Chapter 1. Comparing the mean and the median

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Stat Tutor
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Question 1

0:41

Question 1.1

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Incorrect. The value of the mean is $404,170 and the value of the median is $350,000. Clearly, the mean is bigger.
Correct. The value of the mean is $404, 170 and the value of the median is $350, 000. Clearly, the mean is bigger.
Incorrect. Try again.
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Applet

0:59

Question 2

1:06

Question 1.2

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Incorrect. Since the value represented by the blue box is an outlier for many of its possible values and outliers affect the mean, the mean is affected much more often than the median.
Correct. Since the value represented by the blue box is an outlier for many of its possible values and outliers affect the mean, the mean is affected much more often than the median.
Incorrect. Try again.
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Questions 3-5

1:25

Question 1.3

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Incorrect. Strong skewness affects the mean, so the median is a better measure of center for skewed data.
Correct. Strong skewness affects the mean, so the median is a better measure of center for skewed data.
Incorrect. Try again.
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Question 1.4

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Incorrect. Outliers affect the mean because every observation in a data set (including outliers) is used to compute it.
Correct. Outliers affect the mean because every observation in a data set (including outliers) is used to compute it.
Incorrect. Try again.
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Question 1.5

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Incorrect. The mean is preferred over the median because it has nice mathematical properties whenever there are not outliers or strong skewness.
Correct. The mean is preferred over the median because it has nice mathematical properties whenever there are not outliers or strong skewness.
Incorrect. Try again.
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Questions 6-8

1:52

Question 1.6

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Incorrect. Since the mean is much larger than the median, we suspect that there are a few CEO salaries that are much, much higher than the other CEO's salaries. Thus, the shape of the histogram would be right-skewed.
Correct. Since the mean is much larger than the median, we suspect that there are a few CEO salaries that are much, much higher than the other CEO's salaries. Thus, the shape of the histogram would be right-skewed.
Incorrect. Try again.
2

Question 1.7

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Incorrect. Since the mean is much larger than the median, we suspect that there are a few CEO salaries that are much, much higher than the other CEO's salaries. These really high salaries will inflate the mean, so the median would be a better measure of center.
Correct. Since the mean is much larger than the median, we suspect that there are a few CEO salaries that are much, much higher than the other CEO's salaries. These really high salaries will inflate the mean, so the median would be a better measure of center.
Incorrect. Try again.
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Question 1.8

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Incorrect. When the shape is strongly skewed, the median is the preferred measure of center.
Correct. When the shape is strongly skewed, the median is the preferred measure of center.
Incorrect. Try again.
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