DESCRIPTIVE STATISTICS: GROUPED DATA Confidence Level 99.900%
Time-to-Failure for Components       Significance Level 0.1%   Grouped data for histogram from Dimitri Kececioglu, Reliability Engineering Handbook, Vol. 1 (Englewood Cliffs, NJ: Prentice Hall, Inc.), pp. 108-139.
t(α/2,n-1) 3.334488608
Observations Group Limits
Number of Observations 225 Minimum 425.5
Number of Groups 10 Maximum 455.5
Optimal Number of Groups [Sturges' Rule] 8.813781191 Range 30
Interval Midpoint Group Frequencies
Mean 436.7866667 Minimum 2
Median 436.4326923 Maximum 52
Mode 436.1071429 Range 50
Geometric Mean 436.7505337
Harmonic Mean 436.7145101
Population Sample
Population Standard Deviation 5.626824642 Sample Standard Deviation 5.639370532
Population Variance 31.66115556 Sample Variance 31.8025
Coefficient of Variation 0.012882318 Coefficient of Variation 15.03344486
Standard Error of the Mean 0.375121643 Standard Error of the Mean 0.375958035
99.9% Confidence Interval for Population Mean 99.9% Confidence Interval for Sample Mean
Lower Limit L 435.5358278 Lower Limit L 435.5330389
Upper Limit U 438.0375055 Upper Limit U 438.0402945
Quartiles, Deciles, Percentiles 99.9% Confidence Interval for Population Mean Symmetry Quartiles, Deciles, Percentiles
Skewness 0.377390853 Lowest Q0 D0 P0 425.5
Standard Error of Skewness (SES) 0.16222464   P1 425.9821429
Skewness Test Statistic (Skewness/SES) 2.326347301   P5 427.9107143
Distribution's Deviation from Symmetry Extended to Right   D1 P10 429.4107143
Peakedness Q1   P25 432.6554054
Kurtosis 2.900213731 Median Q2 D5 P50 436.4326923
Standard Error of Kurtosis (SEK) 0.323061078 Q3   P75 440.4038462
Excess Kurtosis -0.099786269   D9 P90 444.5263158
Kurtosis Test Statistic (Excess Kurtosis/SEK) -0.308877409   P95 446.3026316
Shape of Distribution's Peak Mesokurtic   P99 452.125
Distribution's Degree of Peakedness Near Normal Highest Q4 D10 P100 455.5
Inter-Quartile Range Q3-Q1 7.748440748
Correlation
Correlation (Pearson) CORR(τ,O) -0.602197354
Population Moments
Bar Lengths as % of Maximum
m1 -2.34953E-14
m2 31.66115556 Confidence Inteval for Mean 100%
m3 67.23284859 Percentiles 15%
m4 2907.257687 Mode 100%
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