Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The travel times, $t$ minutes, for 300 students going to Hollowton College have been recorded. The data are summarised in the table: Time ($t$ minutes): $t \leq 10$, $t \leq 20$, $t \leq 30$, $t \leq 40$, $t \leq 60$, $t \leq 90$; Cumulative frequency: 34, 86, 142, 208, 265, 300.
(a)[2]
Use the grid to draw a cumulative frequency graph for this information.
(b)[2]
120 students take more than $k$ minutes to travel to college. Use your graph to estimate $k$.
(c)[6]
Calculate estimates for the mean and standard deviation of the times taken by the 300 students to travel to college.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A cumulative frequency graph with a suitable scale and axes, together with at least five accurately plotted correct points.” …