misal:
l = banyaknya laki-laki
p = banyaknya perempuan
s = banyaknya seluruh siswa
x̅ₗ = 40 kg
x̅ₚ = 31 kg
p+l = 36 ... (1)
x̅ₛ = 35 kg
Ditanyakan: banyaknya siswa p & l
Penyelesaian:
Ingat: Rumus rata-rata
x̅ = Σx/n
Σx = Jumlah seluruh data
n = banyaknya data
Σxₗ/l = x̅ₗ
Σxₗ/l = 40
Σxₗ = 40l ... (2)
Σxₚ/p = x̅ₚ
Σxₚ/p = 31
Σxₚ = 31p ... (3)
̅
Σxₛ/(p+l) = x̅ₛ
(Σxₚ+Σxₗ)/36 = 35 [masukkan (2) dan (3)]
31p+40l = 35×36
31p+40l = 1260 ... (4)
Eliminasi
(1) p+l = 36 [×40]
(4) 31p+40l = 1260 [×1]
40p+40l = 1440
31p+40l = 1260
_________________ -
9p = 180
p = 180/9
p = 20
masukkan p=20 ke (1)
20+l = 36
l = 36-20 = 16
Jadi, banyaknya
murid laki-laki = 16
murid perempuan = 20
Jawaban: D
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misal:
l = banyaknya laki-laki
p = banyaknya perempuan
s = banyaknya seluruh siswa
x̅ₗ = 40 kg
x̅ₚ = 31 kg
p+l = 36 ... (1)
x̅ₛ = 35 kg
Ditanyakan: banyaknya siswa p & l
Penyelesaian:
Ingat: Rumus rata-rata
x̅ = Σx/n
Σx = Jumlah seluruh data
n = banyaknya data
Σxₗ/l = x̅ₗ
Σxₗ/l = 40
Σxₗ = 40l ... (2)
Σxₚ/p = x̅ₚ
Σxₚ/p = 31
Σxₚ = 31p ... (3)
̅
Σxₛ/(p+l) = x̅ₛ
(Σxₚ+Σxₗ)/36 = 35 [masukkan (2) dan (3)]
31p+40l = 35×36
31p+40l = 1260 ... (4)
Eliminasi
(1) p+l = 36 [×40]
(4) 31p+40l = 1260 [×1]
40p+40l = 1440
31p+40l = 1260
_________________ -
9p = 180
p = 180/9
p = 20
masukkan p=20 ke (1)
20+l = 36
l = 36-20 = 16
Jadi, banyaknya
murid laki-laki = 16
murid perempuan = 20
Jawaban: D