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Statistics

Variance

IIT-JEE 2003

Grade 11

Question:

The variance of the first 10 natural numbers is:

(1) $\frac{33}{4}$

(2) $\frac{99}{4}$

(3) $\frac{11}{4}$

(4) $\frac{33}{2}$

Step-by-Step Solution

Key Concept: Use the standard result that the variance of the first $n$ natural numbers is $\frac{n^2 - 1}{12}$, and substitute $n = 10$.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: (1)