(i. The standard deviation the negative 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

The standard deviation is not the negative square root of the variance; it is the positive square root. The range is the difference between the highest and lowest values, which is 64 - 20 = 44, so (ii) is correct. The sum of the deviations from the mean is always zero, making (iii) correct.

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