Which of the following is the best measure of variability if the distribution of a set of data is skewed?
A)The standard deviation.
B)The variance.
C)The median.
D)The interquartile range.

Question

Quizplus · Accepted Answer

When the distribution of a set of data is skewed, the best measure of variability is the interquartile range (IQR). This is because the IQR only considers the middle 50% of the data, which is less affected by outliers or extreme values that can heavily impact the mean and standard deviation. The median is also a measure of central tendency and does not reflect the variability of the data. The variance and standard deviation are affected by outliers and are better suited for symmetric distributions.

Which of the Following Is the Best Measure of Variability