Question

In class a there are 63 students whose average is 32, and in class b there are 21 students whose average is 44 , then find the overall average?

Answer 1

The overall average is 35.

---------------------------------------------------------------------------------------

Let's understand a few concepts:

To solve the given problem we will use the following formula of average:

$\boxed{\bold{Average = \frac{Sum \:of\:observations}{No.\: of\:observations } }}$

--------------------------------------------------------------------------------------

Let's solve the given problem:

Class a:

The no. of students = 63

The average of students = 32

∴ The sum of observations is,

= average × no. of observations

= 63 × 32

= 2016

Class b:

The no. of students = 21

The average of students = 44

∴ The sum of observations is,

= average × no. of observations

= 44 × 21

= 924

The total sum of observations (class a + class b) = 2016 + 924 = 2940

The total no. of students in class a and class b = 63 + 21 = 84

Therefore,

The overall average is,

= $\frac{Total \:sum\:of\:observations}{Total\:no.\:of\:students}$

= $\frac{2940}{84}$

= $\bold{35}$

Thus, the overall average is 35.

-----------------------------------------------------------------------------------

Learn more on brainly.in:

brainly.in/question/18762658