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7th Class Mathematics Data Handling Question Bank Data Handling

  • question_answer
    If weights of 9 students (in kg) of a particular class are: 34, 35, 36, 40, 35, 35, 40, 45, 39,           Which of the following is in the order from the least to the greatest?   

    A)  Mean, Mode, Median

    B)  Mean, Median, Mode

    C)  Mode, Median, Mean

    D)  Mode, Mean, Median

    Correct Answer: C

    Solution :

    Arrangement of weights (in kg) of 9 students in ascending order is: 34, 35, 35, 35, 36, 39, 40, 40, 45 Sum of weights (in kg) of all students = 339 Mean \[=\frac{Sum\text{ }of\text{ }weights\text{ }of\text{ }all\text{ }students}{Number\text{ }of\text{ }students}\] \[=\frac{339}{9}=37.67\] Since, number of students is 9, which is odd. \[\therefore \] Median \[={{\left( \frac{9+1}{2} \right)}^{th}}\]   term = 5th term = 36 Since, 35 occurs most number of times. \[\therefore \] Mode = 35. Hence, Mode < Median < Mean.


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