The new average age of the group is 12.5 Years if The average age of a group of 8 persons was 14 years A person with age 28 years left the group and a new person with age 16 years joined the group
Given:
- The average age of a group of 8 persons was 14 years
- A person with age 28 years left the group
- A new person with age 16 years joined the group
To Find:
- The new average age of the group
Solution:
- [tex]\text{Mean}=\dfrac{\text{sum of all the obervations}}{\text{number of the observations}}[/tex]
Step 1:
Find Total age of the group
Number of Persons x Average Age
8 x 14 = 112 years
Step 2:
One person left and one person joined hence total persons are same as earlier 8
Step 3:
Find New Total age
112 - 28 + 16
= 100 Years
Step 4:
Find New Average age
100/8
= 12.5 Years
Hence , The new average age of the group is 12.5 Years