Average (Mean) Calculator

This calculator finds the mean, median, mode, and range — plus the count, sum, and standard deviation — from any list of numbers. Just enter the values separated by commas, spaces, or new lines. “Average” most often means the mean, but median and mode are also averages, and choosing the right one matters: a class's average marks, a typical monthly grocery bill, the most common shoe size sold, or the average rainfall in a city can each be best summarised by a different measure. The calculator works them all out at once so you can compare.

Measures of central tendency

Mean: sum ÷ count. The everyday average; simple but sensitive to outliers.

Median: the middle value when the numbers are sorted. Robust to outliers — better for income, house prices, and other skewed data.

Mode: the value that appears most often. There can be one mode, several, or none if every value is unique.

Range: max − min. A quick measure of how spread out the data is.

Formula and worked example

The mean is A = (x₁ + x₂ + … + xₙ) / n. Take five test scores: 80, 75, 90, 60, 95. The sum is 400 and the count is 5, so the mean is 400 ÷ 5 = 80. To find the median, sort them to 60, 75, 80, 90, 95; the middle (third) value is 80. Every value appears once, so there is no mode. The range is 95 − 60 = 35.

Tips

• When the count is even, the median is the average of the two middle values after sorting.
• If a few very large or very small values are pulling the mean away from most of the data, report the median instead.
• For a true weighted result (like CGPA or a fee-blended interest rate), a plain average is not enough — each value needs its own weight.