MathematicsThe following frequency distribution showing the marks obtained by 100 students in Math. Find the median.

The following frequency distribution showing the marks obtained by 100 students in Math. Find the median.


  1. A
    40
  2. B
    50
  3. C
    60
  4. D
    70  

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    Solution:

    The following frequency distribution showing the marks obtained by 100 students in Math:
    From the given table, we have the frequency distribution table as,
    We have,
    N =100 We know, n= N 2 = 100 2 =50.  
    Here, the cumulative frequency just greater than 50 is 78 and the corresponding class is 4050.  
    Therefore, the median class is 4050.  
    The general formula for median is given as,
    Median =l+N2-C.F.f×h Where,
    l = lower limit of median class =40.
    C.F. = C.F. of previous class =50.
    f = frequency of median class =50.
    h = width of median class = upper limit - lower limit
    h=50-40 h=10 Substitute in formula, we have,
    Median =40+(1002-5050)×10  Median=40+(50-5050)×10  Median=40+0  Median=40 Therefore, the median value is 40.
    Hence, option (1) is correct.
    Median=40+(50-5050)×10  Median=40+0  Median=40 Therefore, the median value is 40.
    Hence, option (1) is correct.
     
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