MathSolver AI

Mean, Median, and Mode

The mean is the average, the median is the middle of a sorted list, and the mode is the most common value.

Which one should you use?

Use the mean for symmetric data without extreme outliers. Use the median for skewed data. Use the mode for categorical data or for the most typical category.

Step-by-step method

  1. Mean: sum divided by count.
  2. Median: sort, then take the middle.
  3. Mode: count frequencies.

Example

2, 4, 4, 4, 5, 5, 7, 9

  1. Mean 5
  2. Median 4.5
  3. Mode 4

Answer: mean 5, median 4.5, mode 4

Interactive example

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Example problems

Common mistakes

Reporting unsorted “median”

Always sort before picking the middle.

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Frequently asked questions

Can there be more than one mode?

Yes. A data set can be bimodal or have no mode if all frequencies are 1.