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The two boxplots correspond to the service times from two different companies th

ID: 3132756 • Letter: T

Question

The two boxplots correspond to the service times from two different companies that repair air conditioning units. They are drawn on the same scale. The top boxplot corresponds to Qool Air, Inc., and the bottom boxplot corresponds to the Fresh Air company. Which company has less variation in repair times? Which company should have more predictable costs? Choose the correct answer below. Fresh has less variation. Because Fresh has less variation, estimates of repair costs will tend to be more accurate, so the costs will tend to be more predictable. Qool has less variation. Because Qool has less variation, estimates of repair costs will tend to be more accurate, so the costs will tend to be more predictable. Fresh has less variation. Because Fresh has less variation, estimates of repair costs will tend to be less accurate. Thus, Qool will have more predictable costs. Qool has less variation. Because Qool has less variation, estimates of repair costs will tend to be less accurate. Thus, Fresh will have more predictable costs.

Explanation / Answer

Observe the graph :

Qool Air has variation from 60 to 100, where as Fresh Air has variation between 70 to 90.

So Fresh has less variation.

Less Variation means less Standard Deviation and more accuracy, so cost will be more predictable.

So option A is correct.