7th Class Mathematics Data Handling Question Bank Data Handling

  • question_answer
    If each entry of a data is increased by 5, how does the mean change?

    A)  Remains the same .

    B)  Increases by 5.  

    C)  Decreases by 5.

    D)  Becomes half.

    Correct Answer: B

    Solution :

       Let the observations be \[{{x}_{1}},{{x}_{2}},.....{{x}_{n}}.\] After the increase they are                                 \[{{x}_{1}}+5,\,{{x}_{2}}+5,....{{x}_{n}}+5\]. A.M. \[=\frac{{{x}_{1}}+5+{{x}_{2}}+5+....+{{x}_{n}}+5}{n}\] = A.M. before increase \[+5\].


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