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      Question

      The 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?
      A 168.6 Correct Answer Incorrect Answer
      B 164.4 Correct Answer Incorrect Answer
      C 161.2 Correct Answer Incorrect Answer
      D 160.5 Correct Answer Incorrect Answer

      Solution

      Total faculty: 750 Percentage of females: 60% Number of females = 60 /100 x 750 =450 Number of males = 750-450 = 300 Average height of females = 162 cm Average height of males = 168 cm The average height of all faculty members: Average height = [(450x162) + (300 Γ— 168)]/ 750 = [72900+50400]/750 =123300/750 =164.4cm.

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