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3 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2013 · Paper 2 · Question 2(b)(ii)d)

A stem and leaf diagram displays the waiting times in minutes of patients at a medical centre.

On the graph paper provided, draw the box and whiskers diagram to show this data.

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

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Other parts of this question

  1. 2(a)(i)State the boundaries of the modal class.[2 marks]
  2. 2(a)(ii)Approximately what percentage of students in the class is taller than 67 inches?[3 marks]
  3. 2(a)(iii)Calculate the mean height of the students in the class.[4 marks]
  4. 2(a)(iv)Calculate the standard deviation of the heights of the students in the class.[4 marks]
  5. 2(b)(i)What advantage does preparing a stem and leaf diagram have over grouping a data set using a grouped frequency distribution?[1 mark]
  6. 2(b)(ii)a)How many patients were in the sample?[1 mark]
  7. 2(b)(ii)b)Determine the median waiting time for the sample.[2 marks]
  8. 2(b)(ii)c)Calculate the inter-quartile range for the data.[3 marks]
  9. 2(b)(ii)e)Describe the shape of the distribution of the data.[2 marks]

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