Question 1

Paper 1, no calculatorMedium6 marks

A courier company records the delivery times for 40 trips on each of two routes. Figure 1 shows box-and-whisker diagrams for the two sets of times. For this comparison, use the median to represent typical delivery time and the interquartile range (IQR) to represent consistency.

0510152025303540Route BRoute ADelivery time (minutes)
(a)

State the median delivery time for each route.

[2]
(b)

Calculate the IQR for each route.

[2]
(c)

Recommend a route if the company wants both a shorter typical delivery time and more consistent delivery times. Justify your recommendation using the medians and IQRs.

[2]

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