A. DATA MENTAHA. Tabel Data BerkomaNo0.010.020.030.040.050.060.070.080.090.100.01110.020.040.060.100.150.160.180.200.110.160.02220.030.060.090.130.180.190.210.230.130.180.03230.040.080.120.160.210.220.240.260.150.200.04340.050.100.150.190.240.250.270.290.170.220.05250.060.120.180.220.270.280.300.320.190.240.06460.070.140.210.250.300.310.330.350.210.260.07270.080.160.240.280.330.340.360.380.230.280.08380.090.180.270.310.360.370.390.410.250.300.09390.100.200.300.340.390.400.420.440.270.320.104100.110.220.330.370.420.430.450.470.290.340.112110.120.240.360.400.450.460.480.500.310.360.12312Dari tabel didapat :0.13213Jumlah data=1200.14114Nilai data terbesar=0.500.1531525Nilai data terkecil=0.010.164160.2550.171170.185180.193190.203200.214210.224220.232230.245240.253250.262260.274270.283280.292290.304300.313310.322320.333330.343340.351350.364360.372370.381380.392390.402400.411410.422420.431430.441440.452450.461460.471470.481480.490490.50150119

2. TABEL DISTRIBUSI

2. Membuat Tabel Distribusi dati Data Diatas

Rumus :Range (R) = Data Terbesar- Data Terkecil(Log 120 = 2,0792)Banyak Kelas (K) = 1 + (3,3 x log N)Range (R) =0.49Lebar Kelas (L) = R/KBanyak Kelas (K) =8Titik Tengan (TT) = Batas Atas + Basat Bawah /2Lebar Kelas (L) =0.06

Maka dari Rumus di atas, dapat di buat Tabel Distribusi Frekuensi Sebagai Berikut :

NoKelas IntervalNilai Tengah (Ti)Frekuensi (Fi)BB - BA10,01-0,050.031020,06-0,100.081630,11-0,150.131140,16-0,200.181650,21-0,250.231860,26-0300.281570,31-0,350.331280,36-0,400.381190,41-0,450.437100,46-0,500.484Jumlah120Keterangan Dari Grafik :1. Berwarna Pink Menunjukkan Polygon2. Berwarna Kuning Menunjukkan Histogram

GRAFIK HISTOGRAM DAN POLIGIN3. Grafik Histogram dan Polygon

Kelas IntervalFrekuensi (Fi)Garifik Histogram dan PolygonBB - BA0,01-0,05100,06-0,10160,11-0,14110,16-0,20160,21-0,25180,26-030150,31-0,35120,36-0,40110,41-0,4570,46-0,504120

4. Tabel FK kurang Dari4. Tabel Frekuensi Kumulatif Kurang Dari

NoNilai (Kurang Dari)Frekuensi (Fi)Frekuensi Kumulatif Kurang Dari

10.0110020.06161030.11112640.16163750.21185360.26157170.31128680.36119890.417110100.464116110.510120JUMLAH120

5. tabel FK Lebih Dari5. Tabel Frekuensi Kumulatif Lebih Dari

NoNilai (Kurang Dari)Frekuensi (Fi)Frekuensi Kumulatif Lebih Dari

10.011012020.061611030.11119440.16168350.21186760.26154970.31123480.36112290.41711100.4644110.5100JUMLAH120

6. FREKUENSI KUMULATIF RELATIF6. FREKUENSI KUMULATIF RELATIF

NoNilai (BB)Frekuensi (Fi)Frekuensi Kumulatif (kurang dari)Frekuensi Kumulatif Relatif kurang dari (%)Frekuensi Kumulatif (lebih dari)Frekuensi Kumulatif Relatif Lebih Dari(%)

10.011000.0%120100.0%20.0616108.3%11091.7%30.11112621.7%9478.3%40.16163730.8%8369.2%50.21185344.2%6755.8%60.26157159.2%4940.8%70.31128671.7%3428.3%80.36119881.7%1815.0%90.41710990.8%108.3%100.464120100.0%00.0%JUMLAH120

7. Rata-rata (Mean)7. Rata-rata (Mean)Rataan (Mean) = (jumlah (Fi.xi)) / jumlah Fi

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)xi.FiRata-rata ( )BBBARumus Rata-rata Untuk Data Berkelompok :10.010.050.03100.30.2320.060.100.08161.2830.110.150.13111.4340.160.200.18162.8850.210.250.23184.1460.260.300.28154.270.310.350.33123.9680.360.400.38114.1890.410.450.4373.01100.460.50.4841.92Jumlah2.5512027.3

