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Nov 2022 p52 q4
2410

The times taken, in minutes, to complete a word processing task by 250 employees at a particular company are summarised in the table.

Time taken \( t \) (minutes) \( 0 \le t \lt 20 \) \( 20 \le t \lt 40 \) \( 40 \le t \lt 50 \) \( 50 \le t \lt 60 \) \( 60 \le t \lt 100 \)
Frequency 32 46 96 52 24

(a) Draw a histogram to represent this information.

From the data, the estimate of the mean time taken by these 250 employees is \( 43.2 \) minutes.

(b) Calculate an estimate for the standard deviation of these times.

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