The mean heights of three groups of students consisting of 20, 16 and 14 students
FURTHER MATHEMATICS
WAEC 2022
The mean heights of three groups of students consisting of 20, 16 and 14 students each are 1.67m, 1.50m and 1.40m respectively. Find the mean height of all the students.
- A. 1.63m
- B. 1.54m
- C. 1.52m
- D. 1.42m
Correct Answer: B. 1.54m
Explanation
for 20 students, mean = 1.67
| μ | = | ∑fx f |
∑fx = μf
∑fx = 20 × 1.67 = 33.4
for group 2
∑fx = 16 × 1.50 = 24
for group 3
∑fx = 14 × 1.40 = 19.6
33.4 + 24 + 19.6 = 77
∑f = 20+16+14 = 50
| μ | = | 77 50 | = | 1.54m |
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