Calculate the variance of \(\sqrt{2}\), (1 + \(\sqrt{2}\)) and (2 + \(\sqrt{2}\))
FURTHER MATHEMATICS
WAEC 2020
Calculate the variance of \(\sqrt{2}\), (1 + \(\sqrt{2}\)) and (2 + \(\sqrt{2}\))
- A. 0
- B. \(\sqrt{\frac{2}{3}}\)
- C. \(\frac{2}{3}\)
- D. 2
Correct Answer: C. \(\frac{2}{3}\)
Explanation
| x | (x - \(\bar{x}\)) | (x - \(\bar{x}\)) |
\(\sqrt{2}\) 1 + \(\sqrt{2}\) 2 + \(\sqrt{2}\) | -1 0 1 | 1 0 1 \(\overline{2}\) |
variance = \(\frac{\sum(x - \bar{x})^2}{n}\)
= \(\frac{2}{3}\)
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