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Calculation Machine

Average Calculator

Mean, median, mode and range from a list.

Reviewed by the Calculation Machine team · How we check our maths

Your values

ⓘ Live results

Results
Mean
14.571429
Median
15
Mode
15
Range
13
Sum / count
102 over 7 values

Working

  1. 1Sorted: 9, 11, 12, 15, 15, 18, 22

Quick answer

The mean is the sum divided by the count, the median is the middle value when sorted, and the mode is the most frequent value.

The formula

mean = Σx ÷ n

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Numbers (comma separated)12, 15, 11, 18, 15, 22, 9

Result

  • Mean14.571429
  • Median15
  • Mode15
  • Range13
  • Sum / count102 over 7 values

How to use the Average Calculator

  1. 1Paste or type your numbers separated by commas.
  2. 2Read mean, median and mode.
  3. 3Compare mean and median to spot skew.

Frequently asked questions

Mean or median?

Use the median when data is skewed or has outliers — house prices and salaries are classic cases where the mean misleads.

Can data have two modes?

Yes. Bimodal data has two equally frequent values, which often signals two distinct groups mixed together.

About this calculator