The following table shows the number of hours spent studying for a group of 50 students:
Number of hours | Number of student |
0-4 hours | 10 |
4-8 hours | 20 |
8-12 hours | 15 |
12-16 hours | 3 |
16-20 hours | 2 |
What is the mode of the number of hours spent studying?
2
4
6
8
Option (c) 6
To find the mode, we need to determine which interval contains the most frequently occurring number of hours spent studying.
First, we can calculate the midpoint of each interval by adding the upper and lower limits and dividing by 2:
Number of hours | Number of student | Mid Point |
0-4 hours | 10 | 2 |
4-8 hours | 20 | 6 |
8-12 hours | 15 | 10 |
12-16 hours | 3 | 14 |
16-20 hours | 2 | 18 |
Next, we can find the interval with the highest frequency, which in this case is the interval of 4-8 hours, with 20 students.
Since this interval has the highest frequency, the mode of the number of hours spent studying is 6.
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