Mathematics 0580 · IGCSE · Cumulative frequency diagrams
Cumulative frequency diagrams — practice question
The table records the time taken by each of 90 cars to finish one lap of a race track.
Time (t seconds): 70 < t \leq 71, 71 < t \leq 72, 72 < t \leq 73, 73 < t \leq 74, 74 < t \leq 75
Frequency: 17, 24, 21, 18, 10
(a)[1]
State the modal time interval.
(b)[4]
Calculate an estimated mean time.
(c(i))[2]
Fill in the cumulative frequency table.
(c(ii))[3]
Use the grid to draw a cumulative frequency diagram for this information.
(c(iii))[1]
Calculate the median time.
(c(iv))[2]
Calculate the inter-quartile range.
(d)[4]
Calculate the upper bound of the car's average speed. Give your answer in kilometres per hour.
Worked solution & mark scheme
This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The modal interval is $71 \le t \le 72$.” …