Question

Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data.

18 18 18 9 15 5 10 5 15
A) 1.6
B) 5.1
C) 5.8
D) 5.4

Answer 1

D) Standard deviation is 5.41

Explanation:

We are given

count N = 9

Sum ∑xi = 113

Mean = ∑xi /N = 12.55

Standard deviation =
`\sqrt{ ((summation xi-mean)^2)/(N) - (mean)^2 }` where i = 1 to 9

upon substituting the values we get

Standard deviation =
`√(29.277)` = 5.41