Question

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?

• A. 125.4
• B. 176.4
• C. 146.4
• D. 164.4

Answer 1

Answer:

D. 164.4

Total faculty members = 500

Females = 60% of 500 = 300
Males = 40% of 500 = 200

Average height of females = 162 cm
Average height of males = 168 cm

Calculate total height

Total height of females = $300 \times 162 = 48600$
Total height of males = $200 \times 168 = 33600$

Combined total height = $48600 + 33600 = 82200$

Average height of all faculty

$\text{Average} = \frac{82{,}200}{500} = 164.4 \text{ cm}$