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O Level & A Level Mathematics (Cambridge)

O Level Mathematics — Statistics and Probability, Set 1

Take the O Level Mathematics — Statistics and Probability, Set 1: 20 multiple-choice questions (30 minutes) with instant scoring and a full answer review.…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. What is the mean of 4, 7, 7, 9 and 13?

    • A. 8 ✓
    • B. 40
    • C. 7
    • D. 9

    Answer: A. 8

    Explanation: 40 ÷ 5 = 8.

  2. Q2. What is the mode of 4, 7, 7, 9 and 13?

    • A. 13
    • B. 4
    • C. 7 ✓
    • D. 8

    Answer: C. 7

    Explanation: 7 appears most often.

  3. Q3. What is the median of 2, 5, 9 and 11?

    • A. 5
    • B. 6.75
    • C. 7 ✓
    • D. 9

    Answer: C. 7

    Explanation: The middle two values are 5 and 9; their mean is 7.

  4. Q4. Scores of 1, 2 and 3 have frequencies 3, 5 and 2. What is the mean score?

    • A. 6.3
    • B. 2
    • C. 2.1
    • D. 1.9 ✓

    Answer: D. 1.9

    Explanation: (1×3 + 2×5 + 3×2) ÷ 10 = 19/10 = 1.9.

  5. Q5. P(A) = 0.35. What is P(not A)?

    • A. 0.65 ✓
    • B. 1.35
    • C. 0.7
    • D. 0.35

    Answer: A. 0.65

    Explanation: P(not A) = 1 − 0.35 = 0.65.

The other 15 questions

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  1. Q6. Two fair coins are tossed. What is the probability of two heads?

    • A. 1/2
    • B. 1/4
    • C. 1/3
    • D. 3/4

  2. Q7. Two fair dice are rolled. What is the probability that the total is 7?

    • A. 1/6
    • B. 7/36
    • C. 1/12
    • D. 1/36

  3. Q8. A bag has 4 red and 6 blue balls. Two are taken without replacement. What is the probability that both are red?

    • A. 2/5
    • B. 2/15
    • C. 4/25
    • D. 1/5

  4. Q9. The same bag (4 red, 6 blue). Two balls are taken with replacement. What is the probability that both are red?

    • A. 0.24
    • B. 0.13
    • C. 0.4
    • D. 0.16

  5. Q10. A and B are mutually exclusive, with P(A) = 0.3 and P(B) = 0.45. Find P(A or B).

    • A. 0.135
    • B. 0.25
    • C. 0.615
    • D. 0.75

  6. Q11. A and B are independent, with P(A) = 0.5 and P(B) = 0.4. Find P(A and B).

    • A. 0.2
    • B. 0.9
    • C. 0.1
    • D. 0.45

  7. Q12. The probability of an event is 0.15. How many times would you expect it in 200 trials?

    • A. 20
    • B. 30
    • C. 15
    • D. 85

  8. Q13. 18 of 120 students walk to school. What angle represents them on a pie chart?

    • A. 36°
    • B. 15°
    • C. 18°
    • D. 54°

  9. Q14. A class from 10 to 30 has frequency 50. What is its frequency density?

    • A. 50
    • B. 1.67
    • C. 2.5
    • D. 5

  10. Q15. A cumulative frequency graph shows 80 values. At what cumulative frequency do you read off the median?

    • A. 60
    • B. 40
    • C. 80
    • D. 20

  11. Q16. The lower quartile is 12 and the upper quartile is 27. What is the interquartile range?

    • A. 19.5
    • B. 15
    • C. 39
    • D. 12

  12. Q17. What is the range of 3, 15, 8 and 22?

    • A. 19
    • B. 7
    • C. 22
    • D. 12

  13. Q18. A scatter diagram shows that students who study more hours tend to score higher. What type of correlation is this?

    • A. No correlation
    • B. Negative correlation
    • C. Positive correlation
    • D. Perfect negative correlation

  14. Q19. A data set contains an extreme value. Which average is usually the most suitable?

    • A. Range
    • B. Mean
    • C. Median
    • D. Mode

  15. Q20. A die shows a six 36 times in 120 rolls. What is the relative frequency of a six?

    • A. 0.36
    • B. 1/6
    • C. 0.12
    • D. 0.3