AP EAMCET · Maths · Statistics
The variance of the first 50 even natural numbers is
- A \(\frac {833}{4}\)
- B \(833\)
- C \(437\)
- D \(\frac {437}{4}\)
Answer & Solution
Correct Answer
(B) \(833\)
Step-by-step Solution
Detailed explanation
Given, 50 even natural numbers are \(2,4,6, \ldots .100\) Mean, \(\bar{x}=\frac{\sum x i}{n}=\frac{2+4+6+\ldots+98+100}{50}\) \(\begin{aligned} & \bar{x}=\frac{2(1+2+3+\ldots+49+50)}{50} \\ & \bar{x}=\frac{2 \times 50 \times 51}{2 \times 50}=51 \end{aligned}\) Variance,…
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