Mathematics (AS & A Level) · Feb / March 2018 · Paper 62 · Question 1

There are 900 students in a certain year-group. An identical puzzle is given to each student and the time taken, t minutes, to complete the puzzle is recorded. These times are summarised in the following frequency table. Time taken, t minutes t ≤3 3 < t ≤4 4 < t ≤5 5 < t ≤6 6 < t ≤8 8 < t ≤10 10 < t ≤14 Frequency 120 180 200 160 110 80 50 On the grid, draw a cumulative frequency graph to represent the data. Use your graph to estimate the median time taken by these students to complete the puzzle. [4]

Read automatically from the paper; the printed page above is exact.