The university has 750 faculty (male and female only) out of which the females are 60%. The average height of females is 162cm and that of males is 168cm. What is the average height of the faculty (in cm) of the university?

We can solve this using the ratio of female to male faculties.
Percentage of females =60%

Percentage of males =100%−60%=40%

The ratio of Females to Males is:

Ratio=60:40=3:2
Using the weighted average formula:

Average Height=
3+2
(3×162)+(2×168)
​

Average Height=
5
486+336
​

Average Height=
5
822
​
=164.4cm