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Mean Median Mode Calculator

Enter a list of numbers to instantly calculate mean, median, mode, range, sum, count, and standard deviation.

What is Mean Median Mode Calculator?

A mean, median, and mode calculator computes all three measures of central tendency from a list of numbers, along with range, sum, count, and standard deviation. Together these statistics give a complete picture of a dataset's center, spread, and distribution.

How to use

  1. 1 Type or paste your numbers into the input box, separated by commas or spaces.
  2. 2 All statistics update automatically as you type.
  3. 3 The mean is shown prominently; median, mode, range, sum, count, and standard deviation appear in the grid below.
  4. 4 No minimum number of values is required, though std dev needs at least 2.

Formula

Mean = Σx / n. Median = middle value of the sorted list (or average of two middle values for even count). Mode = most frequently occurring value(s). Std dev = √(Σ(xᵢ - mean)² / n) (population).

Example calculation

For the dataset 4, 8, 15, 16, 23, 42: mean = 18, median = 15.5 (average of 15 and 16), mode = none (all unique), range = 38, sum = 108, std dev ≈ 12.3.

Frequently asked questions

What is the best measure of central tendency to use?

Use mean for symmetric distributions without outliers. Use median when data is skewed or has outliers (e.g., income data). Use mode for categorical data or to find the most common value.

Can a dataset have more than one mode?

Yes. A dataset with two modes is bimodal; with three or more it's multimodal. If all values appear the same number of times, there is no mode.

Why might the mean and median be very different?

Large outliers pull the mean toward them while leaving the median relatively unchanged. This is why median is preferred for skewed distributions like household income.

What is the difference between this and the Average Calculator?

This calculator includes all the same stats as the Average Calculator and adds population standard deviation. Both are useful; this one is more comprehensive.

Does this use population or sample standard deviation?

This calculator displays the population standard deviation (divides by n). For sample std dev (divides by n-1), use the dedicated Standard Deviation Calculator.