DESCRIPTIVE STATISTICS: GROUPED DATA Confidence Level 99.000%
Units with Multiple Failure Modes   Significance Level 1.0%   Time-to-Failure Data for Units with Multiple Failure Modes from Dimitri Kececioglu, Reliability Engineering Handbook, Vol. 1 (Englewood Cliffs, NJ: Prentice Hall, Inc.), pp. 536-556.
t(α/2,n-1) 2.632204185
Observations Group Limits
Number of Events [Observations] 90 Minimum 0
Number of Groups 17 Maximum 10200
Optimal Number of Groups [Sturges' Rule] 7.491853096 Range 10200
Interval Midpoint Group Frequencies
Mean 3333.333333 Minimum 0
Median 2836.363636 Maximum 23
Mode 372.972973 Range 23
Geometric Mean 1892.264478
Harmonic Mean 887.0457755
Population Sample
Population Standard Deviation 2777.568881 Sample Standard Deviation 2793.129613
Population Variance 7714888.889 Sample Variance 7801573.034
Coefficient of Variation 0.833270664 Coefficient of Variation 9.53998092
Standard Error of the Mean 292.7814674 Standard Error of the Mean 294.4217125
99.0% Confidence Interval for Population Mean 99.0% Confidence Interval for Sample Mean
Lower Limit L 2562.67273 Lower Limit L 2558.355269
Upper Limit U 4103.993937 Upper Limit U 4108.311397
Quartiles, Deciles, Percentiles 99.0% Confidence Interval for Population Mean Symmetry Quartiles, Deciles, Percentiles
Skewness 0.575401742 Lowest Q0 D0 P0 0
Standard Error of Skewness (SES) 0.25403197   P1 23.47826087
Skewness Test Statistic (Skewness/SES) 2.265076089   P5 117.3913043
Distribution's Deviation from Symmetry Extended to Right   D1 P10 234.7826087
Peakedness Q1   P25 586.9565217
Kurtosis 2.245847706 Median Q2 D5 P50 2836.363636
Standard Error of Kurtosis (SEK) 0.502935907 Q3   P75 5500
Excess Kurtosis -0.754152294   D9 P90 7125
Kurtosis Test Statistic (Excess Kurtosis/SEK) -1.499499804   P95 8700
Shape of Distribution's Peak Mesokurtic   P99 9930
Distribution's Degree of Peakedness Near Normal Highest Q4 D10 P100 10200
Inter-Quartile Range Q3-Q1 4913.043478
Correlation
Correlation (Pearson) CORR(τ,O) -0.604173119
Population Moments
Bar Lengths as % of Maximum
m1 -1.61688E-13
m2 7714888.889 Confidence Inteval for Mean 100%
m3 12330074074 Percentiles 15%
m4 1.33672E+14 Mode 100%
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