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4 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2 · Question 2(a)

Daily commute times x (in minutes) for 156 employees at a workplace are grouped into a frequency distribution.

Construct the cumulative distribution table for the given data.

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Other parts of this question

  1. 2(b)On the provided answer graph sheet, plot the cumulative frequency curve representing the cumulative distribution table.[4 marks]
  2. 2(c)(i)Use the cumulative frequency curve to estimate the number of people whose commute time is under 35 minutes.[2 marks]
  3. 2(c)(ii)Use the cumulative frequency curve to estimate the median commuting time.[2 marks]
  4. 2(c)(iii)Use the cumulative frequency curve to estimate the interquartile range of the commute times.[3 marks]
  5. 2(d)Construct a box-and-whisker plot displaying the commute times data.[3 marks]
  6. 2(e)Calculate an estimate of the mean daily commute time.[5 marks]
  7. 2(f)State the shape of the distribution of the commute times.[2 marks]

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