Which measure of dispersion is calculated as the square root of the variance?a.Rangeb.Quartile Deviationc.Standard Deviationd.Interquartile Range

The measure of dispersion that is calculated as the square root of the variance is c. Standard Deviation.

Explanation:

Dispersion refers to the spread of data points in a dataset. Variance is a statistical measurement that represents the average of the squared differences from the mean, indicating how much the data points vary from the mean value. The standard deviation, on the other hand, translates variance back into the original unit of measurement by taking the square root of the variance. This is particularly useful because it allows for easier interpretation of the dispersion in the context of the original data. The other options listed, such as range, quartile deviation, and interquartile range, measure dispersion in different ways and do not involve the square root of the variance.

Conclusion:

Thus, when asked which measure of dispersion is the square root of the variance, the correct answer is standard deviation.