Page 43 - Basic Statistics

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Problem 2.5:
Prove that three formulas for calculating the variance is the same

n
 X ( i ) X - 2

2
S = i= 1 ,
n − 1
2
 n 
  X 
n  i 
 X 2 −  i= 1 
i
2
S = i= 1 n , and
n 1 -

n
 X i 2 n - X 2

S = i= 1
2
n 1 -

~~* CHAPTER 2 NUMERICAL MEASURES TO SUMMARIZE DATA *~~