Which of the following statements is true?
A)The sum of the deviations from the mean is always zero
B)The sum of the squared deviations from the mean is always zero
C)The range is always smaller than the variance
D)The standard deviation is always smaller than the variance

Question

Quizplus · Accepted Answer

The sum of the deviations from the mean is always zero because the mean is supposed to be the center of the data distribution. Any values above the mean will have a corresponding value below the mean that cancels out the deviation.

Which of the Following Statements Is True