In a college, there are 600 faculty members, out of which 40% are females. The average height of males is 170 cm, and the average height of females is 160 cm. What is the average height of the entire faculty?
Show answer & explanation
Correct answer: B
Explanation
Given:
Total faculty = 600
Females = 40%
Average height of males = 170 cm
Average height of females = 160 cm
Formula:
Average = (Sum of total values) ÷ (Total number)
Females = 40% × 600 = 240
Males = 600 − 240 = 360
Total height = (360 × 170) + (240 × 160)
Total height = 61200 + 38400 = 99600
Average height = 99600 ÷ 600 = 166
Average height of the entire faculty = 166 cm