Question

in a class, marks scored by on of the students are written as 92 instead of 56. due to this, the average marks of the class is increased to 72.50 marks from 71.75. if the marks of 2 more students are included nas 53 and 54 marks, then the average marks of the students will be?​

Answer 1

Answer:

Lets take total number of pupils =x

So, As per question, Total increase in marks=x×

2/1=x/2

So ,

X/2=83−63=20

x=40

Answer 2

Average

Given:

Marks of one student is written as 92 instead of 56.

Average marks increased from 71.75 to 72.50.

Marks of 2 new students got added as 53 and 54 marks respectively.

To find:

After adding marks of new students new average=?

Explanation:

Let the no. of students initially be x.

Average was $71.75$

Increase in marks =$(92-56)=36$

Increased average=$72.50$

So,

increase in marks will be equal to the product of increase in average and number of students.

$(72.50-71.75)x=36\\\\=>0.75x=36\\\\=>x=48$

Hence, number of students is 48 initially, after that 2 new student's average got added, so,

Total marks =$(48\times71.75)+53+54=3551$

Total number of students will be $(48+2)=50$

So, new average will be $\frac{3551}{50}=71.02$

Hence the required answer is 71.02.