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Pertemuan 4

Pertemuan 4. Kurve Normal. Distribusi Normal : kurva berbentuk bel , simetris , simetris terhadap sumbu yang melalui nilai rata-rata merupakan gambaran data yang ideal. Karakteristik Kurve Normal. Grafiknya terletak pada sumbu X Grafiknya simetris terhadap x = µ

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Pertemuan 4

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  1. Pertemuan 4 Kurve Normal

  2. Distribusi Normal : kurvaberbentukbel, simetris, simetristerhadapsumbu yang melaluinilai rata-ratamerupakangambaran data yang ideal

  3. KarakteristikKurve Normal • Grafiknyaterletakpadasumbu X • Grafiknyasimetristerhadap x = µ • Luasdaerahgrafiknyasamadengan 1 • Nilaiuntuksumbu X adalahdari -∞ sd. ∞ • µ = 0 Σ= 1

  4. COMPONENTS OF DISTRIBUTION MEASURES • SYMMETRY SKEWNESS COEFFICIENT (SC) • PEAKEDNESS  KURTOSIS COEFFICIENT (KC)

  5. SYMETRY MEASUREMENT • 1ST FORMULA FROM PEARSON SC = (µ - Mo) / σ • 2ND FORMULA FROM PEARSON SC = (3(µ - Mo) / σ

  6. SYMETRY MEASUREMENT (Cont.) • QUARTILE FORMULA SC = (K3 - 2K2 + K1) / (K3 - K1) • PERCENTILE FORMULA SC = (P90 – 2P50 + P10) / (P90 – P10)

  7. SYMETRY MEASUREMENT (Cont.) • Skewnessbernilai 0 berarti data berdistribusiSimetrik • Skewnessbernilai < 0 data berdistribusinegatif (miring kekanan) • Skewnessbernilai > 0 berarti data berdistribusipositif (miring kekiri)

  8. KURTOSIS MEASUREMENT 0,5 (K3 – K1) KC = ------------------ P90 – P10

  9. KURTOSIS MEASUREMENT (Cont.) • Kurtosis yang nilainya = 0,263 berarti data berdistribusiMesokurtik • Kurtosis yang nilainya < 0,263 berarti data berdistribusiPlatikurtik • Kurtosis yang nilainya > 0,263 berarti data berdistribusiLeptokurtik

  10. OTHERS CRITERIA DATA BERDISTRIBUSI NORMAL BILA • - 2 < (SC / SE of Skewness) < 2  SYMETRYC • - 2 < (KC / SE of Kurtosis) < 2  MESOCURTIC

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