7th Class Mental Ability Data Handling Question Bank Data Handling

  • question_answer
    Find the median of 11, 15, 13, 27, 19, 24 and 20. If 13 is replaced by 31 then find the new median.

    A) 10                    

    B)   20     

    C) 30            

    D)               40

    E) None of these

    Correct Answer: B

    Solution :

    Explanation Arranging the given data in ascending order, 11, 15, 13, 27, 19, 24, 20, here \[\operatorname{no}. of observation = 7 \left( odd \right)\] \[\therefore  \,median = 19\], when 13 is replaced by 31, the data becomes as follows on arranging in ascending order. 11, 15, 19, 20, 24, 27, 31 \[\therefore  \,median = value of {{4}^{th}}observation\] Since 4th observation in new series is 20, new median is 20.    


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