Each of the 70 trainees at a secretarial college was asked to type a copy of a particular document. The times taken are shown, correct to the nearest 0.1 minutes, in the following table.
a. Explain why the interval for the first class has a width of 0.3 minutes.
b. Represent the times taken in a histogram.
c. Estimate, to the nearest second, the upper boundary of the times taken by the fastest 10 typists.
d. It is given that 15 trainees took between 3.15 and b minutes. Calculate an estimate for the value of b when:
i. b > 3.15
ii. b < 3.15.
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