Calculate SS for the following sample of n 5 scores 10 3 8

Calculate SS for the following sample of n = 5 scores: 10, 3, 8, 0, 4.

Calculate SS, variance and standard deviation for the following population of N = 8 scores: 0, 1, 0, 3, 6, 0, 2, 0.

Solution

SAMPLE STANDARD DEVIATION      
      
Getting the mean, X,      
      
X = Sum(x) / n      
Sum(x) =    25  

As n = 5,
      
Thus,      
X =    5

Now, consider the table,

Thus, summing the last column,

SS = 64 [ANSWER]

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2.

Getting the mean, X,          
          
X = Sum(x) / n          
Sum(x) =    12      
As n =    8      
Thus,          
X =    1.5      
          
Setting up tables,          
x   x - X   (x - X)^2  
0   -1.5   2.25  
1   -0.5   0.25  
0   -1.5   2.25  
3   1.5   2.25  
6   4.5   20.25  
0   -1.5   2.25  
2   0.5   0.25  
0   -1.5   2.25  
          
          
Thus,

SS =    32   [ANSWER]
          
Thus, as           
          
s^2 = Sum(x - X)^2 / (n - 1)          
          
As n =    8      
          
s^2 =    4.571428571   [answer, VARIANCE]  
          
Thus,          
          
s =    2.138089935   [ANSWER, STANDARD DEVIATION]