StatTutor Lesson - Comparing the mean and the median

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      Question 1

      41

      Question 1.

      Which measure is the largest measure of center for the CEO's annual salaries?

      		A.
      		B.
      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.
      2

      Applet

      59

      Question 2

      66

      Question 2.

      Which measure is most affected by moving the blue box?

      		A.
      		B.
      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.
      2

      Questions 3-5

      85

      Question 3.

      Which measure is best for strongly skewed data?

      		A.
      		B.
      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.
      2

      Questions 6-8

      112

      Question 6.

      Since the mean is much larger than the median, what shape do you predict that the histogram of the CEO's annual salaries to have?

      		A.
      		B.
      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