The mean of a set of observations is x-. If each observation is divided by, α≠0 and then is increased by 10, then the mean of the new set is

The mean of a set of observations is x-. If each observation is divided by, α0 and then is increased by 10, then the mean of the new set is

  1. A

    x¯α

  2. B

    x¯+10α

  3. C

    x¯+10αα

  4. D

    αx¯+10

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    Solution:

     Let x1,x2,x3,xn be n observations. Then

    x¯=1ni=1nxi New mean, X¯=1ni=1nxiα+10=1α1ni=1nxi+1n(10n)=1αx¯+10=x¯+10αα

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