Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The times needed by 200 players to complete a computer puzzle are set out in the table below: Time ($t$ seconds): $0 \leq t < 10$, $10 \leq t < 20$, $20 \leq t < 40$, $40 \leq t < 60$, $60 \leq t < 100$. Number of players: $16$, $54$, $78$, $32$, $20$.
(a)[4]

Draw a histogram to show this information.

(b)[2]

Calculate an estimate of the mean time taken by these 200 players.

(c)[2]

Find the greatest possible value of the interquartile range of these times.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: At least four frequency densities correctly worked out

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