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Q.

If i=1 18 ( x i 8) =9   and i=1 18 ( x i 8) 2 =45   then the standard deviation of  x 1 , x 2 ,........ x 18   is


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a

9 4  

b

3 2  

c

4 9  

d

2 3   

answer is C.

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Detailed Solution

Let d 1 = x 1 8 but  σ x 2 = σ d 2 = 1 18 Σ d 1 2 1 18 Σdi 2 = 1 18 ×45 9 18 2 = 5 2 1 4 =9  
σ 2 = d i 2 n d i n 2  
 
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