Question

Average of 6 students marks is 60 , what is the new average if a student of marks 110 is taken out ?

Answer 1

let sum of 5 student marks = x

x+ 110)/6 =60
x= 360-110
= 250

new average = 250/5 = 50

Answer 2

Given,

Average of the marks of 6 students = 60

To find,

The new average if a student of marks 110 is taken out.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The average value of a set of observations

= (sum of all the observations)/(total number of observations)

{Statement-1}

According to the question;

Average of the marks of 6 students = 60

=> (sum of the marks of 6 students)/(6 students) = 60

=> (sum of the marks of 6 students) = 60×6

=> sum of the marks of 6 students = 360

{Equation-1}

Now, when a student of marks 110 is taken out;

Total number of students now = 6-1 = 5

The sum of the marks of these 5 students

= (sum of the marks of 6 students) - (marks of the student taken out)

= 360-110 = 250

So, the new average of the leftover students

= (sum of all the observations)/(total number of observations)

= (sum of the marks of the 5 students)/(5 students)

= 250/5 = 50

Hence, the new average, if a student of marks 110 is taken out, is equal to 50.