JEE Main & Advanced Mathematics Statistics Question Bank Measures of dispersion

  • question_answer
    The variance of the data 2, 4, 6, 8, 10 is                [AMU 1992]

    A)                 6             

    B)                 7             

    C)                 8             

    D)                 None of these

    Correct Answer: C

    Solution :

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


You need to login to perform this action.
You will be redirected in 3 sec spinner