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SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • question_answer
    There are 45 students in a class of which 15 are girls. The average weight of 15 girls is 45 kg and that of 30 boys is 52 kg. Then, the mean weight (in kg) the entire class is       

    A)                  49.67 kg

    B)  50.01 kg              

    C)                     53.23 kg

    D)  57.23 kg    

    Correct Answer: A

    Solution :

    Here,\[{{n}_{1}}=15,\]\[{{n}_{2}}=30\] \[{{\bar{x}}_{1}}=45\,\,\text{kg}\]and \[{{\bar{x}}_{2}}=52\,\,\text{kg}\] \[\therefore \] \[\bar{X}=\frac{{{n}_{1}}{{{\bar{x}}}_{1}}+{{n}_{2}}{{{\bar{x}}}_{2}}}{{{n}_{1}}+{{n}_{2}}}=\frac{15\times 45+30\times 52}{15+30}=\frac{2235}{45}\,\,\text{kg}\] \[=49.67\,\,\text{kg}\] Hence, mean weight of entire class is 49.67 kg


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