has greater practical utility In sampling
is a good measure of dispersion since all the values are used in its calculation
is important and useful in the analysis of T- Test
is not a sound mathematical index
is the most popular measure of dispersion in distribution
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Standard deviation is considered a sound mathematical index because it is based on all values in a distribution and is capable of further algebraic treatment. It is the most reliable and widely used measure of dispersion. Claiming it is not a sound mathematical index is an incorrect statement and therefore the "except" answer.
Why other options are incorrect
A. has greater practical utility in sampling: This is a true advantage. Standard deviation is more stable than other measures when multiple samples are taken from the same population.
