10th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    The A.M. of 12 observations is 15. If an observation 20 is removed, what is the arithmetic mean of the remaining observations?

    A) 14.5                       

    B) 13  

    C) 15                                          

    D) 13.5

    Correct Answer: A

    Solution :

    The A.M. of 12 observations is 15. \[\Rightarrow \]Sum of 12 observations \[=\text{12}\times \text{15}=\text{18}0\] An observation 20 is removed \[\Rightarrow \] Mean of the remaining observations\[=\frac{180-20}{(12-1)}=\frac{160}{11}=14.5\]


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