Q.

The mean of the numbers a, b,8,5 and 10 is 6 and the variance is 6.80. Then, which one of the following gives possible values of a and b?

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a

a=3,b=4

b

a=0,b=7

c

a=5,b=2

d

a=1,b=6

answer is A.

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Detailed Solution

According to the given condition,                  6.80=(6−a)2+(6−b)2+(6−8)2+(6−5)2+(6−10)25⇒        34=(6−a)2+(6−b)2+4+1+16⇒        (6−a)2+(6−b)2=13=9+4⇒        (6−a)2+(6−b)2=32+22⇒        a=3,b=4
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