Rata-rata =0.2275

8. Modus8. Modus

NoKelas IntervalNilai Tengah (xi)Frekuensi (Mutlak)Modus (Nilai Terbanyhak)Bertanda biru adalah posisi letak modus (Data Frekuensi Terbanyak)BBBA10.010.050.03100.28Rumus Modus Untuk Data Berkelompok :20.060.100.081630.110.150.131140.160.200.181650.210.250.231860.260.300.281570.310.350.3312kelas modus terdapat pada kelas ke 780.360.400.3811 0.2690.410.450.4372100.460.500.4843Jumlah1200.05

Modus =0.28

9. Median9. Median

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)MEDIANRumus Median Untuk Data BerkelompokBBBA10.010.050.03100.27420.060.100.081630.110.150.131140.160.200.181650.210.250.2318BB kelas Median =0.2660.260.300.2815C =Lebar Interval =0.0570.310.350.3312fi =Jumlah frekuensi median =1880.360.400.3811Jumlah FK sebelum Kelas Median =5390.410.450.437100.460.500.484Jumlah1.64120

Me =0.274

10. Quartil10. Quartil

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)Rumus Median Untuk Data BerkelompokBBBA10.010.050.031020.060.100.081630.110.150.131140.160.200.181650.210.250.2318BB kelas Median =0.2160.260.300.2815C =Lebar Interval =0.0570.310.350.3312fi =Jumlah frekuensi median =1880.360.400.3811Jumlah FK sebelum Kelas Median =5390.410.450.437100.460.500.484Jumlah2.55120

Quartil ( Q )

Q10.141Q20.224Q30.308

11. Desil11. Desil

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)Rumus Median Untuk Data BerkelompokBBBA10.010.050.031020.060.100.081630.110.150.131140.160.200.181650.210.250.231860.260.300.2815BB kelas Median =0.2170.310.350.3312C =Lebar Interval =0.0580.360.400.3811fi =Jumlah frekuensi median =1890.410.450.437Jumlah FK sebelum Kelas Median =53100.460.500.484Jumlah1.64120

DesilD1D2D3D4D5D6D7D8D90.09111111110.12444444440.15777777780.19111111110.22444444440.25777777780.29111111110.32444444440.3577777778

12. Persentil12. Persentil

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)Ket : Persentil sama dengan Quartil, Ataupun Desil. Hanya saja Pembaginya adalah 100, Dan Data Yang dihasilkan sampai 99 DataBBBA10.010.050.031020.060.100.081630.110.150.1311Rumus Median Untuk Data Berkelompok40.160.200.181650.210.250.231860.260.300.281570.310.350.331280.360.400.381190.410.450.437100.460.500.484BB kelas Median =0.21Jumlah1.64120C =Lebar Interval =0.05fi =Jumlah frekuensi median =18Jumlah FK sebelum Kelas Median =53

DesilD1D2D3D4D5D6D7D8Pn0.060.060.070.070.070.080.080.08...

13. Rata-rata Harmonik13. Rata-rata Harmonik

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)Fi / xiRata_rata harmonisBBBARumus Untuk Data Berkelompok :10.010.050.0310333.330.12922820.060.100.0816200.0030.110.150.131184.6240.160.200.181688.8950.210.250.231878.2660.260.300.281553.5770.310.350.331236.3680.360.400.381128.9590.410.450.43716.28100.460.500.4848.33Jumlah1.64120928.59

RH =0.12923

14. Rata-rata Geometrik14. Rata-rata Geometrik

NoKelas IntervalNilai Tengah Kelas (xi)Log TiFi * Log TiFrekuensi (Fi)Rata-rata Geometrik (U)Rata-rata Geometrik (Rata-rata Ukur)BBBA10.010.050.03-1.5229-0.05100.981. Untuk Data Tunggal 20.060.100.08-1.0969-0.091630.110.150.13-0.8861-0.121140.160.200.18-0.7447-0.131650.210.250.23-0.6383-0.15182. Untuk Data Tabel Distribusi Frekuensi60.260.300.28-0.5528-0.151570.310.350.33-0.4815-0.161280.360.400.38-0.4202-0.161190.410.450.43-0.3665-0.167100.460.500.48-0.3188-0.154Keterangan Dari Rumus:Jumlah2.55-7.03-1.31120U = Rata-rata Geometrik (Ukur)n = Banyaknya DataX1, X2 ,.... = Data Ke1, ke2, dan seterusnya...Ti = Nilai TengahRata-rata Geometri =0.98Fi = Frekuensi

