# Chapter 1. The Five-number Summary and Boxplots

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0:32

### Question 1.1

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Correct. The median is the middle value of the five-number summary, not the mean.
Incorrect. The median is the middle value of the five-number summary, not the mean.
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1:19

### Question 1.2

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Correct. For symmetric data, the distance between minimum and the first quartile will be about the same as the distance between the third quartile and the maximum. And the distance between the first quartile and the median and the median and the third quartile will be about the same. But all the distances do not have to be the same for symmetric data.
Incorrect. For symmetric data, the distance between minimum and the first quartile will be about the same as the distance between the third quartile and the maximum. And the distance between the first quartile and the median and the median and the third quartile will be about the same. But all the distances do not have to be the same for symmetric data.
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2:49

### Question 1.3

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Correct. This is a correct statement.
Incorrect. This is a correct statement.
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3:44

### Question 1.4

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Correct. This is a correct statement.
Incorrect. This is a correct statement.
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### Question 1.5

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Correct. A box spans from the first quartile to the third quartile in a boxplot.
Incorrect. A box spans from the first quartile to the third quartile in a boxplot.
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### Question 1.6

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Correct. This is a correct statement.
Incorrect. This is a correct statement.
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### Question 1.7

Correct. This is a correct statement.
Incorrect. This is a correct statement.
2
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7:27

### Question 1.8

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Correct. This is a correct statement.
Incorrect. This is a correct statement.
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### Question 1.9

Correct. The opposite is true. Because the length of the box is short compared to the line on the right side of the boxplot, we know that the GNP’s are closely clustered in this interval.
Incorrect. The opposite is true. Because the length of the box is short compared to the line on the right side of the boxplot, we know that the GNP’s are closely clustered in this interval.
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9:21

### Question 1.10

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Correct. This is a correct statement.
Incorrect. This is a correct statement.
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### Question 1.11

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Correct. The opposite is true. If a histogram is skewed to the right, then the corresponding boxplot will have a long line on the right as well.
Incorrect. The opposite is true. If a histogram is skewed to the right, then the corresponding boxplot will have a long line on the right as well.
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### Question 1.12

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Correct. This is a correct statement.
Incorrect. This is a correct statement.
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### Question 1.13

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Correct. The distance from Min to Q1 is much greater than the distance from Q3 to Max. Similarly, the distance from Q1 to the median is much greater than from the median to Q3. So, the tail is on the left, making the shape left skewed.
Incorrect. The distance from Min to Q1 is much greater than the distance from Q3 to Max. Similarly, the distance from Q1 to the median is much greater than from the median to Q3. So, the tail is on the left, making the shape left skewed.
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9:55

### Question 1.14

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Correct. The median is greater for the placebo group than for the calcium group.
Incorrect. The median is greater for the placebo group than for the calcium group.
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### Question 1.15

Correct. Even though the lengths of the boxplots are the same, the distance between the first and third quartiles is greater for the calcium group than for the placebo group.
Incorrect. Even though the lengths of the boxplots are the same, the distance between the first and third quartiles is greater for the calcium group than for the placebo group.
2
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11:05

### Question 1.16

Correct. Since the line in the box portion of the boxplot for “sport utility vehicles” is lower than the line in the boxes of the other boxplots, it has the smallest median.
Incorrect. Since the line in the box portion of the boxplot for “sport utility vehicles” is lower than the line in the boxes of the other boxplots, it has the smallest median.
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### Question 1.17

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Correct. The length of the boxplot for “sports cars” is longer than the lengths of the other boxplots.
Incorrect. The length of the boxplot for “sports cars” is longer than the lengths of the other boxplots.
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### Question 1.18

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Correct. Boxplots are the preferred graphs for comparing data sets.
Incorrect. Boxplots are the preferred graphs for comparing data sets.
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