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Numeracy Higher June 2023 Unit 1 Q6

WJECHigherCurrent spec7 marksBox Plots

6. 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 grid titled Length of time on each of 200 phone calls, with a Time (seconds) axis 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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