What is the difference between population and sample standard deviation?

Population SD divides by N (use when your data is the entire population). Sample SD divides by N−1 (use when your data is a sample estimating a larger population). This tool shows both.

How is the mode calculated when multiple values tie?

All values with the highest frequency are returned (multimodal). If every value appears once, no mode exists.

What input formats are accepted?

Numbers separated by commas, spaces, tabs, or newlines. Non-numeric tokens are ignored. Decimals and negatives are supported.

Statistics Calculator

Calculators· 14 tools

Free statistics calculator for descriptive statistics. Paste or type a list of numbers (comma, space, or newline separated) to compute mean (average), median, mode, range, sum, population and sample standard deviation, variance, and quartiles. Handles large datasets instantly in your browser.

Numbers

10 values detected

Count10

Sum258

Mean25.8

Median26.5

Modenone

Min12

Max40

Range28

Q1 (25%)19

Q3 (75%)32.25

IQR13.25

Sample SD9.0897

Population SD8.6232

Sample variance82.6222

Population variance74.36

Frequently Asked Questions

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