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SSC Quantitative Aptitude Average Question Bank Average (I)

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

    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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