Measures of variability can range in value from
A)- $\infty$ to + $\infty$
B)0 to +
C)It depends on whether the variability is positive or negative.
D)It depends on the value of the mean for a given distribution.

Question

Measures of variability can range in value from
A)- $\infty$ to + $\infty$ 
B)0 to + 
C)It depends on whether the variability is positive or negative. 
D)It depends on the value of the mean for a given distribution.

Quizplus · Accepted Answer

Measures of variability, such as range, variance, and standard deviation, cannot be negative and can have a minimum value of zero. The maximum value depends on the data set and the measure being used, but can theoretically be infinite (though this is rare in practice). Therefore, option B is the most suitable choice. Option A and C are incorrect as they suggest variability can have negative values, which is not possible. Option D is incorrect as the value of mean doesn't determine the range of variability.

Measures of Variability Can Range in Value from A)- ∞\infty∞ To

Measures of Variability Can Range in Value from
A)- $\infty$ To