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
waec 2020furthermathematics

The correct answer is C. \(\frac{2}{3}\)

x (x - \(\bar{x}\)) (x - \(\bar{x}\))
\(\sqrt{2}\) 1 + \(\sqrt{2}\) 2 + \(\sqrt{2}\)  -1 0 1 1 0 1 \(\overline{2}\)
variance = \(\frac{\sum(x - \bar{x})^2}{n}\) = \(\frac{2}{3}\) Previous question Next question