BACHELOR OF BUSINESS ADMINISTRATION

Detailed explanation-1: -So we can see that the given statement will be false, that is the variance is not the square root of the standard deviation, the variance is the square of the standard deviation. Or we can say that the standard deviation is the square root of the variance, hence the correct answer is false.

Detailed explanation-2: -Unlike range and interquartile range, variance is a measure of dispersion that takes into account the spread of all data points in a data set. It’s the measure of dispersion the most often used, along with the standard deviation, which is simply the square root of the variance.

Detailed explanation-3: -Taking the square root makes means the standard deviation satisfies absolute homogeneity, a required property of a norm. It’s a measure of distance from mean E[X] to X.

Detailed explanation-4: -Because the differences are squared, the units of variance are not the same as the units of the data. Therefore, the standard deviation is reported as the square root of the variance and the units then correspond to those of the data set.

Detailed explanation-5: -False as the variance is square of the standard deviation.