9th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    The mean of 20 numbers is 40. If 5 is subtracted from every number, what will be the new mean?

    A)  45                              

    B)  40                  

    C)  20                  

    D)    35                  

    Correct Answer: D

    Solution :

    Mean, \[\bar{x}=40,\,n=20.(Given)\] \[\bar{x}=\frac{{{x}_{1}}+{{x}_{2}}+....+{{x}_{20}}}{20}\] \[{{x}_{1}}+{{x}_{2}}+....+{{x}_{20}}=40\times 20=800\] New numbers are \[({{x}_{1}}-5),({{x}_{2}}-5),.....,\]\[({{x}_{20}}-5)\] Then mean of new numbers = \[\frac{({{x}_{1}}-5)({{x}_{2}}-5)+....+({{x}_{20}}-5)}{20}\] \[=\frac{800-100}{20}=\frac{700}{20}=35\]


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