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SMK Teknologi dan Rekayasa

Soal 106 Ukuran Pemusatan


Diketahui\ data\ nilai\ ulangan\ matematika\ pada\ suatu\ kelas\\seperti\ tampak\ pada\ tabel\ di\ bawah\ ini.

Modus\ dari\ data\ tersebut\ adalah\ ....\\a.\ \ 73,5\ \ \ \ \ \ \ \ \ \ b.\ \ 74,0\ \ \ \ \ \ \ \ \ \ c.\ \ 74,5\ \ \ \ \ \ \ \ \ \ d.\ \ 75,0\ \ \ \ \ \ \ \ \ \ e.\ \ 75,9
Jawaban: a

Rumus\ Modus\ data\ berkelompok:
\mathbf{Modus=Tb+\left (\frac{d_{1}}{d_{1}+d_{2}} \right )i}

\begin{array}{rcl}Kelas\ modus&=&70\ -\ 79\\Tb&=&70-0,5=69,5\\d_{1}&=&15-13=2\\d_{2}&=&15-12=3\\i&=&60-50=10\end{array}
\begin{array}{rcl}Modus&=&69,5+\left (\frac{2}{2+3} \right )10\\\\&=&69,5+\left (\frac{2}{5} \right )10\\\\&=&69,5+4\\\\&=&73,5\end{array}

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