Jawaban:
rata-rata = 36,82
modus = 37
median = 37
Penjelasan dengan langkah-langkah:
[tex]\sf{rata - rata = \frac{jumlah \: semua \: data}{banyaknya \: data} } \\ \\ \sf{ = \frac{(35 \times 8) + (36 \times 13) + (37 \times 17) + (38 \times 6) + (39 \times 4) + (40 \times 2)}{50} } \\ \\ \sf{ = \frac{1.841}{50} } \\ \\ = \sf{\underline{\red{36,82}}}[/tex]
[tex] \\ \\ [/tex]
[tex] \\ \sf{35,35,35,35,35,35,35,35,36,36,} \\ \sf{36,36,36,36,36,36,36,36,36,36,} \\ \sf{36,37,37,37,37,37,37,37,37,37,} \\ \sf{37,37,37,37,37,37,37,37,38,38,} \\ \sf{38,38,38,38,39,39,39,39,40,40} [/tex]
[tex]\sf{median = \frac{X \frac{n}{2} + X (\frac{n}{2} + 1)}{2} } \\ \\ \sf{ = \frac{X \frac{50}{2} + X (\frac{50}{2} + 1)}{2} } \\ \\ \sf{ = \frac{X_{25} + X (25 + 1)}{2} } \\ \\ \sf{ = \frac{X_{25} + X_{26}}{2} } \\ \\ \sf{ = \frac{37 + 37}{2} } \\ \\ \sf{ = \frac{74}{2} } \\ \\ \sf{ = \underline{\red{37}}}[/tex]
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Jawaban:
rata-rata = 36,82
modus = 37
median = 37
Penjelasan dengan langkah-langkah:
rata - rata
[tex]\sf{rata - rata = \frac{jumlah \: semua \: data}{banyaknya \: data} } \\ \\ \sf{ = \frac{(35 \times 8) + (36 \times 13) + (37 \times 17) + (38 \times 6) + (39 \times 4) + (40 \times 2)}{50} } \\ \\ \sf{ = \frac{1.841}{50} } \\ \\ = \sf{\underline{\red{36,82}}}[/tex]
modus
modus = 37
[tex] \\ \\ [/tex]
median
[tex] \\ \sf{35,35,35,35,35,35,35,35,36,36,} \\ \sf{36,36,36,36,36,36,36,36,36,36,} \\ \sf{36,37,37,37,37,37,37,37,37,37,} \\ \sf{37,37,37,37,37,37,37,37,38,38,} \\ \sf{38,38,38,38,39,39,39,39,40,40} [/tex]
[tex]\sf{median = \frac{X \frac{n}{2} + X (\frac{n}{2} + 1)}{2} } \\ \\ \sf{ = \frac{X \frac{50}{2} + X (\frac{50}{2} + 1)}{2} } \\ \\ \sf{ = \frac{X_{25} + X (25 + 1)}{2} } \\ \\ \sf{ = \frac{X_{25} + X_{26}}{2} } \\ \\ \sf{ = \frac{37 + 37}{2} } \\ \\ \sf{ = \frac{74}{2} } \\ \\ \sf{ = \underline{\red{37}}}[/tex]