Question

jawab dengan benar dan dengan penjelasan​

Answer 1

Verified answer

Penjelasan dengan langkah-langkah:

StatisTik a

menentukan simpangan baku

rata rata data tersebut

[tex]\begin{aligned} \overline{x}&= \frac{\sum x_{i}}{n}\\&=\frac{6+7+8+8+5+6+9}{7}\\&=\frac{49}{7}\\&=7\end{aligned}[/tex]

Lanjut dengan

[tex]\begin{aligned}\sum(x_{i}-\overline{x})^2&=(6-7)^2+(7-7)^2+(8-7)^2\cdots\\&\cdots+(8-7)^2+(5-7)^2+(6-7)^2+(9-7)^2\\&=1+0+1+1+4+1+4\\&=12\end{aligned}[/tex]

Kemudian

[tex]\begin{aligned}S&=\sqrt{\frac{\sum(x_i -\overline{x})^2}{n}}\\&=\sqrt{\frac{12}{7}}\\&=\frac{2\sqrt{3}}{\sqrt{7}}\\&=\frac{2\sqrt{3}}{\sqrt{7}}\times \frac{\sqrt{7}}{\sqrt{7}}\\&=\boxed{\frac{2}{7}\sqrt{21}}\end{aligned}[/tex](B)