Burton Gray
08/04/2024 · Junior High School
Rata-rata Harmonis dari data: 2,3,4,6 adalah.... A. 4,2 B. 4,0 C. 3,2 D. 2,3 E. 5,0
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Untuk mencari rata-rata harmonis dari data 2, 3, 4, 6, kita dapat menggunakan rumus berikut:
\[ \text{Rata-rata Harmonis} = \frac{n}{\frac{1}{x_1} + \frac{1}{x_2} + \frac{1}{x_3} + \cdots + \frac{1}{x_n}} \]
Di mana \( n \) adalah jumlah data dan \( x_i \) adalah nilai data ke-\( i \).
Dalam kasus ini, kita memiliki data 2, 3, 4, 6. Jumlah data adalah 4, sehingga \( n = 4 \).
\[ \text{Rata-rata Harmonis} = \frac{4}{\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{6}} \]
Sekarang, kita dapat menghitung nilai rata-rata harmonis.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{4}{\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\right)}\)
- step1: Remove the parentheses:
\(\frac{4}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}}\)
- step2: Add the numbers:
\(\frac{4}{\frac{5}{4}}\)
- step3: Multiply by the reciprocal:
\(4\times \frac{4}{5}\)
- step4: Multiply:
\(\frac{4\times 4}{5}\)
- step5: Multiply:
\(\frac{16}{5}\)
Nilai rata-rata harmonis dari data 2, 3, 4, 6 adalah 3,2. Jadi, jawaban yang benar adalah C. 3,2.
Quick Answer
Rata-rata Harmonis dari data 2, 3, 4, 6 adalah 3,2. Jadi, jawaban yang benar adalah C.
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