EDUCATION (CBSE/UGC NET)

Detailed explanation-1: -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-2: -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-3: -The standard deviation is calculated as the square root of variance by determining each data point’s deviation relative to the mean. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.

Detailed explanation-4: -The square root of the variance is called the Standard Deviation . Note that is the root mean squared of differences between the data points and the average.

Detailed explanation-5: -The variance measures the average degree to which each point differs from the mean. While standard deviation is the square root of the variance, variance is the average of all data points within a group.