Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Handling Data 2
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
3 marks · Normal
Answer and see the solution →A botanist records the heights (h, in cm) of a random sample of ferns as shown in the grouped frequency table below:
Heights of ferns Height range (cm) Frequency 10 ≤ h < 15 4 15 ≤ h < 20 6 20 ≤ h < 25 11 25 ≤ h < 30 5 30 ≤ h < 35 2 Estimate the mean height of the ferns. Show your working.
Question 2
4 marks · Normal
Answer and see the solution →The frequency table shows the weights of 30 small packages.
(a)Weights of Packages Weight (w, g) Frequency 20 ≤ w < 30 8 30 ≤ w < 40 15 40 ≤ w < 50 7 (i)[1 mark]Write down the modal class.
(ii)[2 marks]Calculate an estimate of the mean weight of these packages.
(iii)[1 mark]Find the class where the median weight lies.
Question 3
2 marks · Normal
Answer and see the solution →A spinner is spun twice. The outcomes for each spin are shown below:
First and Second Spin Outcomes First spin Second spin A A A B B A B B List all the possible outcomes of the two spins.
Question 4
2 marks · Normal
Answer and see the solution →In a class, the numbers of pets owned by each of 12 students are found:
0, 1, 0, 2, 3, 2, 1, 2, 2, 1, 3, 2
Write down the mode of the data.
Question 5
3 marks · Normal
Answer and see the solution →The table shows the time, t (minutes), several students spent revising for a test.
Revision Times Time (t, min) Frequency 0 ≤ t < 10 2 10 ≤ t < 20 5 20 ≤ t < 30 8 30 ≤ t < 40 3 Draw a frequency polygon using this data. Plot the mid-points of each group on the horizontal axis and frequency on the vertical axis.
Question 6
2 marks · Normal
Answer and see the solution →A bag contains 2 red balls and 3 blue balls. One ball is chosen at random, replaced, and another is chosen.
What is the probability that both balls are red?
Question 7
3 marks · Normal
Answer and see the solution →A bag contains 2 yellow counters and 3 green counters. One counter is taken at random, not replaced, and then a second counter is taken at random. The counters are identical except for colour.
(a)[1 mark]List all the possible ordered pairs of counters that could be taken from the bag.
(b)[2 marks]What is the probability that both counters taken are green?
Question 8
3 marks · Normal
Answer and see the solution →The grouped frequency table below shows the weights of apples, in grams, in a crate.
Weights of Apples in a Crate Weight (w, g) Frequency 60 \leq w < 80 7 80 \leq w < 100 13 100 \leq w < 120 18 120 \leq w < 140 12 (a)[1 mark]Write down the modal class of apple weights from the table.
(b)[1 mark]State the class interval that contains the median weight.
(c)[1 mark]Estimate the mean weight of the apples. Give your answer to 1 decimal place.