Question

the average age of 35 students in a class was 15 years 4 months. three students of ages 18 years 1
month, 17 years 6 months and 15 years 9 months leave the class 8 students having average a
ge
as 16 years 5 months are newly admitted. the raised average age of the class is

Answer 1

New Average age = 15 year 5  months

Given : The average age of 35 students in a class was 15 years 4 months. three students of ages 18 years 1 month, 17 years 6 months and 15 years 9 months leave the class

8 students having average age as 16 years 5 months are newly admitted.

To Find : the new average age of the class

Solution:

$\text{Mean}=\frac{\text{sum of all the obervations}}{\text{number of the observations}}$

The average age of 35 students in a class was 15 years 4 months.

15 years 4 months = 15 * 12 + 4 = 184 months

Total age of 35 students = 35 *   184  =  6440 months

three students left age = 18 * 12 + 1  + 17 * 12 + 6  + 15 * 12 + 9 months

= 616 months

Age of 8 new students =  8 ( 16 * 12 + 5)  = 1576 months

Total new age = 6440 - 616 + 1576 =  7400 months

Total students = 35 - 3 + 8 = 40

Average New age  = 7400/40

= 740/4

= 185  months

= 15 year  5 months

New Average age = 15 year 5  months

1 month more than previous

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