Separate values with commas, spaces, semicolons, tabs, or new lines.
Calculate both population and sample standard deviation from the same list of numbers. Variance, mean, quartiles, and range are included for context.
Population variance divides squared deviations by the full count. Sample variance uses n minus one to estimate a wider population and therefore requires at least two values.
The mean uses every value, the median uses the middle of the sorted data, and the mode reports the most frequent value or values. A data set in which every value occurs equally often has no mode.
Population measurements describe the entered values as the complete population. Sample measurements divide by n − 1 and are intended when the values are a sample of a larger population.
Q1 and Q3 are calculated as medians of the lower and upper halves. For an odd-sized data set, the overall median is excluded from both halves.
Related tools: Statistics Calculator · Average Calculator · Mean Median Mode · Standard Deviation
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