The table above shows the weights of twelve mathematics students. Find the modal weight.
Attached Figure / Diagram
A
54
B
58
C
60
D
62
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Total number of students = x + 1 + 2x + 2 + 3 = 3x + 6 = 12
Solve for x:
3x + 6 = 12
3x = 6
x = 2
Now substitute x = 2:
- 54 kg: 2 students
- 56 kg: 1 student
- 58 kg: 4 students (2x = 4)
- 60 kg: 2 students
- 62 kg: 3 students
The frequencies are: 2, 1, 4, 2, 3.
The highest frequency is 4 (at 58 kg). Thus, Modal weight: 58 kg
Source: WAEC / JAMB / NECO Classroom Archive (Record #74199)