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Posts: 268
2 weeks ago
Auto insurance The Insurance Institute for Highway Safety publishes ratings for all models of vehicles to compare the relative risk of payouts. 100 is the mean rating for all vehicles. A rating of 122 means the vehicle is 22% worse than average. The table shows the summary statistics for the collision ratings of 27 midsize cars.

a. Were any of the ratings outliers? Show how you made your decision.
b. A histogram of the data is shown. Is it more appropriate to use the mean and standard deviation, or the median and IQR to describe these data? Explain.
Textbook 

Stats: Modeling the World


Edition: 4th
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2 weeks ago
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a. Yes. IQR = 122 – 99 = 23. The upper fence for outliers is one and a half IQR's above the third quartile, or 122 + 1.5(23) = 156.5, and the lower fence is 99 – 1.5(23) = 64.5. The maximum of 173 and the minimum of 57 are both outside these fences, so there is at least one outlier on each end.
b. The distribution is symmetric, but the existence of outliers means the median and IQR are a better choice.
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2 weeks ago
Thank you for answering so quickly
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2 weeks ago
Was feeling bored, my pleasure Grinning Face with Smiling Eyes
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