(i. The standard deviation the positive square root of the variance. (ii) The capacities of several metal containers are: 38, 20, 37, 64, and 27 litres. The range in litres is 44.
(iii) The sum of the deviations of each value from the mean equals zero.
A) (i), (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements, but not (i).
E) (i), (ii) and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) and (iii) are correct statements because the standard deviation is the positive square root of the variance, and the sum of the deviations of each value from the mean equals zero. (ii) is incorrect because the range is 44, not 38.

(I the Standard Deviation the Positive Square Root of the Variance