Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

On one day, a group of 80 people each note how long the trip from home to work takes. The cumulative frequency diagram displays the results.
(a(i))[1]

Use the cumulative frequency diagram to obtain an estimate of the median.

(a(ii))[2]

Use the cumulative frequency diagram to obtain an estimate of the interquartile range.

(a(iii))[2]

Use the cumulative frequency diagram to determine how many people had a journey time of $40$ minutes or more.

(b)[1]

Each of the 80 people also note their journey time from work to home on that day. The table shows the results. Jay says: 'The journey times from home to work are more consistent than the journey times from work to home.' Is Jay correct? Explain how you decide.

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