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anonymous
 2 years ago
Weights of male mountain lions follow the normal distribution with a median of 150 pounds and an interquartile range of 8.2 pounds. Find the 75th percentile of the weights.
anonymous
 2 years ago
Weights of male mountain lions follow the normal distribution with a median of 150 pounds and an interquartile range of 8.2 pounds. Find the 75th percentile of the weights.

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kirbykirby
 2 years ago
Best ResponseYou've already chosen the best response.0In a normal distribution, the median = mean. Also, The mean = 50th percentile ("Q2") The interquartile range = Q3  Q1 = 75th percentile  25th percentile. Now, since the normal distribution is symmetric, half your data is below the mean, and half is above the mean. So, you proportionately find 8.2/2 = 4.1 pounds being Q3  Q2 , and Q2  Q1 Schematically: dw:1397373422765:dw

kirbykirby
 2 years ago
Best ResponseYou've already chosen the best response.0Thus I hope you can see that Q3, the 75th percentile, is 150+4.1 = 154.1

kirbykirby
 2 years ago
Best ResponseYou've already chosen the best response.0Maybe this picture is more clear: http://en.wikipedia.org/wiki/File:Boxplot_vs_PDF.svg
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