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Mean and median – practice for Years 7–9

Sample questions on Mean and median with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 7–9
Curriculum area
Relationships, functions and data

Question types: Mean and median

Rule: Mean and median

Mean: add up all the numbers and divide by how many there are.

Median: put the numbers in order and take the middle one; with an even count, the mean of the two middle ones.

Example: 3, 16, 17, 18, 19, 19, 26 → the median is 18

Watch out: Look for the median only once the numbers are in order, not in the order given.

Sample questions

  1. Question 1 Easy

    The pupils in a group scored these points in a test: 14, 13, 9, 4. Work out the mean score.

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    Answer: 10

    How it works: (14 + 13 + 9 + 4) ÷ 4 = 40 ÷ 4 = 10

  2. Question 2 Normal

    The pupils in a group scored these points in a test: 19, 13, 5, 10, 2, 25, 1. Find the median.

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    Answer: 10

    How it works: In order: 1, 2, 5, 10, 13, 19, 25; the middle value is 10

  3. Question 3 Hard

    The mean of 6 numbers is 12. 5 of them are 11, 4, 8, 2, 21. What is the remaining number?

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    Answer: 26

    How it works: All the numbers add up to 6 × 12 = 72; 72 − 46 = 26

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