SSC Quantitative Aptitude Average Question Bank Average (II)

  • question_answer
    The frequency distribution data is given below. If the average age is 17 yr, the value of m is
    Age (in yr) 8 20 26 29
    Number of People 3 2 M 1
    [SSC CGL Tier II, 2014]

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: A

    Solution :

    [a] Average of data = 17 yr                                  \[\frac{8\times 3+20\times 2+26\times m+29\times 1}{3+2+m+1}=17\]                                                         \[\frac{24+40+26\,\,m+29}{6+m}=17\]                                                                    \[93+26\,\,m=17(6+m)\]                                                                    \[93+26\,\,m=102+17m\]                                                                      \[26\,m-17m=102-93\]                                                                                \[9m=9\]                                                                       \[\Rightarrow\]\[m=1\]


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