The mode of the following distribution is Class interval :1-5 6-10 11-1516-20 21-25 Frequency: 471086

The mode of the following distribution is 

Class interval :1-5 6-10 11-1516-20 21-25 
Frequency: 471086

  1. A

    14.5

  2. B

    16.5

  3. C

    10.5

  4. D

    13.5

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    Solution:

    The given distribution is not a continuous 

    frequency distribution. So, we first convert

     it into a continuous frequency distribution 

    as given below: 

      

    Class interval:0.5-5.55.5-10.510.5-15.515.5-20.520.5-25.5 
    Frequency: 471086

    Clearly, 10.5-15.5 is the modal class such that

      l=105,f=10,fi=7,f2=8   and h=5

        Mode  e=l+ff12ff1f2×h=10.5+35×5=13.5

     

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