Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The table shows the times, in minutes, that $250$ employees at a particular company took to finish a word processing task: Time taken ($t$ minutes): $0 \leq t < 20$, $20 \leq t < 40$, $40 \leq t < 50$, $50 \leq t < 60$, $60 \leq t < 100$. Frequencies: $32, 46, 96, 52, 24$.
(a)[4]

Draw a histogram that displays this information.

(b)[3]

Using the data, the estimate of the mean time taken by these $250$ employees is $43.2$ minutes. Calculate an estimate for the standard deviation of these times.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Working out at least four correct frequency densities

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