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3 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2022 · Paper 2 · Question 2(b)(iv)

A stem-and-leaf plot gives scores of several students in a mathematics exam out of 80.

Construct a box-and-whisker diagram to represent the data in the stem-and-leaf plot.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

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Other parts of this question

  1. 2(a)(i)Complete the cumulative frequency row in the table provided.[4 marks]
  2. 2(a)(ii)On the grid provided on page 9, draw the cumulative frequency curve to represent the information in the table.[5 marks]
  3. 2(a)(iii)Determine the number of candidates who failed the exam if the pass mark was 60. You must show lines on the cumulative frequency curve drawn in (a)(ii).[2 marks]
  4. 2(a)(iv)Determine the minimum mark required to score a grade A if 10 candidates earned A's in the examination. You must show lines on the cumulative frequency curve…[3 marks]
  5. 2(a)(v)Calculate the mean score.[3 marks]
  6. 2(b)(i)Determine the median score.[1 mark]
  7. 2(b)(ii)Determine how many students scored more than 60.[1 mark]
  8. 2(b)(iii)Calculate the interquartile range.[3 marks]

More practice: the rest of this paper · more Data Analysis questions · all CAPE Applied Mathematics Unit 1 past papers