What is the difference between sample and population standard deviation?

The sample version divides by n-1 (an unbiased estimate used when inferring about a population); the population version divides by n when you already have every data point. Both are shown.

How is the mode determined?

The value or values that occur most often, provided they occur more than once. If every value appears equally often there is no mode.

How are outliers defined?

Values below Q1 − 1.5×IQR or above Q3 + 1.5×IQR, the usual box-plot rule.

Can I paste straight from Excel?

Yes — spaces, tabs, commas, semicolons and line breaks all work as separators, and blank lines are ignored.

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📊Statistics Calculator - Mean, Median, Mode, Variance and Standard Deviation

Paste a set of numbers and get every common descriptive statistic at once: mean, median, mode, minimum and maximum, range, quartiles and IQR, sample and population variance and standard deviation, standard error and coefficient of variation, with 1.5×IQR outliers flagged.

Free · No sign-up · Runs in your browserLast updated: 2026-10-26

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How to use Statistics Calculator

1Paste your data, separated by spaces, commas, semicolons or line breaks
2All statistics appear immediately, with sample and population values side by side
3Copy any value, or the sorted data set

FAQ

What is the difference between sample and population standard deviation?: The sample version divides by n-1 (an unbiased estimate used when inferring about a population); the population version divides by n when you already have every data point. Both are shown.
How is the mode determined?: The value or values that occur most often, provided they occur more than once. If every value appears equally often there is no mode.
How are outliers defined?: Values below Q1 − 1.5×IQR or above Q3 + 1.5×IQR, the usual box-plot rule.
Can I paste straight from Excel?: Yes — spaces, tabs, commas, semicolons and line breaks all work as separators, and blank lines are ignored.