1001 NASCAR Facts: Cars, Tracks, Milestones, Personalities

1001 NASCAR Facts: Cars, Tracks, Milestones, Personalities

Matematika Jawab no 2 jngan asal

Jawab no 2 jngan asal
  • Data dalam tabel

[tex]\color{cyan}\boxed{\begin{array}{c|c}\color{magenta}\bf Nomor~ sepatu &\color{magenta}\bf Banyak \: siswa\\\hline\color{magenta}\tt 36&\color{magenta}\tt 3\\\hline\color{magenta}\tt37&\color{magenta}\tt 3\\\hline\color{magenta}\tt 38& \color{magenta}\tt 7\\\hline\color{magenta}\tt 39&\color{magenta}\tt 4\\\hline\color{magenta}\tt 40& \color{magenta}\tt 7\\\hline\color{magenta}\tt 41&\color{magenta}\tt3\\\hline\color{magenta}\tt 42&\color{magenta}\tt 2\\\hline\color{magenta}\tt 44&\color{magenta}\tt 1 \\ \hline\color{magenta}\tt\sum&\color{magenta}\tt 30\end{array}}[/tex]

[tex] \\ [/tex]

  • Mean

[tex]\color{cyan}\boxed{\begin{array}{c|c|c}\color{magenta}\bf xi &\color{magenta}\bf fi&\color{magenta}\bf fi~.~xi\\\hline\color{magenta}\tt 36&\color{magenta}\tt 3&\color{magenta}\tt108\\\hline\color{magenta}\tt37&\color{magenta}\tt 3&\color{magenta}\tt 111\\\hline\color{magenta}\tt 38& \color{magenta}\tt 7&\color{magenta}\tt266\\\hline\color{magenta}\tt 39&\color{magenta}\tt 4&\color{magenta}\tt156\\\hline\color{magenta}\tt 40& \color{magenta}\tt 7&\color{magenta}\tt280\\\hline\color{magenta}\tt 41&\color{magenta}\tt3&\color{magenta}\tt123\\\hline\color{magenta}\tt 42&\color{magenta}\tt 2&\color{magenta}\tt84\\\hline\color{magenta}\tt 44&\color{magenta}\tt 1 &\color{magenta}\tt44\\ \hline\color{magenta}\tt\sum&\color{magenta}\tt 30&\color{magenta}\tt1.172\end{array}}[/tex]

.

[tex] \tt \bar{x} = \frac{ \sum \: fi \:. \:xi}{ \sum \: fi} [/tex]

[tex] \tt \bar{x} = \frac{1.172}{30} [/tex]

[tex] \tt \bar{x} =39[/tex]

[tex] \\ [/tex]

  • Median

[tex]\color{cyan}\boxed{\begin{array}{c|c|c}\color{magenta}\bf xi &\color{magenta}\bf fi&\color{magenta}\bf Fk\\\hline\color{magenta}\tt 36&\color{magenta}\tt 3&\color{magenta}\tt3\\\hline\color{magenta}\tt37&\color{magenta}\tt 3&\color{magenta}\tt 6\\\hline\color{magenta}\tt 38& \color{magenta}\tt 7&\color{magenta}\tt13\\\hline\color{orange}\tt 39&\color{orange}\tt 4&\color{orange}\tt17\\\hline\color{magenta}\tt 40& \color{magenta}\tt 7&\color{magenta}\tt24\\\hline\color{magenta}\tt 41&\color{magenta}\tt3&\color{magenta}\tt27\\\hline\color{magenta}\tt 42&\color{magenta}\tt 2&\color{magenta}\tt 29\\\hline\color{magenta}\tt 44&\color{magenta}\tt 1 &\color{magenta}\tt30\\ \hline\color{magenta}\tt\sum&\color{magenta}\tt 30&\color{magenta}\tt\end{array}}[/tex]

.

Letak median (warna jingga)

= n/2

= 30/2

= 15

.

[tex]\tt Me=\frac{X_{\frac{n}{2}}+X_{\frac{n}{2}+1}}{2}[/tex]

[tex]\tt Me=\frac{X_{\frac{30}{2}}+X_{\frac{30}{2}+1}}{2}[/tex]

[tex]\tt Me=\frac{X_{15}+X_{16}}{2}[/tex]

[tex]\tt Me=\frac{39+39}{2}[/tex]

[tex]\tt Me=\frac{39+39}{2}[/tex]

[tex]\tt Me=\frac{78}{2}[/tex]

[tex]\tt Me=39[/tex]

[tex] \\ [/tex]

  • Modus

Modus = 38 dan 40 dengan frekuensi sebanyak 7

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