JEE Main & Advanced Mathematics Statistics Question Bank Mean

  • question_answer
    The mean of a set of numbers is \[\bar{x}\]. If each number is multiplied by l, then the mean of new set is

    A)                 \[\bar{x}\]              

    B)                 \[\lambda +\bar{x}\]

    C)                 \[\lambda \bar{x}\]               

    D)                 None of these

    Correct Answer: C

    Solution :

                       \[\bar{x}=\frac{\Sigma {{x}_{i}}}{n}\], \[\Sigma {{x}_{i}}=n\bar{x}\]                                 New mean = \[\frac{\Sigma \lambda {{x}_{i}}}{n}\]\[=\lambda \frac{\Sigma {{x}_{i}}}{n}\]\[=\lambda \bar{x}\].


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