Question 73

Study the given graph and answer the question that follows.
The graph shows the average height (in cm) of the boys and the girls of five classes in a school.


If the numbers of girls and the numbers of boys in Class C are equal, then what is the combined average height of all the students of Class C, taken together?

Solution

Let's assume the numbers of girls in Class C is 'y'.

If the numbers of girls and the numbers of boys in Class C are equal,

numbers of girls in Class C = the numbers of boys in Class C = y

Total height of girls in Class C = $$145\times y$$ = 145y

Total height of boys in Class C = $$155\times y$$ = 155y

Average height of all the students of Class C, taken together = $$\frac{145y+155y}{y+y}$$

= $$\frac{300y}{2y}$$

= 150 cm


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