JEE Main & Advanced Mathematics Statistics Question Bank Mean

  • question_answer
    If the algebraic sum of deviations of 20 observations from 30 is 20, then the mean of observations is

    A)                 30           

    B)                 30.1

    C)                 29           

    D)                 31

    Correct Answer: D

    Solution :

               \[\sum\limits_{i=1}^{20}{({{x}_{i}}-30)=20}\] Þ  \[\sum\limits_{i=1}^{20}{{{x}_{i}}-20\times 30=20}\]                                 Þ \[\sum\limits_{i=1}^{20}{{{x}_{i}}=620}\]. Mean = \[\frac{\sum\limits_{i=1}^{20}{{{x}_{i}}}}{20}=\frac{620}{20}=31\].


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