9th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    In an examination, a candidate scores the following percentage of marks. English ? 44; Hindi ? 58; Maths?74; Physics ? 61; Chemistry? 62. If weights 2, 4, 4, 5, 3 respectively allotted to these subjects, then the candidate's weighted mean percentage is

    A) 61                               

    B) 61.5

    C) 62                  

    D) 62.5

    Correct Answer: B

    Solution :

    x \[{{f}_{i}}\] \[{{f}_{i}}{{x}_{i}}\]
    44 2 88
    58 4 232
    74 4 296
    61 5 305
    62 3 186
    \[\sum{{{f}_{i}}=18}\] \[\sum{{{f}_{i}}{{x}_{i}}=1107}\]
    Mean \[=\frac{\sum{{{f}_{i}}{{x}_{i}}}}{\sum{{{f}_{i}}}}=\frac{1107}{18}=61.5\]


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