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10th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    If \[{{u}_{i}}=\frac{{{x}_{i}}-25}{10},\]\[\Sigma {{f}_{i}}{{u}_{i}}=20,\]\[\Sigma {{f}_{i}}=100,\] then \[\bar{x}=\]

    A)  23                              

    B)  24                  

    C)  27                              

    D)  25

    Correct Answer: C

    Solution :

    \[\bar{x}=a+\left( \frac{\Sigma {{f}_{i}}{{u}_{i}}}{\Sigma {{f}_{i}}} \right)\times h\] \[\Rightarrow \] \[\bar{x}=25+\frac{20}{100}\times 10=25+2=27\]


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