JEE Main & Advanced Mathematics Statistics Question Bank Measures of dispersion

  • question_answer
    The mean deviation of the numbers 3, 4, 5, 6, 7 is               [AMU 1993; DCE 1998]

    A)                 0             

    B)                 1.2

    C)                 5             

    D)                  25

    Correct Answer: B

    Solution :

                       A.M. = \[\frac{3+4+5+6+7}{5}=5\]                    \ Mean deviation\[=\frac{\Sigma |{{x}_{i}}-\bar{x}|}{n}\]                    \[=\frac{|3-5|+|4-5|+|5-5|+|6-5|+|7-5|}{5}\]                                 \[=\frac{2+1+0+1+2}{5}\]\[=\frac{6}{5}=1.2\].


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