Question

Determine the standard deviation by filling in the table as part of your calculation. Consider the following data 6, 6, 10, 8, 10, 8

Answer 1

Question options:

A. 1.63

B. 0.47

C. 0.94

D. 1.15

Answer:

A. 1.63

Explanation:

To find the standard deviation,

we have the data:

6, 6, 10, 8, 10, 8

sum = 6 + 6 + 10 + 8 + 10 +8

       = 48

mean = 48 / 6

         = 8

Formula for standard deviation:

σ2 = Σ(xi - μ)2  / N

   =  Σ (6-8)2 +....+  (8-8)2    /   6

   = 16 / 6

σ2= 2.67

σ = $\sqrt{2.67}$

σ = 1.63