A sugar factory in Jamaica recorded the processing time (in minutes) for 200 batches of sugar cane. From the cumulative frequency curve, Q1 = 45 minutes and Q3 = 72 minutes. Calculate the interquartile range.

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Question

A sugar factory in Jamaica recorded the processing time (in minutes) for 200 batches of sugar cane. From the cumulative frequency curve, Q1 = 45 minutes and Q3 = 72 minutes. Calculate the interquartile range.

Accepted Answer

27 minutes — Award 1 mark for 27 minutes. Interquartile range = Q3 - Q1 = 72 - 45 = 27 minutes. B incorrectly adds Q1 and Q3. C calculates the average of Q1 and Q3 (which would be the median of the quartiles). D calculates half the IQR.

Answer

117 minutes

Answer

27 minutes

Answer

13.5 minutes

Answer

58.5 minutes

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