JEE Main & Advanced JEE Main Paper (Held On 12 April 2014)

  • question_answer
    Let\[\overline{X}\]and M.D. be the mean and the mean deviation about X of n observations \[{{x}_{i}},\] i = 1, 2, ........, n. If each of the observations is increased by 5, then the new mean and the mean deviation about the new mean, respectively, are :   [JEE Main Online Paper ( Held On 12 Apirl  2014 )

    A) \[\overline{X},M.D.\]                    

    B) \[\overline{X}+5,M.D.\]

    C) \[\overline{X},M.D.+5\]                               

    D) \[\overline{X}+M.D.+5\]

    Correct Answer: B

    Solution :

                    Let \[{{x}_{i}}\] be n observations, i = 1, 2, ...n Let \[\overline{X}\] be the mean and M.D be the mean deviation about \[\overline{X}\] . If each observation is increased by 5 then new mean will be \[\overline{X}+5\] and new M.D. about new mean will be M.D. be M.D. \[\left( \because Mean=\sum\limits_{i=1}^{n}{\frac{{{x}_{i}}}{n}} \right)\]

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