Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Handling Data 3
18 practice questions
Practice questions
11–18 of 18
Question 11
3 marks · Normal
Answer and see the solution →The table shows the number of seeds in each of 8 apples:
Apple Seeds A 4 B 6 C 6 D 7 E 7 F 8 G 12 H 16 Calculate the range and the inter-quartile range of the number of seeds per apple.
Question 12
4 marks · Normal
Answer and see the solution →The table shows the frequency of scores in a quiz.
Score Frequency 2 3 3 5 4 6 5 4 6 2 (a)[2 marks]Work out the mean score.
(b)[1 mark]Write down the modal score.
(c)[1 mark]Find the range of the scores.
Question 13
4 marks · Normal
Answer and see the solution →A bag contains 6 blue, 3 red, and 1 green bead. One bead is picked at random from the bag.
(a)[1 mark]Write down the probability that the bead picked is blue.
(b)[1 mark]Write down the probability that the bead is not red.
(c)[2 marks]What is the probability that the bead is either red or green?
Question 14
3 marks · Normal
Answer and see the solution →The spinner below shows the possible outcomes when spun.
Spinner outcomes Sector Red Blue Green Frequency 5 3 2 Use the table to write down:
(a)[1 mark]The probability of getting red.
(b)[1 mark]The probability of not getting blue.
(c)[1 mark]The most likely outcome (mode).
Question 15
2 marks · Normal
Answer and see the solution →A class of 20 students is asked if they like maths, science or both. Their responses are shown:
Like maths only Like science only Like both Like neither 7 3 6 4 What is the probability that a student chosen at random likes maths? Give your answer as a fraction.
Question 16
4 marks · Hard
Answer and see the solution →The number of hours spent on homework by a group of nine students in a week are as follows:
Hours spent on homework Student A B C D E F G H I Hours 10 13 9 15 11 20 22 13 12 Calculate the median, lower quartile (Q1), upper quartile (Q3), and inter-quartile range (IQR) for these hours.
(a)[0 marks]Write the values in order before calculation.
(b)[1 mark]Find the median value.
(c)[1 mark]Find the lower quartile (Q1).
(d)[1 mark]Find the upper quartile (Q3).
(e)[1 mark]Calculate the inter-quartile range.
Question 17
4 marks · Hard
Answer and see the solution →The table gives the frequencies of heights (in cm) for a group of sunflowers.
Heights of sunflowers Height (cm) Frequency 40 < h ≤ 60 8 60 < h ≤ 80 17 80 < h ≤ 100 24 100 < h ≤ 120 11 a) Complete the cumulative frequency table. b) On graph paper, draw a cumulative frequency graph using your table (plot cumulative frequency against the upper boundary of each height interval, scale not required). c) Estimate the median and inter-quartile range for the heights of these sunflowers from your graph.
(a)[1 mark]Complete the cumulative frequency table with required totals.
(b)[1 mark]Draw the cumulative frequency graph. Label axes clearly. (You may sketch with reasonable accuracy if graph paper is not available.)
(c)[2 marks]Estimate the median and inter-quartile range from your graph (show clearly how these are found).
Question 18
4 marks · Hard
Answer and see the solution →Two classes record the number of pages read by each student in a week:
Pages read (per student) Class A (pages) 20 21 21 22 22 22 23 23 23 25 26 Pages read (per student) Class B (pages) 4 10 13 16 23 26 31 35 35 37 41 Both classes have the same mean number of pages read. Compare the distribution of the two classes, supporting your answer using appropriate statistical measures.