Question

A statistic that indicates the distribution’s dispersion is a

• A. measure of central tendency
• B. measure of shape
• C. measure of location
• D. (typically) measure of dispersion / variability

Hint:

Think: Location = where is the center; Dispersion = how spread; Shape = skewness/kurtosis.

Answer 1

The Correct Option is D

Important note on the options.
In standard terminology, statistics are grouped as measures of location (central tendency), measures of dispersion (variability), and measures of shape (skewness/kurtosis). The only family that indicates dispersion is measures of dispersion (e.g., range, variance, standard deviation, interquartile range). If your printed options omit this label due to cropping, select the option that explicitly says “measure of dispersion/variability.”
Step 1: Match to definition.
“Dispersion” asks how spread out the data are ⇒ variance, SD, IQR, range.
Step 2: Eliminate distractors.
(a) & (c) are location/central tendency (mean, median, percentiles).
(b) Shape refers to skewness or kurtosis, not overall spread.
\[ \boxed{(d)} \]