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SMK Teknologi dan Rekayasa

Soal 109 Ukuran Penyebaran


Simpangan\ kuartil\ dari\ data\ \ 3,\ 5,\ 9,\ 10,\ 10,\ 12,\ 13,\ 15,\ 15\ \ adalah\ ....\\a.\ \ 3,5\ \ \ \ \ \ \ \ \ \ b.\ \ 7\ \ \ \ \ \ \ \ \ \ c.\ \ 10\ \ \ \ \ \ \ \ \ \ d.\ \ 12\ \ \ \ \ \ \ \ \ \ e.\ \ 14
Jawaban: a

Rumus\ Simpangan\ Kuartil:
\mathbf{Q_{d}=\frac{1}{2}(Q_{3}-Q_{1})}
Data\ terurut:
3\ \ \ \ 5\ \ \ \ 9\ \ \ \ 10\ \ \ \ 10\ \ \ \ 12\ \ \ \ 13\ \ \ \ 15\ \ \ \ \ 15\\\begin{matrix} & & \end{matrix}\ \mathbf{Q_{1}}\begin{matrix} & & & & \end{matrix}\ \ \mathbf{Q_{2}}\begin{matrix} & & & & & \end{matrix}\ \mathbf{Q_{3}}
Q_{3}=\frac{1}{2}(13+15)=\frac{1}{2}\times 28=14
Q_{1}=\frac{1}{2}(5+9)=\frac{1}{2}\times 14=7
\mathbf{Q_{d}=\frac{1}{2}(14-7)=\frac{1}{2}\times 7=3,5}

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