In a right-skewed distribution, which statement is true?

In a right-skewed distribution, which statement is true?

• A. Median > Mean > Mode
• B. Mean > Mode > Median
• C. Mean > Median > Mode
• D. Mode > Mean > Median

Answer: (C)

In a right-skewed distribution, the tail extends to the right with some unusually large values that pull the average upward. The mean is sensitive to those extreme values, so it ends up larger than the median. The median, being the middle value, is less influenced by a few high outliers, placing it between the mean and the mode. The mode is the most frequent value and, in a positively skewed shape, tends to sit at the lower end, making it the smallest of the three. So the typical order is mean > median > mode, which is why that statement is true.

In a right-skewed distribution, the tail extends to the right with some unusually large values that pull the average upward. The mean is sensitive to those extreme values, so it ends up larger than the median. The median, being the middle value, is less influenced by a few high outliers, placing it between the mean and the mode. The mode is the most frequent value and, in a positively skewed shape, tends to sit at the lower end, making it the smallest of the three. So the typical order is mean > median > mode, which is why that statement is true.