Which of the following are commonly used measures of center for a data set?

• A. Skewness and kurtosis
• B. Range, variance, and standard deviation
• C. Interquartile range and mean absolute deviation
• D. $\mathrm{Mean}$, $\mathrm{median}$, and $\mathrm{mode}$

Answer: (D)

Verified step by step guidance

1. Understand that measures of center describe the central point or typical value of a data set, summarizing where most data values cluster.
2. Recall that common measures of center include the mean (average), median (middle value when data is ordered), and mode (most frequent value).
3. Recognize that skewness and kurtosis are measures of shape, describing asymmetry and tail heaviness, not center.
4. Note that range, variance, and standard deviation are measures of spread or variability, indicating how data values are dispersed around the center.
5. Identify that interquartile range and mean absolute deviation also measure spread, not center, so they are not measures of center.