| 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] |
A) \[156\frac{3}{4}\]
B) \[156\]
C) \[153\]
D) \[159\]
E) \[153\frac{3}{5}\]
Correct Answer: B
Solution :
| Here, sum of the total height of 13 girls in the class |
| \[=13\times \frac{1880}{13}=1880\,\,cm\] |
| Sum of the total height of 11 boys in the class |
| \[=11\times \frac{1864}{11}=1864\,\,cm\] |
| \[\therefore \]Overall average height |
| \[=\frac{1880+1864}{24}=156\,\,cm\] |
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