Question

a. which measure of variation is preferred when the mean is used as a measure of center? b. which measure of variation is preferred when the median is used as a measure of center? a. the is preferred when the mean is used as a measure of center. standard deviation interquartile range mode variance

Explanation:

The standard - deviation is related to the mean. It measures the average amount by which data points deviate from the mean. When the mean is used as a measure of center, the standard deviation is the preferred measure of variation as it uses all the data values in its calculation and is in the same units as the original data. The inter - quartile range is preferred when the median is used as a measure of center as it is resistant to outliers. The mode is a measure of central tendency, not a measure of variation. Variance is also related to the mean but is in squared units, so standard deviation is more interpretable.

Answer:

a. standard deviation
b. interquartile range