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10th Class Mathematics Statistics Question Bank Statistics and Probability

  • question_answer
    Mean of twenty observations is 15. If two observations 3 and 14 replaced by 8 and 9 respectively, then the new mean will be

    A)  14                                         

    B)  15  

    C)  16                                         

    D)  17

    Correct Answer: B

    Solution :

     Mean of 20 observations =15 \[\therefore \] Sum of 20 observations \[=15\times 20=300\] Replacing 3 and 14 by 8 and 9 will mean that \[3+14=17\] is replaced by \[8+9=17\]. Hence there will be no effect on the sum. It will still remain 300, so the mean will not change and will remain 15.


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