Question

S² = [(0)² + (-2)² + (-2)² + (4)²]
como calcular desvio padrão?

Answer 1

Resposta:

S = 2√6, S = -2√6

Explicação passo-a-passo:

$S^2=\left(\left(0\right)^2+\left(-2\right)^2+\left(-2\right)^2+\left(4\right)^2\right)\\S^2=0+\left(-2\right)^2+\left(-2\right)^2+4^2\\S^2=0+\left(-2\right)^2\cdot \:2+4^2\\S^2=0+2^3+4^2\\S^2=2^3+4^2\\S^2=8+4^2\\S^2=8+16\\S^2=24$

$S=\sqrt{24},\:S=-\sqrt{24}$

$\sqrt{24}\\=\sqrt{2^3\cdot \:3}\\=\sqrt{2^2\cdot \:2\cdot \:3}\\=\sqrt{2^2}\sqrt{2\cdot \:3}\\=2\sqrt{2\cdot \:3}\\=2\sqrt{6}$

$S=2\sqrt{6},\:S=-2\sqrt{6}$