Question

The variance of the first 50 even natural numbers is:

• A. 833
• B. \( \frac{437}{4} \)
• C. \( \frac{833}{4} \)
• D. 437

Hint:

For arithmetic progressions, use the mean and variance formulas effectively: - Mean = \( \frac{\text{Sum of terms}}{\text{Number of terms}} \), - Variance = \( \text{Mean of squares} - (\text{Square of mean}) \).