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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?

A125.4

B176.4

C146.4

D164.4

Answer:

D. 164.4

Read Explanation:

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 = 300×162=48600300 \times 162 = 48600
Total height of males = 200×168=33600200 \times 168 = 33600

Combined total height = 48600+33600=8220048600 + 33600 = 82200

Average height of all faculty

Average=82,200500=164.4 cm\text{Average} = \frac{82{,}200}{500} = 164.4 \text{ cm}


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