Descriptive Statistics

Mean, median, quartiles, spread, shape and outliers for a column of numbers, with a histogram

Data

Quartiles interpolate between order statistics (Excel QUARTILE.INC), spread is reported for both the sample and the population, skewness and kurtosis are the bias-corrected G1 / G2, and outliers use the 1.5 × IQR fence.

Summary

n = 30

Central tendency

Count: 30
Sum: 427.6
Mean: 14.253333
Median: 13.35
Mode: No repeated values
Geometric mean: 13.78481
Harmonic mean: 13.538551

Spread

Std dev (sample): 5.2818318
Std dev (population): 5.1930552
Variance (sample): 27.897747
Variance (population): 26.967822
Minimum: 11.5
Maximum: 41.7
Range: 30.2

Quantiles

Q1 (25%): 12.525
Median: 13.35
Q3 (75%): 14.075
Interquartile range: 1.55
Coefficient of variation: 37.06%

Shape

Skewness: 5.1583007
Kurtosis (excess): 27.605363
Low: None
High: 41.7

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