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9709 P53 - Nov 2021 - Q3
2418

The times taken, in minutes, by 360 employees at a large company to travel from home to work are summarised in the following table.

Time \( t \) (minutes) \( 0 \le t < 5 \) \( 5 \le t < 10 \) \( 10 \le t < 20 \) \( 20 \le t < 30 \) \( 30 \le t < 50 \)
Frequency 23 102 135 76 24

(a) Draw a histogram to represent this information.

(b) Calculate an estimate of the mean time taken by an employee to travel to work.

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