Question

The average marks of 19 students in a class is 56. If the highest and lowest marks are subtracted from it the new average becomes 54. What is the average of the lowest and highest marks obtained?

Answer 1

the highest mark of the student is 54 and the lowest mark of the student are 37 because we can minus 56 from 19 the answer is 37

Answer 2

Given:

Average marks of 19 students in class=56

New average=54

To find:

The average of the lowest and highest marks obtained

Solution:

We can find the average by following the given process-

We know that the average is obtained by dividing the sum of marks of all students by the total number of students.

Average marks of class= Sum of marks of all students/ Total number of students

Let the sum of marks of all students be S.

So, 56=S/19

S=56×19

S=1,064

Now, the highest and lowest marks obtained are deducted from the sum to obtain a new average.

Let the highest marks obtained in class be H and the lowest marks be L.

New average= (Sum of marks of all students-highest marks-lowest marks)/ (Total number of students-2)

54= (1064-H-L)/17

54×17=(1064-H-L)

H+L=1064-54×17

H+L=146

The average of the lowest and highest marks obtained=H+L/2

=146/2

=73

Therefore, the average of the lowest and highest marks obtained is 73.