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GCSE गणित10 प्रश्न

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.

Studoli ट्यूटर द्वारा GCSE परीक्षा की शैली में लिखे मूल प्रश्न। ये आधिकारिक प्रश्न-पत्र नहीं हैं।

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. विषय: Averages

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

    हल

    A. 7.5

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

  2. विषय: Averages

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

    हल

    D. 4

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

  3. विषय: Averages

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

    हल

    C. 5

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

  4. विषय: Range

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

    हल

    B. 14

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

  5. विषय: Pie charts

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

    हल

    A. 120°

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

  6. विषय: Frequency tables

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

    हल

    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. विषय: Scatter graphs

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

    हल

    C. Positive

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

  8. विषय: Averages

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

    हल

    B. The median

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

  9. विषय: Stem and leaf

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

    हल

    A. 52

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

  10. विषय: Averages

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

    हल

    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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