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Reading 7: Statistical Concepts and Market Returns - LOS i

6In a negatively skewed distribution, what is the order (from lowest value to highest) for the distribution’s mode, mean, and median values?

A)   Mean, median, mode.

B)   Mode, mean, median.

C)   Median, mode, mean.

D)   Median, mean, mode.

7In a positively skewed distribution, the:

A)   median equals the mean.

B)   mean is greater than the median.

C)   mean is less than the median.

D)   mode does not exist.

8If a distribution is positively skewed, then generally you could say:

A)   mean > median > mode.

B)   mean < median < mode.

C)   mean > median < mode.

D)   mean = median = mode.

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答案和详解如下:

6In a negatively skewed distribution, what is the order (from lowest value to highest) for the distribution’s mode, mean, and median values?

A)   Mean, median, mode.

B)   Mode, mean, median.

C)   Median, mode, mean.

D)   Median, mean, mode.

The correct answer was A)

In a negatively skewed distribution, the mean is less than the median, which is less than the mode.

7In a positively skewed distribution, the:

A)   median equals the mean.

B)   mean is greater than the median.

C)   mean is less than the median.

D)   mode does not exist.

The correct answer was B)    

In a right-skewed distribution, there are large positive outliers. These outliers increase the mean of the distribution but have little effect on the median. Therefore, the mean is greater than the median.

8If a distribution is positively skewed, then generally you could say:

A)   mean > median > mode.

B)   mean < median < mode.

C)   mean > median < mode.

D)   mean = median = mode.

The correct answer was A)

When a distribution is positively skewed the right side tail is longer than normal due to outliers. The mean will exceed the median, and the median will generally exceed the mode because large outliers falling to the far right side of the distribution can dramatically influence the mean.

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