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2 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2014 · Paper 2 · Question 1(f)(ii)

A cumulative frequency curve depicts the time spent by 50 shoppers in the Men's Clothing Department.

60% of the shoppers spent t minutes or less in the Boutique. Find the value of t.

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Other parts of this question

  1. 1(a)(i)State what the value 15 in the 'number of employees' row represents.[1 mark]
  2. 1(a)(ii)State what the value 3 in the 'average weekly sales' row represents.[1 mark]
  3. 1(b)(i)State the sampling method used when all employee names are put into a box and 20 are selected.[1 mark]
  4. 1(b)(ii)State the sampling method used when names are listed alphabetically and, starting from the third name, every fifth name is drawn until 20 names are selected.[1 mark]
  5. 1(b)(iii)State the sampling method used when a number of employees are randomly selected from each department proportional to its size to obtain 20 employees.[1 mark]
  6. 1(c)Identify which sampling method from 1(b)(i), (ii), and (iii) provides a sample that is most representative of the employees across all departments.[1 mark]
  7. 1(d)Using the proportional allocation method from 1(b)(iii), calculate the number of employees in the sample of 20 drawn from the Jewellery and Perfume department.[3 marks]
  8. 1(e)(i)Calculate the average weekly sales for the entire store.[3 marks]
  9. 1(e)(ii)Calculate the standard deviation of the sales for the entire store.[3 marks]
  10. 1(f)(i)Determine the number of shoppers who spent between 30 and 60 minutes in the Boutique.[3 marks]
  11. 1(f)(iii)Estimate the median time spent in the Boutique.[2 marks]
  12. 1(f)(iv)Using the provided graph sheet insert, construct a box-and-whisker diagram representing the cumulative frequency distribution.[3 marks]

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