If the appropriate measure of central tendency is the mean, then the most appropriate measure of variability is the.
A)median
B)range
C)standard deviation
D)population variance

Question

Quizplus · Accepted Answer

The most appropriate measure of variability when using the mean as the measure of central tendency is the standard deviation. The standard deviation measures the amount of variability or dispersion within a data set, indicating how spread out the data is from the mean. The range, while a measure of variability, only tells us the difference between the highest and lowest values in the data set and does not give information about the spread of the data around the mean. The median is a measure of central tendency that is less affected by extreme values than the mean, but it does not provide information about variability. Population variance is a measure of variability, but it is less commonly used than the standard deviation, which is more easily interpretable as it is on the same scale as the original data.

If the Appropriate Measure of Central Tendency Is the Mean