JEE Main & Advanced Mathematics Statistics Question Bank Mock Test - Statistics

  • question_answer
    The variance of the data 2, 4, 6, 8, 10 is

    A) 6                     

    B) 7

    C) 8                     

    D) None of these

    Correct Answer: C

    Solution :

    [c] Here, \[\bar{x}=\frac{2+4+6+8+10}{5}=6\] Hence, variance\[=\frac{1}{n}\sum{{{({{x}_{i}}-\bar{x})}^{2}}}\] \[=\frac{1}{5}\left\{ {{(2-6)}^{2}}+{{(4-6)}^{2}}+(6-6)+{{(8-6)}^{2}}+{{(10-6)}^{2}} \right\}\] \[=\frac{1}{5}\left\{ (16+4+0+4+16) \right\}=\frac{1}{5}\{40\}=8\]


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