11+ Maths

Averages & Data

12 free practice questions with explanations

PassNova has 12 free 11+ Maths practice questions on Averages & Data, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.

Sample questions

Averages & Data: example questions & answers

12 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.

  1. What is the mean of 4, 7, 9, 8?

    • A28
    • B5
    • C8
    • D7

    Answer: Add them up: 28. There are 4 numbers, so the mean is 28 ÷ 4 = 7.

  2. What is the mean of 12, 15, 9, 20?

    • A14
    • B56
    • C11
    • D15

    Answer: Add them up: 56. There are 4 numbers, so the mean is 56 ÷ 4 = 14.

  3. What is the mean of 3, 6, 6, 9, 11?

    • A35
    • B8
    • C7
    • D6

    Answer: Add them up: 35. There are 5 numbers, so the mean is 35 ÷ 5 = 7.

  4. What is the mean of 22, 18, 25, 15?

    • A80
    • B10
    • C22
    • D20

    Answer: Add them up: 80. There are 4 numbers, so the mean is 80 ÷ 4 = 20.

  5. What is the mean of 5, 8, 11, 14, 12?

    • A50
    • B10
    • C9
    • D11

    Answer: Add them up: 50. There are 5 numbers, so the mean is 50 ÷ 5 = 10.

  6. What is the median of 3, 7, 9, 11, 15?

    • A12
    • B9
    • C3
    • D15

    Answer: Put them in order: 3, 7, 9, 11, 15. The median is the middle one, 9.

  7. What is the median of 2, 4, 6, 8, 10, 12?

    • A10
    • B7
    • C2
    • D12

    Answer: Put them in order: 2, 4, 6, 8, 10, 12. The median is the middle one, 7.

  8. What is the median of 21, 14, 17, 19, 25?

    • A19.2
    • B11
    • C19
    • D14

    Answer: Put them in order: 14, 17, 19, 21, 25. The median is the middle one, 19.

  9. What is the median of 6, 6, 8, 12, 14?

    • A9.2
    • B6
    • C14
    • D8

    Answer: Put them in order: 6, 6, 8, 12, 14. The median is the middle one, 8.

  10. What is the range of 4, 9, 2, 11?

    • A9
    • B11
    • C2
    • D6.5

    Answer: The range is the biggest minus the smallest: 11 − 2 = 9.

  11. What is the range of 15, 6, 21, 9?

    • A15
    • B21
    • C6
    • D12.75

    Answer: The range is the biggest minus the smallest: 21 − 6 = 15.

  12. What is the range of 30, 12, 25, 18?

    • A30
    • B12
    • C18
    • D21.25

    Answer: The range is the biggest minus the smallest: 30 − 12 = 18.

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