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LunaCalc

Statistics

Mean Median Mode Calculator

Calculate mean, median and mode for a number list.

About this calculator

This mean, median, and mode calculator summarizes a number list with three different centers so you can spot skew and outliers.

Formula notes

mean = Σx/n; median = middle value of the sorted list (average of the two middles for even n); mode = most frequent value.

Worked examples

  1. Example: 1, 2, 2, 4 gives mean 2.25, median 2, and mode 2.
  2. For 2, 3, 3, 4, and 100, the mean is 22.4, median is 3, and mode is 3, illustrating how the outlier pulls the mean.

How to use it

  1. Enter a comma-separated list of numbers.
  2. Compare mean and median to detect skew.
  3. Read the mode for the most common value.

Frequently asked questions

When is median better than mean?

With outliers or skewed data, the median resists extreme values better than the mean.

Can there be more than one mode?

Yes. If several values tie for highest frequency, the list is multimodal.

Limits and interpretation

  • Mean, median, and mode summarize different aspects and none alone describes spread, skew, or data quality.
  • A dataset can have no mode or several modes, and rounding values before analysis can create artificial ties.

References