# Averages Part 8

Problem 1: The average marks secured by 36 students was 52. But it was discovered that a term 64 was misread as 46. What is the correct mean of marks?

Solution:

64 – 46 = 18

$52+\frac{18}{36}=52.50$

Problem 2: The average age of the four players is 20 years. If the age of the coach is also included, the average age is increased by 20%. The age of the coach is?

Solution:

$20\times&space;\frac{1}{5}=4$

$20+\frac{5\times&space;4}{20}=40$

Problem 3: The age of the captain of a cricket team of 11 members is 26 years and the wicketkeeper of the team is 3 years older than the captain, if the ages of these two excluded then the average age of the team is one year less than the average age of the whole team. What is the average age of the team?

Solution:

Captain =26

Wicket keeper = 29

11-2=9

2a+9*1=26+29

2a = 55-9 = 46

a = 23