Mean Median Mode Calculator

All three describe the center of a dataset, but in different ways. Mean is the arithmetic average: add every value and divide by the count. Median is the middle value once you sort the list, or the average of the two middles when the count is even. Mode is the value (or values) that appears most often. Use all three together to see how a distribution is shaped, not just where it sits.

If every value appears exactly once, the dataset has no mode and the calculator returns no mode. If two or more values tie for the highest frequency, the data is multimodal and the calculator returns every tied value sorted ascending. Mode is the only one of the three centers that can be undefined or have multiple answers.

Use the median whenever your data has outliers or a long tail. A single billionaire pulls the mean income of a town far above what most people earn, while the median barely moves. Home prices, salaries, response times, and any skewed distribution are routinely reported as medians. Use the mean when the data is symmetric and free of extreme values, since it uses every observation.

Sample variance, with divisor n - 1 (Bessel's correction). That is the right choice when your list is a sample drawn from a larger population, which is the common case. Standard deviation is just the square root of that variance. If you have the entire population and want population variance with divisor n, use the dedicated variance calculator instead.

Type or paste your numbers into the box, separated by commas, spaces, tabs, or new lines. Decimals like 3.14 and negative numbers like -7 are supported. Non-numeric tokens and non-finite values (NaN, Infinity) are skipped automatically, so you can paste a spreadsheet column without cleaning it first.