a. Carilah mean dari tabel ini!
b. carilah median dari tabel ini
[tex]\color{cyan}\boxed{\begin{array}{c|c}\color{magenta}\sf NILAI & \color{magenta}\sf FREKUENSI\\\hline\color{magenta}\tt 65-69& \color{magenta}\tt5\\\hline\color{magenta}\tt70-74& \color{magenta}\tt 4 \\\hline\color {magenta}\tt 75-79&\color{magenta}\tt 6 \\\hline\color{magenta}\tt 80-84&\color{magenta}\tt 3\\\hline\color{magenta}\tt 85-89& \color{magenta}\tt5\\\hline\color{magenta}\tt 90-94&\color{magenta}\tt 2 \end{array}}[/tex]
[tex] \\ [/tex]
1. Mean
[tex]\color{cyan}\boxed{\begin{array}{c|c|c|c}\color{magenta}\sf x_i& \color{magenta}\sf f_i &\color{magenta}\tt x_i &\color{magenta}\sf f_i~.~x_i\\\hline\color{magenta}\tt 65-69& \color{magenta}\tt5& \color{magenta}\tt 67& \color{magenta}\tt335\\\hline\color{magenta}\tt70-74& \color{magenta}\tt 4 & \color{magenta}\tt 72&\color{magenta}\tt288 \\\hline\color {magenta}\tt 75-79&\color{magenta}\tt 6 &\color{magenta}\tt 77 & \color{magenta}\tt 462\\\hline\color{magenta}\tt 80-84&\color{magenta}\tt 3&\color{magenta}\tt 82& \color{magenta}\tt 246\\\hline\color{magenta}\tt 85-89& \color{magenta}\tt5&\color{magenta}\tt87&\color{magenta}\tt 435 \\\hline\color{magenta}\tt 90-94&\color{magenta}\tt 2&\color{magenta}\tt 92&\color{magenta}\tt 184\\\hline\color{magenta}\tt\sum&\color{magenta}\tt 25&\color{magenta}\tt8.100 &\color{magenta}\tt 1.950\end{array}}[/tex]
.
[tex] \sf\bar{x} = \frac{Σfi \: . \: xi}{Σfi}[/tex]
[tex] \sf\bar{x} = \frac{1.950}{25}[/tex]
[tex]\sf\bar{x} =78[/tex]
[tex] \\ [/tex]
2. Median
[tex]\color{cyan}\boxed{\begin{array}{c|c|c}\color{magenta}\sf NILAI & \color{magenta}\sf FREKUENSI&\color{magenta}\sf f_k\\\hline\color{magenta}\tt 65-69& \color{magenta}\tt5&\color{magenta}\tt5\\\hline\color{magenta}\tt70-74& \color{magenta}\tt 4&\color{magenta}\tt 9 \\\hline\color {orange}\tt 75-79&\color{orange}\tt 6&\color{orange}\tt 15\\\hline\color{magenta}\tt 80-84&\color{magenta}\tt 3&\color{magenta}\tt 18\\\hline\color{magenta}\tt 85-89& \color{magenta}\tt5& \color{magenta}\tt23 \\\hline\color{magenta}\tt 90-94&\color{magenta}\tt 2&\color{magenta}\tt 25\end{array}}[/tex]
Letak median
= 25/2
= 12,5 (tulisan orange)
Tb = 75 - 0,5
Tb = 74,5
p = (69 - 65) + 1
p = 4 + 1
p = 5
.
[tex]\sf Me= Tb +(\frac{\frac{n}{2} - fk_{me}}{f_{me}}) \times p[/tex]
[tex]\sf Me= 74,5 +(\frac{12, 5 - 9}{6}) \times 5[/tex]
[tex]\sf Me= 74,5 +(\frac{12, 5 - 9}{6}) \times 5[/tex]
[tex]\sf \: Me= 74,5 +\frac{3,9}{6} \times 5[/tex]
[tex]\sf \: Me= 74,5 +\frac{19,5}{6} [/tex]
[tex]\sf \: Me= 74,5 +3,25[/tex]
[tex]\sf \: Me= 77,75[/tex]
[tex]\\[/tex]
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