Q.

If the arithmetic mean of the following distribution is  8.2, then a=xi:     1   3   5   9   11   13fi:    3 2 7   a    4   8

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a

5

b

6

c

9

d

none of these

answer is B.

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Detailed Solution

We have1×3+3×2+5×7+9a+11×4+13×83+2+7+a+4+8=8.2⇒3+6+35+9a+44+10424+a=8.2⇒9a+192=24×8.2+8.2a⇒0.8a=4.8⇒a=6
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If the arithmetic mean of the following distribution is  8.2, then a=xi:     1   3   5   9   11   13fi:    3 2 7   a    4   8