Average of the even numbers to 50 — Aptitude Question
Average of the even numbers to 50: What is the average of all even numbers from 2 to 50? Answer and worked solution on CodeKairo.
- Topic: Averages
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 35 seconds
Question
What is the average of all even numbers from 2 to 50?
Options
- 24
- 25
- 26
- 28
Show the answer and the worked solution
Correct answer: C. 26
Worked solution
- The numbers are evenly spaced from 2 to 50.
- Average = (2 + 50)/2 = 26.
Answer: 26.
The idea
Evenly spaced again: midpoint of the ends. The count (25 numbers) is never needed for the average, only for the sum.
Shortcut. The first n even numbers average n + 1; from 2 to 50 there are 25 of them, so 26.
Common trap. "25" — the count of even numbers from 2 to 50, not their average.