Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Handling Data 2
18 practice questions
Practice questions
1–4 of 4 · Hard
Question 1
5 marks · Hard
Answer and see the solution →The frequency table shows the lengths, in cm, of a sample of 40 pencils measured in a classroom.
Lengths of pencils Length (L, cm) Frequency 10 ≤ L < 12 5 12 ≤ L < 14 12 14 ≤ L < 16 17 16 ≤ L ≤ 18 6 (a)[3 marks]Estimate the mean length of the pencils. Give your answer to 2 decimal places.
(b)[1 mark]State the modal class.
(c)[1 mark]Find the class interval that contains the median length.
Question 2
5 marks · Hard
Answer and see the solution →The table shows the results of a survey into how long 60 customers spent in a shop.
Customer times in a shop Time (t, min) Frequency (f) 0 ≤ t < 10 9 10 ≤ t < 20 14 20 ≤ t < 30 22 30 ≤ t < 40 11 40 ≤ t ≤ 50 4 (a)[3 marks]Estimate the percentage of customers who spent at least 20 minutes in the shop.
(b)[1 mark]Find the modal class of the time spent.
(c)[1 mark]Calculate an estimate for the mean time spent in the shop. Give your answer to 2 decimal places.
Question 3
5 marks · Hard
Answer and see the solution →In a board game, two fair eight-sided dice are thrown, one after the other. Each die is numbered from 1 to 8.
(a)[2 marks]List all the possible outcomes if the order is important for the combination (show your working).
(b)[1 mark]What is the probability that both dice show the same number?
(c)[2 marks]Calculate the probability that the sum of the two dice is 10.
Question 4
5 marks · Hard
Answer and see the solution →A bag contains 4 white balls and 5 black balls. Two balls are drawn one after another without replacement.
(a)[2 marks]Draw a tree diagram to show all the possible outcomes of selecting each ball in order of being drawn (white/black).
(b)[2 marks]Calculate the probability that both balls are the same colour.
(c)[1 mark]What is the probability that at least one white ball is drawn?