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SMK Teknologi dan Rekayasa

Soal 111 Ukuran Penyebaran


Simpangan\ baku\ dari\ data:\ \ 4,\ 7,\ 3,\ 8,\ 6,\ 5,\ 12,\ 3\ \ adalah\ ....\\a.\ \ \sqrt{2}\ \ \ \ \ \ \ \ \ \ b.\ \ 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ c.\ \ 3\sqrt{2}\ \ \ \ \ \ \ \ \ \ d.\ \ 4\sqrt{2}\ \ \ \ \ \ \ \ \ \ e.\ \ 2\sqrt{3}
Jawaban: b

Rumus\ Simpangan\ Baku\ data\ tunggal:
Simpangan\ Baku=\sqrt{\frac{\sum_{i=1}^{n}(x_{i}-\bar{x})^{2}}{n}}
Data:\ \ \ \ 4,\ 7,\ 3,\ 8,\ 6,\ 5,\ 12,\ 3\ \ \ \ \to \ \ \ \ n=8
Rata-rata:\ \ \ \ \ \ \ \ \ \bar{x}=\frac{4+7+3+8+6+5+12+3}{8}=\frac{48}{8}=6

Simpangan\ baku=\sqrt{\frac{64}{8}}=\sqrt{8}=\sqrt{4.2}=\sqrt{4}\times \sqrt{2}=2\sqrt{2}

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