Find the standard deviation of the set of following numbers

Find the standard deviation of the set of following numbers. You must show all of your work. 2, 4, 8, 2, 4, 6, 3, 3

Solution

Getting the mean, X,          
          
X = Sum(x) / n          
Summing the items, Sum(x) =    32      
As n =    8      
Thus,          
X =    4      
          
Setting up tables,          

          
Thus, Sum(x - X)^2 =    30      
          
Thus, as           
          
s^2 = Sum(x - X)^2 / (n - 1)          
          
As n =    8      
          
s^2 =    4.285714286      
          
Thus,          
          
s =    2.070196678 [ANSWER, STANDARD DEVIATION]

x x - X (x - X)^2
2 -2 4
4 0 0
8 4 16
2 -2 4
4 0 0
6 2 4
3 -1 1
3 -1 1
Find the standard deviation of the set of following numbers. You must show all of your work. 2, 4, 8, 2, 4, 6, 3, 3SolutionGetting the mean, X, X = Sum(x) / n S

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