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. Find the new average age of the group. *​

Answers 2

Answer:

1. 13yrs

2. 14yrs

3. 15.5yrs

4. 12.5yrs

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

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