The average age of five persons is 28 years. If one of them is excluded the average decreases by 2 years. The age of the excluded person in years is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 36.
Given:
The average age of five persons is 28 years.
If one of them is excluded the average decreases by 2 years
Formula used:
Average = Sum of observations/number of observation ---- (1)
Calculations:
Sum of the age of the five persons = 28 × 5 = 140 years
According to the question,
If one person is excluded the average becomes = 28 - 2 = 26 years
Sum of the age of remaining four persons = 26 × 4 = 104 years
Age of the excluded person = 140 - 104 = 36 years