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?ÂSolution
Let’s break it down cleanly. Total faculty = 500 Females = 60% of 500 = 300 Males = 500 − 300 = 200 Now use weighted average. Average height = [(300 × 162) + (200 × 168)] ÷ 500 = (48600 + 33600) ÷ 500 = 82200 ÷ 500 = 164.4 cm
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