quiz_01_09feb2011_solution

quiz_01_09feb2011_solution - Name Assigned TF and Section...

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Name: Assigned TF and Section time: Statistics 100 Quiz 1 Wednesday 9 February 2011 This quiz has three questions and is worth 25 points; two of the questions are on the second page. The histogram below shows the distribution of the carbohydrates (measured in grams) per 12 ounces of beer for the 84 most popular beers in the United States. To the right of the histogram is the 5 number summary for the distribution. Use the histogram and/or the 5-number summary to solve the questions. 0 .1 .2 .3 Fraction 0 5 10 15 20 25 Carbohydrates Five-Number Summary Minimum 2.6 Q1 7.3 Median 12 Q3 13.7 Maximum 23.9 1. Does this distribution contain outliers? Justify your answer. If it does contain large outliers, list one large outlier; do the same for any small outliers. [Answer] An outlier is any data point that is either larger than Q3 + 1.5 · IQR or smaller than Q1 - 1.5 · IQR. In our case: IQR = Q 3 - Q 1 = 13 . 7 - 7 . 3 = 6 . 4 1 . 5 · IQR = 1 . 5 · 6 . 4 = 9 . 6 So any data point outside the following interval will be an outlier:
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This note was uploaded on 03/14/2012 for the course STATS 100 taught by Professor Grandal during the Spring '11 term at Harvard.

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quiz_01_09feb2011_solution - Name Assigned TF and Section...

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