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GCSE Maths10 questions

GCSE Maths Foundation: Statistics practice questions

Ten free GCSE Maths Foundation tier questions on mean, median, mode, range, pie charts, frequency tables, scatter graphs and stem-and-leaf diagrams, each with a worked solution. Suitable for AQA, Edexcel and OCR.

Original questions written by Studoli tutors in the style of the GCSE exam. They are not official past questions.

Timed mode

10 questions in 15 minutes, one question at a time. Your answers are marked when you submit or when the time runs out.

  1. Topic: Averages

    1. Find the mean of 4, 7, 9 and 10.

    Solution

    A. 7.5

    • Add them: 4 + 7 + 9 + 10 = 30.
    • Divide by how many there are: 30 ÷ 4 = 7.5.

  2. Topic: Averages

    2. Find the median of 3, 9, 4, 7, 1.

    Solution

    D. 4

    • Put them in order: 1, 3, 4, 7, 9.
    • The middle value is 4.

  3. Topic: Averages

    3. Find the mode of 2, 5, 5, 6, 8, 5, 2.

    Solution

    C. 5

    • The mode is the value that appears most often.
    • 5 appears three times.

  4. Topic: Range

    4. Find the range of 12, 18, 7, 21, 15.

    Solution

    B. 14

    • Range = largest − smallest.
    • 21 − 7 = 14.

  5. Topic: Pie charts

    5. In a class of 30, 10 students chose football. What angle does football get in a pie chart?

    Solution

    A. 120°

    • Each student is 360° ÷ 30 = 12°.
    • 10 × 12 = 120°.

  6. Topic: Frequency tables

    6. In a test, 4 students scored 1, 3 scored 2 and 3 scored 3. Find the mean score.

    Solution

    D. 1.9

    • Total of the scores: 1 × 4 + 2 × 3 + 3 × 3 = 4 + 6 + 9 = 19.
    • Number of students: 4 + 3 + 3 = 10.
    • Mean = 19 ÷ 10 = 1.9.

  7. Topic: Scatter graphs

    7. As hours of revision go up, test scores go up. What type of correlation is this?

    Solution

    C. Positive

    • When both variables increase together, the correlation is positive.

  8. Topic: Averages

    8. Which average is best for data with one very large value?

    Solution

    B. The median

    • One extreme value pulls the mean towards it.
    • The median is the middle value, so it is not affected.

  9. Topic: Stem and leaf

    9. In a stem-and-leaf diagram the key is 3 | 4 = 34. What does 5 | 2 represent?

    Solution

    A. 52

    • The stem gives the tens and the leaf gives the units.
    • 5 | 2 = 52.

  10. Topic: Averages

    10. The mean of five numbers is 8. Four of them are 6, 7, 9 and 10. Find the fifth.

    Solution

    D. 8

    • The total of the five numbers is 5 × 8 = 40.
    • The four known numbers add up to 32.
    • 40 − 32 = 8.
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