quiz_1_solutions

quiz_1_solutions - Page 1 of 2 Name: 2. Each bin on the...

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Name: Assigned TF and Section time: Statistics 100 Quiz 1 Wednesday 8 February 2012 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 average age at first marriage for women in 171 countries. To the right of the histogram is the 5 number summary for the distribution. 0 .05 .1 .15 Fraction 15 20 25 30 35 age_marriage Five Number Summary Minimum 17.6 Q1 21.8 Median 23.6 Q3 27.5 Maximum 33.3 1. I found it striking that in Martinique, the average age at marriage for women is 33.3 years. Sweden is close behind; the average age at first marriage for Swedish women is 32.4 years. Are either of these two values outliers in this distribution? Justify your answer. [Answer] To check whether either of those values is an outlier, we just need to see if they are larger than Q 3 + 1 . 5 · IQR . In this case, IQR = Q 3 - Q 1 = 27 . 5 - 21 . 8 = 5 . 7 1 . 5 · IQR = 1 . 5 · 5 . 7 = 8 . 55 Q 3 + 1 . 5 · IQR = 27 . 5 + 8 . 55 = 36 . 05 Therefore, neither of these values are outliers in this distribution.
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Unformatted text preview: Page 1 of 2 Name: 2. Each bin on the histogram represents a 1-year age range: the rst bin to the left contains ages between 17 and 18, the second between 18 and 19, etc. In what fraction of the countries do women marry for the rst time between the ages 22 to 24? Your answer can be approximate. [Answer] Adding together the heights of the 6 th and 7 th bins, corresponding to the range of ages between 22 and 24, the fraction of countries is approximately 0 . 15 + 0 . 125 = 0 . 275. That is, women marry for the rst time between the ages of 22 and 24 in approximately 27 . 5% of the countries. 3. Sketch the boxplot for these data. Your plot does not need to be artistically skilled, but the key values of the boxplot on the vertical axis should be readable and correspond to the key features of the plot. [Answer] 15 20 25 30 35 age_marriage Maximum 33.3 Q3 27.5 Median 23.6 Q1 21.8 Minimum 17.6 Page 2 of 2...
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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_1_solutions - Page 1 of 2 Name: 2. Each bin on the...

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