Statistics
Mean
JEE Main 2019
Grade 11
Question:
The mean of the first $n$ natural numbers $1, 2, 3, \dots, n$ is:
(1) $\frac{n + 1}{2}$
(2) $\frac{n}{2}$
(3) $\frac{n - 1}{2}$
(4) $\frac{n(n + 1)}{2}$
Step-by-Step Solution
Key Concept: Use the formula for the sum of the first $n$ natural numbers, $\frac{n(n + 1)}{2}$, and divide it by the number of terms, $n$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)