Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Handling Data 6
18 practice questions
Practice questions
11–18 of 18
Question 11
2 marks · Normal
Answer and see the solution →Two histograms represent the marks for two different exams, Exam X and Exam Y. The modal class of Exam X is 30–40 marks, while the modal class of Exam Y is 50–60 marks.
Which exam did more students score higher marks in, and how can you tell from the histograms?
Question 12
3 marks · Normal
Answer and see the solution →A grouped frequency table shows the heights (in cm) of a sample of plants:
Height (cm) Frequency 0 < h \leq 10 4 10 < h \leq 20 10 20 < h \leq 40 12 Work out the frequency density for each group.
Question 13
3 marks · Normal
Answer and see the solution →A histogram shows the times taken by 60 runners to complete a race. The modal class interval is 40–50 minutes.
Explain, using evidence from the histogram, how you can estimate the number of runners who finished in less than 40 minutes.
Question 14
3 marks · Normal
Answer and see the solution →The histograms below each show the distribution of the finishing times (in minutes) for two groups, Group P and Group Q, in a 10 km race. Both groups contain exactly 60 runners. Both axes are labelled the same and the scales match.
Histogram distributions for Group P and Group Q Table: Histogram class data for Group P and Group Q Time (min) Frequency density (P) Frequency density (Q) 30 < t ≤ 40 1.8 0.7 40 < t ≤ 50 1.2 2.0 50 < t ≤ 60 0.7 1.3 60 < t ≤ 70 0.3 0.4 (a)[1 mark]Which group had a greater proportion of fast runners? Give a reason for your answer.
(b)[2 marks]Which group had finishing times more spread out? Explain why using the histogram.
Question 15
4 marks · Normal
Answer and see the solution →The histogram below shows the time taken, in minutes, for a group of students to complete a test.
Histogram for test completion times The class widths for all intervals are equal except for the last bar, which covers a wider interval.
(a)[1 mark]Use the histogram to write down the class width for the interval 50 < t ≤ 60.
(b)[1 mark]Work out the frequency (number of students) for the interval 40 < t ≤ 50.
(c)[2 marks]Write down the total number of students in the group.
Question 16
2 marks · Hard
Answer and see the solution →The grouped frequency table below shows the ages of people attending a workshop.
Age (years) Frequency 10 < a \leq 20 8 20 < a \leq 30 16 30 < a \leq 50 12 What is the frequency density for the group 20 < a \leq 30?
Question 17
4 marks · Hard
Answer and see the solution →The histogram shows the times taken by 60 students to finish a computer game.
Calculate the total number of students who finished the game in more than 10 minutes but no more than 25 minutes.
Question 18
4 marks · Hard
Answer and see the solution →The histograms below show the distribution of journey times (in minutes) to school for two local schools, Alpha and Beta. Both schools had the same total number of students surveyed.
Journey Times to School Compare the two distributions. Give two differences and what they show about the journey times for Alpha and Beta.