DESCRIPTIVE STATISTICS: GROUPED DATA Confidence Level 99.000%
Time-to-Failure Data for Bearings   Significance Level 1.0% Time-to-Failure Data for Bearings from Charles Lipson and Narendra J. Sheth, Statistical Design and Analysis of Engineering Experiments (New York, NY: MacGraw-Hill, Inc., 1973), pp. 403-406.
t(α/2,n-1) 2.756385902
Observations Group Limits
Number of Events [Observations] 30 Minimum 0
Number of Groups 30 Maximum 930
Optimal Number of Groups [Sturges' Rule] 5.906890596 Range 930
Interval Midpoint Group Frequencies
Mean 362.7333333 Minimum 1
Median 282 Maximum 1
Mode 79 Range 0
Geometric Mean 284.8351413
Harmonic Mean 211.7467124
Population Sample
Population Standard Deviation 240.8609811 Sample Standard Deviation 244.9785611
Population Variance 58014.01222 Sample Variance 60014.4954
Coefficient of Variation 0.664016673 Coefficient of Variation 5.570860145
Standard Error of the Mean 43.97499753 Standard Error of the Mean 44.72676134
99.0% Confidence Interval for Population Mean 99.0% Confidence Interval for Sample Mean
Lower Limit L 241.5212701 Lower Limit L 239.4491189
Upper Limit U 483.9453966 Upper Limit U 486.0175477
Quartiles, Deciles, Percentiles 99.0% Confidence Interval for Population Mean Symmetry Quartiles, Deciles, Percentiles
Skewness 0.80863138 Lowest Q0 D0 P0 0
Standard Error of Skewness (SES) 0.426892396   P1 23.7
Skewness Test Statistic (Skewness/SES) 1.89422765   P5 88.5
Distribution's Deviation from Symmetry Extended to Right   D1 P10 124
Peakedness Q1   P25 177.5
Kurtosis 2.526222158 Median Q2 D5 P50 282
Standard Error of Kurtosis (SEK) 0.832745618 Q3   P75 535
Excess Kurtosis -0.473777842   D9 P90 750
Kurtosis Test Statistic (Excess Kurtosis/SEK) -0.568934656   P95 865
Shape of Distribution's Peak Mesokurtic   P99 918
Distribution's Degree of Peakedness Near Normal Highest Q4 D10 P100 930
Inter-Quartile Range Q3-Q1 357.5
Correlation
Correlation (Pearson) CORR(τ,O) --
Population Moments
Bar Lengths as % of Maximum
m1 -1.44003E-13
m2 58014.01222 Confidence Inteval for Mean 100%
m3 11299258.49 Percentiles 15%
m4 8502318002 Mode 100%
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