Exam-Style Question on Cumulative Frequency
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 519. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.
The grouped frequency table gives information about the times, in minutes, that 90 commuters take to get home from work.
|Time (t minutes)||Frequency|
|\(0 \lt t \le 10\)||6|
|\(10 \lt t \le 20\)||32|
|\(20 \lt t \le 30\)||22|
|\(30 \lt t \le 40\)||10|
|\(40 \lt t \le 50\)||10|
|\(50 \lt t \le 60\)||7|
|\(60 \lt t \le 70\)||3|
(a) Complete the cumulative frequency table.
|Time (t minutes)||Cumulative frequency|
|\(0 \lt t \le 10\)|
|\(0 \lt t \le 20\)|
|\(0 \lt t \le 30\)|
|\(0 \lt t \le 40\)|
|\(0 \lt t \le 50\)|
|\(0 \lt t \le 60\)|
|\(0 \lt t \le 70\)|
(b) On the grid, draw the cumulative frequency graph for this information.
(c) Use your graph to find an estimate for the percentage of these commuters who take more than 45 minutes to get home from work.
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