SarkariPYQ

SSC MTS 2022 PYQ — Question 51

SSC MTS - 19 July 2022 - Shift 1 • Quantitative Aptitude • Q51

Back to paper

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?

 

 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 150 cm.

Concept Used :

Average=SumoftermsNumberoftermsAverage = {Sum of terms \over Number of terms}

Sum of terms = Average × Number of terms

Explanation:

Let the number of boys and girls be x.

From the given graph, the average height of girls in class C = 145 cm

The height of total girls in class C = 145x

And the average height of boys in class C = 155 cm

The height of total boys in class C = 155x

Now, the total height of both girls and boys = 145x + 155x = 300x.

The average height of all the students in class C = 300x/2x = 150.

Hence the required average height of all the students in class C is 150 cm.