Compute the Standard Deviation of a Variable from Raw Data
-$10,10,10,13,16,16,16$
A) 3
B) $2.8$
C) $7.7$
D) $9.0$

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean: $ (10+10+10+13+16+16+16)/7 = 13 $. Then, calculate the variance: $(1/7) \times ((10-13)^2 + (10-13)^2 + (10-13)^2 + (13-13)^2 + (16-13)^2 + (16-13)^2 + (16-13)^2) = 9$. The standard deviation is the square root of 9, which is 3.

Compute the Standard Deviation of a Variable from Raw Data 10,10,10,13,16,16,1610,10,10,13,16,16,1610,10,10,13,16,16,16

Compute the Standard Deviation of a Variable from Raw Data $10,10,10,13,16,16,16$