MCQ
Find the average of first $100$ positive numbers:
- A$0$
- B$50$
- ✓$50.5$
- D$51$
✓
Answer
Correct option: C.
$50.5$
We know that sum of $1$ to $n$ numbers $ = \frac{\text{n}(\text{n+1})}{1}$
Then sum of $1$ to $100 = \frac{{100}(100+1)}{2} = \frac{{100}\times{101}}{2} = \frac{10100}{2} = 5050$
Then average of $1$ to $100$ positive numbers $ = \frac{5050}{100} = 50.5$
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