Hitung simpangan setiap data dari mean:
- 150 cm - 160 cm = -10 cm
- 152 cm - 160 cm = -8 cm
- 155 cm - 160 cm = -5 cm
- 158 cm - 160 cm = -2 cm
- 160 cm - 160 cm = 0 cm
- 162 cm - 160 cm = 2 cm
- 165 cm - 160 cm = 5 cm
- 168 cm - 160 cm = 8 cm
- 170 cm - 160 cm = 10 cm
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Hitung total simpangan: Total simpangan = |-10| + |-8| + |-5| + |-2| + |0| + |2| + |5| + |8| + |10| = 50 cm
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Hitung simpangan rata-rata: Simpangan rata-rata = Total simpangan / Jumlah data = 50 cm / 9 = 5,56 cm
3. Varian
Soal: Data berat badan siswa kelas 7C adalah sebagai berikut: 40 kg, 42 kg, 45 kg, 48 kg, 50 kg, 52 kg, 55 kg, 58 kg, 60 kg. Hitunglah varian data tersebut!
Kunci Jawaban:
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Hitung mean (rata-rata) data: Mean = (40 + 42 + 45 + 48 + 50 + 52 + 55 + 58 + 60) / 9 = 50 kg
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Hitung kuadrat simpangan setiap data dari mean:
- (40 kg - 50 kg)^2 = 100
- (42 kg - 50 kg)^2 = 64
- (45 kg - 50 kg)^2 = 25
- (48 kg - 50 kg)^2 = 4
- (50 kg - 50 kg)^2 = 0
- (52 kg - 50 kg)^2 = 4
- (55 kg - 50 kg)^2 = 25
- (58 kg - 50 kg)^2 = 64
- (60 kg - 50 kg)^2 = 100
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Hitung total kuadrat simpangan: Total kuadrat simpangan = 100 + 64 + 25 + 4 + 0 + 4 + 25 + 64 + 100 = 386***