Sample vs population standard deviation?

Sample SD divides by n−1 (use when your data is a sample of a larger group); population SD divides by n (use when you have the whole population). Both are shown.

It lists every value tied for the highest frequency, or shows none if all values are unique.

Statistics Calculator

Get mean, median, mode, range, variance and standard deviation from a list of numbers.

Numbers (comma or space separated)

Count

Sum

228

Mean

22.8

Median

23.5

Mode

Min / Max

12 / 41

Range

Std dev (sample)

8.5609

Std dev (population)

8.1216

Variance (sample)

73.2889

Variance (population)

65.96

Loading Tool…

What Is the Statistics Calculator?

The Statistics Calculator computes descriptive statistics for any list of numbers: count, sum, mean, median, mode, minimum, maximum, range, and both sample and population variance and standard deviation. Paste your data separated by commas or spaces and get every summary statistic at once.

How It Works

Paste or type your numbers separated by commas or spaces. All statistics recalculate instantly as you edit.

When to Use It

For students, researchers, analysts and teachers summarizing a data set, checking homework, or getting quick descriptive stats without a spreadsheet.

Frequently Asked Questions

Sample vs population standard deviation?: Sample SD divides by n−1 (use when your data is a sample of a larger group); population SD divides by n (use when you have the whole population). Both are shown.
How is mode handled?: It lists every value tied for the highest frequency, or shows none if all values are unique.

Found an issue? Send Feedback. See our data sources and update policy for tools that depend on changing information.