SB 7.3 population standard deviation

Question

3. What is the population standard deviation of the data set 6, 22, 18, 12, 15, 25?

 

a. 6.89

b. 16.5

c. 16.33

d. 6.29

Answer 1

Mean = (6+22+18+12+15+25)/6=16.33

 

Standard Deviation =(1/(n-1)) √∑(x-mean)^2=(1/6-1)[(6-16.33)^2 +(22-16.33)^2 +(18-16.33)^2 +(12-16.33)^2 +(15-16.33)^2 +(25-16.33)^2]=√(237.33/5) = 6.89

 

The correct answer is option a