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?

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?

  1. A

    a=3,b=4

  2. B

    a=0,b=7

  3. C

    a=5,b=2

  4. D

    a=1,b=6

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    Solution:

    According to the given condition, 

                    6.80=(6a)2+(6b)2+(68)2+(65)2+(610)25        34=(6a)2+(6b)2+4+1+16        (6a)2+(6b)2=13=9+4        (6a)2+(6b)2=32+22        a=3,b=4

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