MathematicsCalculate the value of mode for the following frequency distribution:

Calculate the value of mode for the following frequency distribution:


  1. A
    24.4
  2. B
    24.5
  3. C
    24.6
  4. D
    24.7 

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    Solution:

    Here, the classes are not in the inclusive form. So, we first convert them in inclusive form by subtracting h2 from the lower limit and adding h2 to the upper limit of each class, where h is the difference between the lower limit of a class and the upper limit of the preceding class.
    To find the modal class, we use the grouping method:
    Since 24.5−28.5 has the maximum numbers of bars. So, 24.5−28.5 is the modal class.

    l=24.5,h=4,f=14,f1​=14,f2​=15
    Then, Mode=l+f-f12f-f1-f2×h
    Putting the values, 24.5+14-1428-14-15×4
    Mode=24.5+0 = 24.5
    Hence (2) is the correct option.
     
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