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Question

This data set is an example of _________ .

Sport Number of students
Basketball 78
Football 67
Volleyball 43
Hockey 38
Cricket 78
Table Tennis 67
Badminton 49
Golf 21

A
Trimodal data set
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B
Biomodal data set
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C
Single mode data
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D
No mode data set
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Solution

The correct option is B Biomodal data set
To find the mode of the given data, we first arrange the data into an ordered list of the number of students and its frequency of occurrence.
Number of students Frequency
78 2
67 2
43 1
38 1
49 1
21 1

From the table given above, we can see that the frequency of both 78 and 67 is 2.
Thus, the given data set has 2 modes: 78 and 67.

Hence, the given data set is an example of a bimodal data set.

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