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Free Mean, Median & Mode Calculator

Calculate the mean, median, mode, and range of a set of numbers with full step-by-step working.

100% Free No Signup Works on all devices

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Key Features

Instant Calculation

Get accurate results in real time with our optimized algorithm.

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100% Free

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Mean, median, and mode are the three most common ways to describe the "center" of a data set, and each tells a slightly different story — the mean is sensitive to outliers, the median is not, and the mode highlights the most frequent value.

This calculator takes any list of numbers and works out all three, along with the range, showing every step of the calculation.

How it works

Enter your numbers separated by commas or spaces. The calculator sorts the list, finds the middle value (median), tallies which value(s) repeat most (mode), and averages everything (mean).

  1. Enter numbers (comma or space separated).
  2. Click Calculate to see your results.

Examples

Comparing average test scores

Scores of 72, 85, 90, 85, 60 have a mean of 78.4, a median of 85, and a mode of 85 — showing the median and mode agree while the mean is pulled down by the low score of 60.

Who should use it

  • Summarizing a set of test scores, survey responses, or measurements.
  • Quickly checking whether a data set is skewed by comparing its mean and median.

Industry applications

  • Education and academic research
  • Data analysis and statistics

Advantages

  • Calculates all three central tendency measures plus range in one step.
  • Shows the full sorted list and calculation for transparency.

Limitations

  • Does not calculate variance or standard deviation — use the dedicated Standard Deviation Calculator for that.

Common mistakes to avoid

  • Forgetting to sort the data before finding the median by hand.
  • Assuming the mean is always the best measure of "average" — for skewed data, the median often better represents a typical value.

Best practices

  • When a data set has extreme outliers, report the median alongside (or instead of) the mean, since the mean can be misleading in that case.

Tips

  • If the mean and median are very different, that's a strong sign your data set has outliers or is skewed.

Frequently asked questions

Yes, with no signup and no limit on how many calculations you run.
The mean is the arithmetic average of all values; the median is the middle value when the data is sorted. The median is less affected by extreme outliers than the mean.
If two or more values are tied for the highest frequency, all of them are reported as modes (a "multimodal" data set). If every value appears exactly once, there is no mode.
When there is an even count, the median is the average of the two middle values after sorting.

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