15. SIMPANGAN BAKU15. Simpangan Baku

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)Fi * xi(xi- )^2Fi * ((xi - ) ^2)Simpangan BakuRumus Simpangan Baku :BBBA1. Simpangan Baku Data Kelompok10.010.050.03100.30.039006250.3900.11357897620.060.100.08161.280.021756250.34830.110.150.13111.430.009506250.10540.160.200.18162.880.002256250.03650.210.250.23184.140.000006250.000Keterangan Dari Rumus :60.260.300.28154.20.002756250.041 =Simpangan Baku70.310.350.33123.960.010506250.12680.360.400.38114.180.023256250.25690.410.450.4373.010.041006250.123100.460.500.4841.920.063756250.122Jumlah1.64120.0027.301.5480

Rata-rata =0.2275Simpangan Baku =0.1135789763

16. SIMPANGAN RATA-RATA16. Simpangan Rata-Rata

NoKelas IntervalNilai Tengah Kelas (Ti)Fi|xi - |Frekuensi (Fi)Simpangan Rata-rata (SR)Rumus Simpangan Rata-rata :BBBA10.010.050.031.9733100.1028111111. Rumus Data Distribusi Frekuensi =20.060.100.082.35731630.110.150.131.07071140.160.200.180.75731650.210.250.230.04801860.260.300.280.790015Keterangan Rumus :70.310.350.331.232012 SR = Simpangan Rata-rata80.360.400.381.679311 = Rata-rata (Mean)90.410.450.431.41877Rata-rata ( ) = 0.2273100.460.500.481.01074Jumlah2.5512.3373120

SR =0.1028111111

17. VARIANSI17. VARIANSI

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)xi*Fi(xi-Rata2)^2Fi*((xi-Rata2)^2)BBBARumus Variansi Data Berkelompok10.010.050.03100.30.03900630.390062520.060.100.08161.280.02175630.348130.110.150.13111.430.00950630.1045687540.160.200.18162.880.00225630.036150.210.250.23184.140.00000620.000112560.260.300.28154.200.00275630.0413437570.310.350.33123.960.01050630.12607580.360.400.38114.180.02325630.2558187590.410.450.4373.010.04100630.0117705878100.460.500.4841.920.06375630.0162594377Jumlah2.5512027.31.3302112754

Rata-rata =0.23Variansi =0.01109

18. KEMIRINGAN18. KEMIRINGAN (KEMENCENGAN)

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)xi*Fixi-Rata2Fi*((xi-Rata2)^2)Fi*((xi-Rata2)^3)BBBARumus Untuk Data Berkelompok10.010.050.03100.3-0.19750000.3900625-0.077037343820.060.100.08161.28-0.14750000.3481000-0.0513447530.110.150.13111.43-0.09750000.1045688-0.010195453140.160.200.18162.88-0.04750000.0361000-0.0017147550.210.250.23184.140.00250000.00011250.000000281260.260.300.28154.20.05250000.04134380.002170546970.310.350.33123.960.10250000.12607500.012922687580.360.400.38114.180.15250000.25581880.039012359490.410.450.4373.010.20250000.28704380.0581263594100.460.500.4841.920.25250000.25502500.0663450094Jumlah2.5512027.31.844250.0382849469

Rata-rata =0.23Variansi =0.02Keruncingan (kemencengan) =0.0207590874

19. KERUNCINGAN19. KERUNCINGAN

NoKelas IntervalNilai Tengah Kelas (xi)Frekuensi (Fi)xi*Fixi-Rata2Fi*((xi-Rata2)^2)Fi*((xi-Rata2)^3)Fi*((xi-Rata2)^4)Rumus Untuk Data BerkelompokBBBA10.010.050.03100.3-0.19750000.3900625-0.07703734380.01521487520.060.100.08161.28-0.14750000.3481000-0.051344750.007573350630.110.150.13111.43-0.09750000.1045688-0.01019545310.000994056740.160.200.18162.88-0.04750000.0361000-0.001714750.000081450650.210.250.23184.140.00250000.00011250.00000028120.000000000760.260.300.28154.20.05250000.04134380.00217054690.000113953770.310.350.33123.960.10250000.12607500.01292268750.001324575580.360.400.38114.180.15250000.25581880.03901235940.005949384890.410.450.4373.010.20250000.28704380.05812635940.0117705878100.460.500.4841.920.25250000.25502500.06634500940.0162594377Jumlah2.5512027.31.844250.03828494690.059281673

Rata-rata =0.23Variansi =0.02keruncingan =0.03214406

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