10th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    Find the mode for the following data.    
    Age 0-6 6-12 12-18 18-24 24-30 30-36 36-42
    Frequency 6 11 25 35 18 12 6

    A)                                              \[20.22\]                     

    B)  \[19.47\]         

    C)                     \[21.12\]        

    D)                     \[20.14\]         

    Correct Answer: A

    Solution :

    Since, maximum class frequency is 35, so the mode class is\[18-24\]. Now, Mode \[=l+\left( \frac{{{f}_{1}}-{{f}_{0}}}{2{{f}_{1}}-{{f}_{0}}-{{f}_{2}}} \right)\times h\] \[=18+\left( \frac{35-25}{2\times 35-25-18} \right)\times 6=18+2.22=20.22\]


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