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9th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    In a frequency distribution, the mid value   of a class is 10 and the width of the class is 6. What is the lower limit of the class?

    A)  6                                

    B)  7                    

    C)  8                    

    D)    12

    Correct Answer: B

    Solution :

    Mid value of a class = 10 Width of class = 6 Let \[{{x}_{1}}\]be the lower limit and \[{{x}_{2}}\]be the upper limit of the class \[\Rightarrow \]\[\frac{{{x}_{1}}+{{x}_{2}}}{2}=10(mid\,point)\] \[\Rightarrow \]\[{{x}_{1}}+{{x}_{2}}=20\]                                  ?.(i) and \[{{x}_{2}}-{{x}_{1}}=6(width)\]                   ?.(ii) Solving (i) and (ii),we get \[x=7,x{{=}_{2}}13\] Hence, the lower limit of the class is 7.


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