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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
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Correct Answer: Option C
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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