7th Class Mathematics Data Handling Question Bank Data Handling

  • question_answer
    The heights of 10 students were measured in cm and the results are as follows: 147,139,135,136,149, 166, 152, 163, 155, 144.                           
    (i)  What is the range of the data?      
    (ii) What is the mean height of the students?                       
    (iii) How many students are there whose height is more than the mean height?                         

    A)
    (i) (ii) (iii)
    30 100.5 3
                   

    B)
    (i) (ii) (iii)
    31 148.6 5
                   

    C)
    (i) (ii) (iii)
    32 149 5
                   

    D)
    (i) (ii) (iii)
    28 148.6 4

    Correct Answer: B

    Solution :

              (i) Range = Maximum value-Minimum value  \[=166-135=31\] (ii) Mean height of students \[=\frac{Total\text{ }height\text{ }of\text{ }students}{Number\text{ }of\text{ }students}\] \[=\frac{\begin{align}   & 147+139+135+136+149+166+152 \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+163+155+144 \\ \end{align}}{10}\] \[=\frac{1486}{10}=148.6\] (iii) Height of students more than the mean height are 149,166, 152, 163, 155. i.e., 5 student's height is more than mean height.


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