jika rata-rata dari data 5 6 7 4 5 3 x 7 6 9 adalah 6 maka nilai mediannya adalah?

6 = (5 + 6 + 7 + 4 + 5 + 3 + x + 7 + 6 + 9) / 10

6 × 10 = 52 + x

60 = 52 + x

x = 60 - 52 = 8

urutan data : 3 , 4, 5 , 5 , 6,6, 7,7, 8 , 9

jumlah data = 10

median = (nilai ke 5 + ke 6) ÷ 2

= (6 + 6) ÷ 2

= 6 (C)

Nilai x :
6 = 5 + 6 + 7 + 4 + 5 + 3 + x + 7 + 6 + 9/10
6 = 52 + x/10
6 × 10 = 52 + x
60 = 52 + x
x = 60 - 52
x = 8

Nilai Median :
3, 4, 5, 5, 6, 6, 7, 7, 8, 9

Me = x(n/2) + x(n/2 + 1)/2
Me = x(10/2) + x(10/2 + 1)/2
Me = x(5) + x(6)/2
Me = 6 + 6/2
Me = 12/2
Me = 6

Jawaban : C. 6

Maaf Kalau Salah