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

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

  1. A

    5

  2. B

    6

  3. C

    9

  4. D

    none of these

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    Solution:

    We have

    1×3+3×2+5×7+9a+11×4+13×83+2+7+a+4+8=8.23+6+35+9a+44+10424+a=8.29a+192=24×8.2+8.2a0.8a=4.8a=6

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