Statistics
Standard Deviation
Premium Question
Grade 11
Question:
The standard deviation of the first 10 natural numbers is:
(1) $\frac{\sqrt{33}}{2}$
(2) $\frac{33}{4}$
(3) $\frac{\sqrt{33}}{4}$
(4) $\frac{33}{2}$
Step-by-Step Solution
Key Concept: Use the standard result that the variance of the first $n$ natural numbers is $\frac{n^2 - 1}{12}$ to first find the variance for $n = 10$, and then take its square root.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)