Which of the following are true for Skewness?

A. It is a measure of symmetry of a frequency distribution.

B. For the right-skewed distribution, the mean is to the right of the median.

C. For the right-skewed distribution, the mean is to the right of the mode.

D. For the right-skewed distribution, the mean is to the left of the median.

E. For the right-skewed distribution, the mean is to the left of the mode.

Choose the correct answer from the options given below:

Correct option is A

A. It is a measure of symmetry of a frequency distribution.

• True. Skewness quantifies how much a distribution deviates from the "perfect" bell curve (symmetry). A skewness of 0 means the distribution is perfectly symmetrical.

B. For the right-skewed distribution, the mean is to the right of the median.

• True. In a right-skewed (positively skewed) distribution, the long tail extends toward the higher values on the right. These extreme values pull the mean more than the median, making the mean greater than the median.

C. For the right-skewed distribution, the mean is to the right of the mode.

• True. The mode is the peak of the curve. Because the mean is pulled toward the long tail on the right, it ends up being the largest of the three measures. The general relationship for right-skewed data is:

  Mean > Median > Mode

Why D and E are Incorrect

• D: This claims the mean is to the left of the median in a right-skewed distribution. This is actually what happens in a left-skewed (negative) distribution.

• E: This claims the mean is to the left of the mode in a right-skewed distribution. Again, this describes a left-skewed distribution where the mean is "dragged down" by low-value outliers.