A university has 500 faculty members (male and female only) out of which females are 60%. The average height of females is 162 cm and that of males is 168 cm. What is the average faculty height (in cm) of the university?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 164.4.
Total faculty = 500
Females = 60% of 500 = 0.6 × 500 = 300
Males = 500 − 300 = 200
Total height of females = 300 × 162 = 48,600 cm
Total height of males = 200 × 168 = 33,600 cm
Total height of all faculty = 48,600 + 33,600 = 82,200 cm
Average = 82,200/500 = 164.4 cm