Question 1

Paper 2Easy6 marks

A city council wants to describe the repair times for 240 potholes repaired during April. It selects 12 repair records at random. For these 12 records, the lower quartile is 4 hours and the upper quartile is 8 hours. One recorded repair time is 18 hours.

(a)

State the population and the sample.

[2]
(b)

Calculate the interquartile range and determine whether the 18-hour repair time is an outlier.

[2]
(c)

The maintenance log confirms that this repair took 18 hours because a lane closure delayed the crew. State whether the value should be removed before describing the sample, giving a reason.

[2]

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