MathematicsA survey was conducted regarding the heights of students of class X   in a school and the recorded data is as follows, Find the median of the data.

A survey was conducted regarding the heights of students of class X   in a school and the recorded data is as follows,


Find the median of the data.


  1. A
    135
  2. B
    142
  3. C
    145
  4. D
    146 

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    Solution:

    The following data is given.
    To find median of the data, apply this formula
     Median =1+ N 2 C f ×h  
    In the formula, l is the lower limit of the median class, N denotes the total number of observations, C is the cumulative frequency of the preceding class, f is the frequency of each class and h is the class size.
    Find median of the following data,
    Here, N=53.
    N2=532
    N2=26.5
    Subsequently, 31 is just greater than 26.5, therefore the median class is 145-150.
     Find the median of the data,
     Median =1+ N 2 C f ×h  
    Median=145+31 - 1120×5
    Median=146
    Considering the circumstances discussed above, the value of median is 146.
    Hence, option 4 is correct.
     
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