Question

Discuss the superiority of standard deviation over variance. Provide an example to justify your answer

Answer 1

Standard Deviation :

Standard is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Variance:

variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value.

. Both are almost the same. but Standard deviation gives more clarity about the deviation of data from a mean. That is why standard deviation is superior to variance.

For example: the sum of uncorrelated distribution (random variable) also has a variance that is the sum of the variances of those distributions.