Mean, Median & Mode Calculator

Calculate mean, median, mode, range, sum, min and max from a set of numbers. Shows sorted data.

Last updated: April 2026 · Source: BBC Bitesize — Averages

Mean

19

Median

16.5000

Mode

15

Count

8

Sum

152

Min

12

Max

30

Range

18

Sorted: 12, 15, 15, 15, 18, 22, 25, 30

Disclaimer

This calculator is provided for informational purposes only and should not be considered as financial or tax advice. All calculations are performed locally in your browser — no personal data is collected or sent to our servers. Rates and thresholds are sourced from HMRC and GOV.UK and are updated for the current tax year. Always verify results with HMRC or consult a qualified professional before making financial decisions.

How It Works

The three averages — mean, median and mode — each summarise a data set differently. The mean is the sum divided by the count, affected by outliers. The median is the middle value when sorted, resistant to outliers. The mode is the most frequent value, useful for categorical data.

This calculator finds all three averages plus the range (highest minus lowest). It sorts your data, highlights the median position and identifies all modes (a set can have multiple modes or no mode at all). Results include step-by-step working for each measure.

Example: Data set {3, 7, 7, 2, 9}

  1. Sorted: 2, 3, 7, 7, 9
  2. Mean: (2+3+7+7+9) ÷ 5 = 5.6
  3. Median: 7 (middle value)
  4. Mode: 7 (appears twice)
  5. Range: 9 − 2 = 7

Source: BBC Bitesize — Averages

Frequently Asked Questions

What does the Mean, Median & Mode Calculator do?
Calculate mean, median, mode, range, sum, min and max from a set of numbers. Shows sorted data. All calculations are performed in your browser using official UK rates and thresholds.
How accurate are the results?
This calculator uses standard mathematical algorithms and provides results accurate to the precision shown. For very large numbers or high-precision requirements, results are rounded to a reasonable number of decimal places.
Can I use this for schoolwork?
Yes. This calculator is suitable for GCSE, A-level and university-level mathematics. It follows standard mathematical conventions used in UK education.