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SMK Teknologi dan Rekayasa

Soal 112 Ukuran Penyebaran


Perhatikan\ tabel!

Jika\ diketahui\ rata-rata\ adalah\ 7,\ maka\ simpangan\ baku\ adalah\ ....\\a.\ \ \sqrt{7,5}\ \ \ \ \ \ \ \ \ \ b.\ \ \sqrt{8}\ \ \ \ \ \ \ \ \ \ c.\ \ \sqrt{5,7}\ \ \ \ \ \ \ \ \ \ d.\ \ \sqrt{3}\ \ \ \ \ \ \ \ \ \ e.\ \ \sqrt{1,5}
Jawaban: e

Rumus\ Simpangan\ Baku\ data\ tunggal:
Simpangan\ Baku=\sqrt{\frac{\sum_{i=1}^{n}f_{i}(x_{i}-\bar{x})^{2}}{\sum_{i=1}^{n}f_{i}}}

Rata-rata=\sqrt{\frac{\sum_{i=1}^{n}f_{i}x_{i}}{\sum_{i=1}^{n}f_{i}}}=\frac{280}{40}=7
Simpangan\ Baku=\sqrt{\frac{60}{40}}=\sqrt{\frac{3}{2}}=\sqrt{1,5}

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