Candidates of four schools appear in a mathematics test. The data were as follows :

Schools	No. of Candidates	Average Score
I	60	75
II	48	80
III	Not available	55
IV	40	50.

If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

Given:

The average score of the candidates of all the four schools is 66.

To do:

We have to find the number of candidates that appeared from school III.

Solution:

Let the number of candidates that appeared from school III be $p$.

Therefore,

 We know that,

Mean$=\frac{\sum fx}{\sum f}$

Therefore,

Mean $66=\frac{10340+55p}{148+p}$

$66(148+p)=10340+55p$

$9768+66p=10340+55p$

$66p-55p=10340-9768$

$11p=572$

$p=\frac{572}{11}$

$p=52$

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Updated on: 10-Oct-2022

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