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Mean, median, mode and range questions and answers

The mean is the total divided by how many values there are. The median is the middle value once they're in order (the mean of the middle two if there's an even number). The mode is the most common value. The range is the largest minus the smallest, and measures how spread out the data is.

8 questions · Foundation tier · Every answer is checked as you type it, with a full worked solution. Updated .

Start the questions Mean, median, mode and range guide Mean, median and mode calculator

Where mean, median, mode and range comes up

GCSE (AQA, Edexcel, OCR)Foundation and Higher: measures of central tendency (median, mean, mode and modal class) and spread (range, including outliers).
Cambridge IGCSE (0580)Core and Extended: calculate the mean, median, mode and range for individual data and know what each is used for.

The method

  1. Mean: add them up, divide by how many.
  2. Median: put them in order, find the middle.
  3. Mode: the most common value.
  4. Range: biggest − smallest.
  5. Missing value: total needed = mean × how many.

Mean, median, mode and range questions

Try each one before looking at the hint. If you're stuck, the AI tutor can talk you through it step by step.

Warm-up

Question 1Warm-upFoundation

Find the mean of 4, 7, 9, 3 and 7.

Question 2Warm-upFoundation

Find the median of 8, 3, 5, 12 and 7.

Exam-style

Question 3Exam-styleFoundation

Find the mode of 2, 5, 5, 7, 8, 8, 8, 9.

Question 4Exam-styleFoundation

Find the range of 15, 4, 22, 9 and 11.

Question 5Exam-styleFoundation

Find the median of 3, 9, 4, 12, 7 and 10.

Question 6Exam-styleFoundation

The mean of five numbers is 12. Four of them are 10, 15, 9 and 14. Find the fifth.

Challenge

Question 7ChallengeFoundation

The mean of four numbers is 8. A fifth number is added and the mean becomes 9. What number was added?

Question 8ChallengeFoundation

Class A has 20 students with mean score 65. Class B has 30 students with mean score 70. Find the mean score of all 50 students.

Common mistakes

  • Finding the median without ordering the data.
  • Giving the range as "3 to 22" instead of one number.
  • Averaging two means when the groups are different sizes.

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Sources

The questions are our own. The “where it comes up” notes are from each board's published specification, checked on 26 October 2026:

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