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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 165 Correct Answer Incorrect Answer
      B 164 Correct Answer Incorrect Answer
      C 164.5 Correct Answer Incorrect Answer
      D 162 Correct Answer Incorrect Answer

      Solution

      Total faculty= 750 Percentage of females= 50% Number of females = 50 /100 x 750 =375 Number of males = 750-375 = 375 Average height of females = 162 cm Average height of males = 168 cm The average height of all faculty members: Average height = [(375x162) + (375 × 168)]/ 750 = 375[162+168]/750 =375×330/750 =165cm.

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