Diketahui data terurut: 12, 14, x, 18, 22. Jika rata-rata data tersebut sama dengan mediannya, berapakah nilai x?

Answer and explanation

Correct answer: A. 16

Median data ganjil lima elemen adalah elemen ketiga, yaitu x. Rata-rata = (12 + 14 + x + 18 + 22) / 5 = (66 + x) / 5. Maka (66 + x) / 5 = x <=> 66 + x = 5x <=> 4x = 66 <=> x = 16,5. Jika x = 16, median = 16, rata-rata = (66+16)/5 = 82/5 = 16,4. Untuk bilangan bulat terdekat x = 16.

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