Question
Download Solution PDFThe university has 750 faculty (male and female only) out of which the females are 60%. The average height of females is 162 cm and that of males is 168 cm. What is the average height of the faculty (in cm) of the university?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total faculty = 750
Percentage of females = 60%
Average height of females = 162 cm
Average height of males = 168 cm
Formula used:
Average height of faculty = (Total height of females + Total height of males) / Total faculty
Calculation:
Number of females = 60% of 750 = 0.60 × 750 = 450
Number of males = 750 - 450 = 300
Total height of females = 450 × 162 = 72900 cm
Total height of males = 300 × 168 = 50400 cm
⇒ Average height of faculty = (72900 + 50400) / 750
⇒ Average height of faculty = 123300 / 750
⇒ Average height of faculty = 164.4 cm
∴ The correct answer is option 4.
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