Understanding Skewness in Distributions: Identifying Symmetry and Asymmetry in Data

If the coefficient of skewness is equal to zero, the shape of the distribution is __________. a) Negatively skewed. b) Symmetric. c) Positively skewed. d) Unknown

b) Symmetric

b) Symmetric.

The coefficient of skewness measures the asymmetry of a distribution. It indicates whether the distribution is skewed to the left (negatively skewed) or to the right (positively skewed), or if it is symmetric (neither skewed to the left nor to the right).

When the coefficient of skewness is equal to zero, it means that the distribution is perfectly symmetrical. This implies that the distribution has equal amounts of data on both sides of the mean, with the same shape and spread. Therefore, the correct answer is b) Symmetric.

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