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3 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 2(c)(v)

A cumulative distribution curve on Graph Sheet 1 shows the times taken by competitors in a road walk competition.

Use the graph to determine the value of x for which 60 per cent of the walkers took more than x minutes to complete the race.

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Other parts of this question

  1. 2(a)(i)The 300 members of the sports club constitute a ________________________.[1 mark]
  2. 2(a)(ii)The conducting of a poll on all the club members is known as a _____________________.[1 mark]
  3. 2(a)(iii)The 25 members from which data were collected are known as a _____________________.[1 mark]
  4. 2(a)(iv)The average age, 24, of the 25 members is known as a _____________________.[1 mark]
  5. 2(a)(v)The average age, 31, of the entire club is known as a ________________________.[1 mark]
  6. 2(b)(i)a)Determine the mode of the distribution.[1 mark]
  7. 2(b)(i)b)Determine the median of the distribution.[1 mark]
  8. 2(b)(ii)a)Calculate the mean number of times that persons used their cell phones.[3 marks]
  9. 2(b)(ii)b)Calculate the standard deviation of the number of times that persons used their cell phones.[3 marks]
  10. 2(b)(iii)Describe the shape of the distribution.[1 mark]
  11. 2(c)(i)Use the graph to determine the number of walkers that took part in the race.[1 mark]
  12. 2(c)(ii)Use the graph to determine the number of walkers that took less than 25 minutes to complete the race.[2 marks]
  13. 2(c)(iii)Use the graph to determine the percentage of walkers that took longer than 55 minutes to complete the race.[2 marks]
  14. 2(c)(iv)Use the graph to determine an approximate value of the inter-quartile range of the times that walkers took to complete the race.[3 marks]

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