Question

tentukan rata-rata , modus , dan median dari data di atas .​

Answer 1

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]