Calculate SS variance and standard deviation for the followi

Calculate SS, variance and standard deviation for the following sample of n = 4 scores: 3, 1, 1, 1. (Note: The computational formula works best with these scores; use 2 decimal places.)

Solution

Getting the mean, X,          
          
X = Sum(x) / n          
Sum(x) =    6      
As n =    4      
Thus,          
X =    1.5      
          
Setting up tables,          
x   x - X   (x - X)^2  
3   1.5   2.25  
1   -0.5   0.25  
1   -0.5   0.25  
1   -0.5   0.25  
          
          
Thus, Sum(x - X)^2 = SS = 3   [ANSWER]