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Assalamu’alaikum Wr . Wb .

Assalamu’alaikum Wr . Wb . Awallysa Kumala Sari. Ragam ( Varians ) dan Simpangan Baku. Ragam ( Varians ). Definisi : Ragam menyatakan rata-rata kuadrat jarak suatu data terhadap rataannya . Simpangan Baku. Definisi :

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Assalamu’alaikum Wr . Wb .

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  1. Assalamu’alaikumWr. Wb. AwallysaKumala Sari

  2. Ragam (Varians) dan Simpangan Baku

  3. Ragam (Varians) Definisi : Ragammenyatakan rata-rata kuadratjaraksuatu data terhadaprataannya. • Simpangan Baku Definisi : Simpanganbakumenunjukkanpenarikanakardari rata-rata kuadratjaraksuatu data terhadaprataannya.

  4. Ragam (varians) danSimpangan Baku untuk Data Tunggal • Ragam (Varians) Misalnya data x1, x2, x3, …, xnmempunyairataan , ragamatauvariansdapatditentukandenganrumus: Dengan : S2 = ragamatauvarians n = banyaknya data xi = data ke-i =rataanhitung

  5. Simpangan Baku atau Contoh : Hitunglahragamdansimpanganbakudari data : 1, 3, 4, 5, 8, 10, 12, 13.

  6. Jawab: Data : 1, 3, 4, 5, 8, 10, 12, 13 n = 8 (1-7)2 + (3-7)2 + (4-7)2 + (5-7)2 + (8-7)2 + (10-7)2 + (12-7)2 + (13-7) • = 36 + 16 + 9 + 4 + 1 +9 + 25 + 36 =136

  7. Jadi, nilairagamnya , sedangkansimpanganbakunyaS=4,12

  8. b. Ragam (Varians) danSimpangan Baku untuk Data Berkelompok • Ragam (Varians) Untukragam data berkelompok, nilairagamdapatditentukandenganrumus : Dengan : S2 = ragamatauvarians n = banyaknya data k = banyaknyakelaske-i fi = frekuensikelaske-i xi= data ke-i =rataanhitung

  9. Simpangan Baku atau Contoh : Tentukanragamdansimpanganbakudari data berikut :

  10. Jawab: Jadi, nilairagamnya 136,94 dannilaisimpanganbakunya 11,70

  11. SOAL • Tentukanragamdansimpanganbakuuntuk data berikut : 10, 44, 56, 62, 65, 72, 76 • 2. Padatabelberatbadananakberikuttentukanragam (varians) dansimpanganbakunya

  12. Jawab : • Data: 10 44 56 62 65 72 76 • , n = 7 (10-55)2 + (44-55)2+ (56-55)2 + (62-55)2 + (65-55)2 + (72-55)2 + (76-55)2 = 2.025 + 121 + 1 + 49 + 100 + 289 + 441 =3.026

  13. 2. Tabeldistribusifrekuensi: Jadi, nilairagamnya 42,33 dansimpanganbakunya 6,5

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