Question

1) Considere a amostra com valores de dados de 10, 20, 12, 17 e 16. Calcule a
variância e o desvio-padrão.

Answer 1

$\small\boxed{\begin{array}{l}\sf\overline{x}=\dfrac{10+20+12+17+16}{5}\\\\\sf\overline{x}=\dfrac{75}{5}\\\\\sf x=15\\\sf \sigma^2=\dfrac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5}\\\\\sf \sigma^2=\dfrac{64}{5}\\\\\huge\boxed{\boxed{\boxed{\boxed{\sf\sigma^2=12,8}}}}\end{array}}$

$\Large\boxed{\begin{array}{l}\sf\sigma=\sqrt{\sigma^2}\\\sf \sigma=\sqrt{12,8}\\\sf \sigma\approxeq3,57\end{array}}$