A university has 500 faculty members (male and female only) out of which females are 60%.
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?
एक विश्वविद्यालय में 500 फैकल्टी मेंबर्स (केवल पुरुष और महिला) हैं, जिनमें से 60% महिलाएं हैं। महिलाओं की औसत लंबाई 162 cm और पुरुषों की औसत लंबाई 168 cm है।विश्वविद्यालय के फैकल्टी की औसत लंबाई (cm में) कितनी है?
Detailed Solution & Logic
Correct Answer:
164.4
Total faculty = 500
Female faculty = 60% of 500 = 300
Male faculty = 500 - 300 = 200
Average height =$ \frac{300 \times 162 + 200 \times 168}{500} $
$ = \frac{48600 + 33600}{500} $
$ = \frac{82200}{500} = 164.4 $
164.4 cm
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