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 11 months 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.
 11 months 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
 10 months 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
 10 months 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
 10 months 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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