (Pearson) CORR(τ,O) 0.597127706
Population Moments
Bar Lengths as % of Maximum
m1 5.79968E-13
m2 5392661.291 Confidence Inteval for Mean 100%
m3 -10395814893 Percentiles 15%
m4 6.54265E+13 Mode 100%
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