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Use the grid to sketch a cumulative frequency graph for the data. From your graph, estimate the median time taken by these students to complete the puzzle.
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
There are 900 students in one year group. The same puzzle is issued to every student, and the time taken, $t$ minutes, to finish it is recorded. The results are arranged in the frequency table below: Time taken, $t$ minutes: $t \leq 3$, $3 < t \leq 4$, $4 < t \leq 5$, $5 < t \leq 6$, $6 < t \leq 8$, $8 < t \leq 10$, $10 < t \leq 14$ with matching frequencies $120$, $180$, $200$, $160$, $110$, $80$, $50$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Try to plot the cumulative frequencies at the upper class boundaries and connect each point correctly on an increasing cumulative frequency graph, with the axes labelled correctly and beginning at $(0,0)$.” …
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