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Numeracy Intermediate June 2023 Unit 1 Q13

WJECIntermediateCurrent spec7 marksAverages (including IQR)Box Plots

13. Dafydd works in a call centre.
On Monday, he made 200 phone calls.
He recorded the length of time he spent on each of these phone calls.

Dafydd noted the following about the times spent on each phone call.

  • The greatest time was 2 minutes 10 seconds.
  • The range of the times was 2 minutes.
  • The median time was 84 seconds.
  • The upper quartile was 108 seconds.
  • The interquartile range was 68 seconds.
(a) Use the graph paper to draw a box-and-whisker diagram to represent Dafydd’s data. [4]
Blank graph paper titled Length of time on each of 200 phone calls, with a horizontal axis Time (seconds) from 0 to 140
(b) Dafydd was set a target.
He had to complete half of his phone calls in less than 1 minute 30 seconds each.
By how many seconds did Dafydd beat this target?
Circle your answer. [1]

4 seconds     6 seconds     10 seconds     12 seconds     18 seconds

(c) On Monday, how many of Dafydd’s phone calls lasted less than 108 seconds? [2]

…………… phone calls

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