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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter

Handling Data 4

18 practice questions

Start practising (3 questions)

Practice questions

1–3 of 3 · Hard

  1. Question 1

    5 marks · Hard

    A club has 80 members. The table summarizes the ages of its members:

    Age (years)Number of members
    10–1923
    20–3418
    35–4925
    50–649
    65–805

    The mid-interval values for the age groups are: 14.5, 27, 42, 57, and 72.5 respectively.

    (a)

    Estimate the mean age of the members. Give your answer to 1 decimal place.

    [3 marks]
    (b)

    A member is chosen at random. Estimate the probability that this member is younger than 35 years old.

    [2 marks]
    Answer and see the solution →

  2. Question 2

    6 marks · Hard

    A six-sided die is rolled 48 times. The frequencies for each face are shown below:

    Face123456
    Frequency10912674

    (a) Calculate the experimental probability of rolling a 5.

    (b) If the die is fair, calculate the expected frequency of rolling a 5 in 48 throws.

    (c) Based on the table, discuss whether the die is likely to be fair, giving a reason for your answer.

    (a)

    Calculate the experimental probability of rolling a 5.

    [2 marks]
    (b)

    If the die is fair, calculate the expected frequency of rolling a 5 in 48 throws.

    [2 marks]
    (c)

    Based on the frequencies in the table, discuss whether the die is likely to be fair, giving a reason for your answer.

    [2 marks]
    Answer and see the solution →

  3. Question 3

    7 marks · Hard

    The Venn diagram below shows the results of a survey of 100 students about whether they prefer football (F), hockey (H), or tennis (T).

    Geometry diagram with points A, B, C20658473?
    Venn diagram of student sports preferences

    The numbers indicate how many students are in each region. The '?' represents the number of students who did not prefer any of these sports.

    (a)

    Calculate the value of '?'.

    [1 mark]
    (b)

    Find the probability that a randomly selected student preferred at least two of the sports.

    [2 marks]
    (c)

    Given that a randomly selected student preferred hockey, find the probability that the student also preferred football.

    [2 marks]
    (d)

    A student is chosen at random. What is the probability that this student preferred exactly one sport?

    [2 marks]
    Answer and see the solution →