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0580/21 Oct/Nov 2024, Question 15: Box-and-Whisker Plots

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 5 marks

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The question, in short

Given five statistics for class P test marks, draw a box-and-whisker plot and compare class P's distribution with class Q's median 49 and interquartile range 35.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 3 marks

Draw a box-and-whisker plot on the 0 to 100 grid using lower quartile 38, median 53, interquartile range 28, range 81 and highest mark 96.

  1. 1Upper quartile = 38 + 28 = 66
  2. 2Lowest mark = 96 − 81 = 15
  3. 3Draw whiskers from 15 to 38 and from 66 to 96, and a box from 38 to 66 with a line at 53

AnswerCorrect box-and-whisker plot L = 15 LQ = 38 Median = 53 UQ = 66, H = 96

Part (b) · 2 marks

Make two comments comparing the distribution of class P marks with class Q, whose median is 49 and interquartile range is 35.

  1. 1Median P = 53 > median Q = 49, so class Q scored fewer marks on average
  2. 2IQR Q = 35 > IQR P = 28, so class Q have a larger spread of marks

AnswerClass Q scored fewer marks on average [as median is lower] Class Q have a larger spread of marks [as IQR is higher]

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Also searched as: 0580/21/O/N/24 · 0580_w24_qp_21 · 0580 w24 21 · question 15.
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