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Mode of Ungrouped Data
    Mode: The value which occurs most is called mode. In other words the value of the observation which has maximum frequency in a data is called mode.

    Illustration 10
        The marks obtained by 10 students are as follows : 
        5, 6, 3, 7, 4, 6, 9, 2, 1, 6
        Find the mode of the marks.
    Solution
        Arranging the data in ascending order 
        We get 1, 2, 3, 4, 5, 6, 6, 6, 7, 9
        We can see that 6 occurs most of the time, hence 6 is the mode.

    Illustration 11
        Find the mode of the following data: 
        (i)     2, 2, 3, 3, 4, 4, 4, 5, 6, 6, 7
        (ii)     31, 35, 36, 33, 32, 35, 36, 31, 34, 33, 36, 34, 32, 32, 36, 34. 
    Solution    
        (i)     4 occurs the maximum number of times, i.e., 3
            Mode = 4 
        (ii)     Arranging data in the ascending order, we get
            31, 31, 32, 32, 32, 33, 33, 34, 34, 34, 35, 35, 36, 36, 36, 36. 
            Here 36 occurs the maximum number of times, i.e., 4

    Illustration 12
        Find the mode from the following data:

   

Solution   
        Here the maximum frequency is 7. 
        The marks obtained against 7 is 43 
        Hence,    Mode = 43 marks

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