Question: The average height of 13 girls in a class is $ 144\frac{8}{13}cm. $ The average height of 11 boys in the class is $ 169\frac{5}{11}cm. $ There are only 24 students in the class. What is the overall average height (in cm) of all the students together in the class? [IBPS (SO) 2014]
Options:
A) $ 156\frac{3}{4} $
B) $ 156 $
C) $ 153 $
D) $ 159 $
E) $ 153\frac{3}{5} $
Show Answer
Answer:
Correct Answer: B
Solution:
- Here, sum of the total height of 13 girls in the class
$ =13\times \frac{1880}{13}=1880cm $
Sum of the total height of 11 boys in the class
$ =11\times \frac{1864}{11}=1864cm $
$ \therefore $ Overall average height
$ =\frac{1880+1864}{24}=156cm $