Mode example (Grouped data)

 

Below given is the data representing the scores of the students in a particular exam. Let us try to find the mode for this:

Exam Score (xi)

 (fi)

41-50

2

51-60

9

61-70

7

71-80

15

81-90

6

90-100

3

 

Modal class = 71 - 80 (This is the class with the highest frequency).

The Lower limit of the modal class (l) = 71,

Frequency of the modal class (f1) = 15,

Frequency of the preceding modal class (f0) = 7,

Frequency of the next modal class (f2) = 6,

and Size of the class interval (h) = 10.

Thus, the mode can be found by substituting the above values in the mode formula,

Therefore, the mode for the above dataset is 75.71.



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