The mean of five observations is M. If each observation is divided by 2,then what is the new set of observations?

Dear Student,

Let the set of observations be x1, x2, ..., xn.Then, mean of these observations = Sum of all observationsNumber of observations = x1 + x2 + ... + xnn = M                                  ...iNow, dividing each observation by 2, the new set of observations is x12, x22, ..., xn2.Then, Sum of all new observations = x12 + x22 + ... + xn2 = 12x1 + x2 + ... + xnTherefore, new mean = Sum of all new observationsNumber of observations = 12x1 + x2 + ... + xnn = 12 × x1 + x2 + ... + xnn = 12M    [From i]NOTE: Since, the question is unclear, it is assumed in the above solution that the new mean is required to be calculated.

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Do you mean what is the sum of the new set of observations ?
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