Mean, Median & Mode Calculator

Calculate mean, median, mode, and range for any data set with step-by-step working.

Enter Data Set

Data (8 values): 2, 4, 4, 4, 5, 5, 7, 9

Standard Deviation (s)

2.1381

Mean (Average)

5

Variance

4.5714

Median

4.5

Mode

4

Min / Max

2 / 9

Range

7

Mean Median Mode Calculator Formula & How It Works

Mean = Σxᵢ/n | Median = middle value | Mode = most frequent
  • Mean: arithmetic average (sensitive to outliers)
  • Median: middle value when sorted (robust to outliers)
  • Mode: most frequent value (can be multiple)
  • Range = Maximum − Minimum

The three measures of central tendency each answer 'what is the typical value?' differently. Mean uses all values equally — skewed by extremes. Median splits the distribution — unaffected by outliers. Mode finds the most common — can be multiple or absent. Choose based on data type and purpose.

Mean Median Mode Calculator FAQs

Which measure of average should I use?

Mean: symmetric data without outliers (test scores, temperature). Median: skewed data or data with outliers (income, house prices). Mode: categorical data or finding most common value (shoe sizes, survey responses).

How do you find the median of an even number of values?

Sort the data. With an even count, there are two middle values. Median = average of the two middle values. For {2, 4, 6, 8}: median = (4+6)/2 = 5.

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