The standard deviation of the sample data 13,14,17,and 20 equals:
A)2.74
B)3.16
C)7.98
D)9.16

Question

Quizplus · Accepted Answer

To find the standard deviation, we need to first find the mean of the data set:
mean = (13 + 14 + 17 + 20)/4 = 16

Next, we need to find the variance:
variance = ((13-16)^2 + (14-16)^2 + (17-16)^2 + (20-16)^2)/3 = 18

Finally, we find the standard deviation by taking the square root of the variance:
standard deviation = sqrt(18) = 3.16

Therefore, the best choice is B.

The Standard Deviation of the Sample Data 13,14,17,and 20 Equals