Quelpr
3 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2021 · Paper 2 · Question 1(c)(iv)

A survey records the time taken (in minutes) by a group of children to complete a reading assignment.

Using your cumulative frequency curve, estimate the interquartile range.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 1(a)State ONE similarity and ONE difference between a stratified random sample and a quota sample.[2 marks]
  2. 1(b)(i)Identify the sampling method T: selecting equal numbers of male and female contestants, even though there are twice as many female applicants as male…[1 mark]
  3. 1(b)(ii)Identify the sampling method U: grouping applicants by age and selecting contestants at random from within each group in proportion to the number of applicants…[1 mark]
  4. 1(b)(iii)Identify the sampling method V: assigning a unique number from 001 to 500 to each applicant and using random numbers to select the contestants.[1 mark]
  5. 1(b)(iv)Identify the sampling method W: selecting a contestant randomly from among the first k applicants on a numbered list, then selecting every kth applicant on the…[1 mark]
  6. 1(b)(v)Identify by letter the sampling method among T, U, V, and W that would result in a sample that is MOST representative of the 500 applicants.[1 mark]
  7. 1(b)(vi)If sampling method U is used, 4 of the 20 contestants selected from the 500 applicants are over 50 years old. Determine the total number of applicants who are…[2 marks]
  8. 1(b)(vii)Using a random sampling numbers table, starting at row 1, column 3 with 36 and moving from left to right along the row, list the first FIVE numbers selected to…[3 marks]
  9. 1(b)(viii)Calculate the value of k in sampling method W when selecting 20 contestants from 500 applicants.[2 marks]
  10. 1(c)(i)Complete the cumulative frequency row in the provided table.[1 mark]
  11. 1(c)(ii)On the grid provided, draw a cumulative frequency curve to represent the data in the table, using a scale of 2 cm to represent 10 minutes on the x-axis and 2…[4 marks]
  12. 1(c)(iii)Using your cumulative frequency curve, estimate the median time taken to complete the reading assignment.[1 mark]
  13. 1(c)(v)Using your cumulative frequency curve, estimate the proportion of children who took less than 35 minutes to complete the reading assignment.[2 marks]

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