average marks of 18 girls and 12 boys are 30 and 38 then find average marks of whole class.
Answers
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Given:
Average marks of 18 g-irls=30
Average marks of 12 boys=38
To find:
The average marks of the whole class
Solution:
The average marks of the whole class are 33.2.
We can find the marks by following the given steps-
We know that the average marks can be obtained by dividing the total marks by the number of students.
Let the sum of marks of the 18 g-irls be G.
Similarly, let the sum of marks of the 12 boys be B.
Now, the average marks of g-irls=Sum of marks of g-irls/Number of g-irls
We are given that the average marks of 18 g-irls are 30.
On putting the values,
30=G/18
30×18=G
540=G
The average marks of 12 boys=Sum of marks of boys/ Number of boys
We are given that the average marks of 12 boys are 38.
On putting the values,
38=B/12
38×12=B
456=B
Now to calculate the average marks of the whole class, we need to add the marks of boys and g-irls.
The total marks of the entire class=Marks of g-irls+marks of boys
=540+456
=996
Total number of students in the class=number of g-irls+number of boys
=18+12
=30
The average of the whole class=996/30
=33.2
Therefore, the average marks of the whole class are 33.2.