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Which of the following CANNOT take a negative value?
Question

Which of the following CANNOT take a negative value?

A.

Standard Deviation

B.

Median

C.

Mean

D.

Skewness

Correct option is A

Given:
The options are Standard Deviation, Median, Mean, and Skewness.

Formula Used:
Standard Deviation is always non-negative.

Solution:
Standard deviation is a measure of the amount of variation or dispersion of a set of values.
It is always non-negative because it is derived from the square root of the variance,
which itself is a sum of squared deviations from the mean. Squared values cannot be negative,
so the standard deviation cannot be negative.
Thus, the correct answer is A: Standard Deviation.


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