Calculator/Math Calculators/ Mean & Standard Deviation Calculator

What is this statistics calculator?

A tool that shows the average of several numbers and how spread out they are (standard deviation) at a glance. Quickly grasp a set of numbers such as test scores, measurements, or experiment data.

Enter numbers

Separate numbers with commas (,), spaces, or line breaks. Example: 87, 92, 78, 95, 88

Formula

Mean = sum / count. Variance = sum of (each value - mean)^2 / count (population) or / (count-1) (sample). Standard deviation = sqrt(variance). The median is the middle value after sorting; the mode is the most frequent value.

How to use

  1. Enter the numbers you want to average, separated by commas or line breaks.
  2. Choose whether it is a sample or the whole population. If unsure, leave it on Sample.
  3. Press Calculate to see the mean, standard deviation, and all other statistics.

Example

Entering the scores 87, 92, 78, 95, 88 gives a mean of 88 and a sample standard deviation of about 6.68. The standard deviation shows how far the values spread from the mean.

Frequently asked questions

What is the difference between sample and population?
If your data is the entire group, it is the population (divide by n). If it is only a portion drawn from a larger group, it is a sample (divide by n-1). Survey and experiment data usually use Sample.
The mode shows None.
If every number appears only once, there is no mode. A mode appears when a value occurs two or more times.
Can I enter decimals?
Yes. You can enter decimals and negative numbers such as 3.14 or -2.5.

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