A population has sum of squared deviations,SS = 100 and variance,s2 = 4.What is the value of S(X - m)for the population?
A)0
B)25
C)100
D)400

Question

A population has sum of squared deviations,SS = 100 and variance,s2 = 4.What is the value of S(X - m)for the population?​
A)​0
B)​25
C)​100
D)​400

Quizplus · Accepted Answer

The sum of squared deviations from the mean (S(X - m)) for a population is always 0 because it represents the sum of the differences between each data point and the mean, squared. When calculating variance or standard deviation, this sum is used, but the concept of summing the deviations themselves (before squaring) always results in 0 due to the nature of mean as the central point of the data.

A Population Has Sum of Squared Deviations,SS = 100 and Variance,s2