The greater the skew of a distribution of scores,
A)the lower the value of the standard deviation.
B)the higher the value of the standard deviation.
C)the lower the value of the range.
D)none of these.Measures of dispersion are not affected by skew.

Question

Quizplus · Accepted Answer

Skewness refers to the asymmetry of the distribution. Higher skewness means that the tail of the distribution is stretched further in one direction, indicating that there are extreme scores on one end of the distribution. This results in a higher standard deviation because the extreme scores increase the variability of the data. The range is not directly affected by skewness.

The Greater the Skew of a Distribution of Scores