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10th Class Mathematics Statistics Question Bank Statistics and Probability

  • question_answer
    The mean of the following frequency distribution is
    Class Interval Frequency
    0 - 10 4
    10 - 20 6
    20 - 30 10
    30 - 40 16
    40 - 50 14

    A)  25                         

    B)         35

    C)  30                         

    D)         31  

    Correct Answer: D

    Solution :

     
    Class Interval Mid Point Freq. Diff, From \[(A=25)\] fd
    \[0-10\] 5 4 \[-20\] \[-80\]
    \[10-20\] 15 6 \[-10\] \[-60\]
    \[20-30\] 25 10 0 0
    \[30-40\] 35 16 10 160
    \[40-50\] 45 14 20 280
    Total \[\Sigma \,f=50\] \[\Sigma \,fd=300\]
    \[(\overline{X})=A+\frac{\Sigma \,fd}{\Sigma f}=25+\frac{300}{50}=31\]


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