The following table shows the number of marks scored by some top students of the world in an international Mathematics competition.
Marks Scored | Number of student |
1000-2000 | 20 |
2000-3000 | 10 |
3000-4000 | 15 |
4000-5000 | 30 |
5000-6000 | 25 |
6000-7000 | 10 |
What will be the mode of the above data?
50
60
30
80
Option (c) 30
The following table shows the number of marks scored by some top students of the world in an international Mathematics competition.
Marks Scored | Number of student |
1000-2000 | 20 |
2000-3000 | 10 |
3000-4000 | 15 |
4000-5000 | 30 |
5000-6000 | 25 |
6000-7000 | 10 |
Modal class is the class that has the highest frequency.
The highest frequency in the table is 30 which occurs in the interval 4000-5000.
Therefore, the modal class is 4000-5000.
We know the general formula for a mode of grouped data is,
Where, the lower limit of the modal class, L = 4000.
Frequency of the modal class, .
Frequency of the class preceding the modal class, .
Frequency of the class succeeding the modal class, .
Size of the class interval, H = 1000.
Therefore, from equation (1), we have,
Therefore, the mode of the given data is 4750.
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