If distribution A and distribution B have the same mean,but A has a larger standard deviation,we may conclude that
A)the medians of both distributions would be the same.
B)distribution B has a range of 0.
C)A has a greater degree of dispersion.
D)distribution B displays more variety.

Question

Quizplus · Accepted Answer

Standard deviation measures the degree of dispersion of data from the mean. If A has a larger standard deviation than B, then it has a greater degree of dispersion. The median and range are not necessarily affected by differences in standard deviation. Variety is not a well-defined statistical concept in this context.

If Distribution a and Distribution B Have the Same Mean,but