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TUGAS STATISTIKA LANJUT Turahyo 14/370746/ptk/9680 A. Berikut ini adalah data berat cone(gulungan benang) dari hasil doffing dari mesin winder murata no 1 100 spindle pada pabrik tektil spinning (dalam gram). 2454 2705 2714 2740 2740 2562 2702 2571 2780 2785 2756 2614 2843 2960 3011 3012 3108 3240 3117 3026 3240 2880 2470 2757 2845 2250 2322 2759 2710 2550 2903 3055 2740 2716 2721 2603 2387 3103 3055 2781 2843 2786 3115 3102 2786 2758 2996 3020 2843 2905 3131 3013 2786 3202 3070 2402 2403 2842 2781 2840 2910 3060 2781 2582 3131 3200 3025 2985 3100 3212 3081 3130 2842 3204 3212 2974 3117 2903 2255 2735 2630 2843 2880 3014 2595 2746 2730 2404 3020 2786 2717 2745 3107 3102 3109 3050 3108 3010 3102 2845 2781 2903 3052 2390 2756 2735 2620 3011 2627 3055 1) Setelah disusun menjadi jajaran data dengan urutan menaik (ascending) 2250 2550 2702 2740 2780 2840 2880 3010 3050 3102 3130 2255 2562 2705 2740 2781 2842 2903 3011 3052 3102 3131 2322 2571 2710 2740 2781 2842 2903 3011 3055 3103 3131 2387 2582 2714 2745 2781 2843 2903 3012 3055 3107 3200 2390 2595 2716 2746 2781 2843 2905 3013 3055 3108 3202 2402 2603 2717 2756 2785 2843 2910 3014 3060 3108 3204 2403 2614 2721 2756 2786 2843 2960 3020 3070 3109 3212 2404 2620 2730 2757 2786 2845 2974 3020 3081 3115 3212 2454 2627 2735 2758 2786 2845 2985 3025 3100 3117 3240 2470 2630 2735 2759 2786 2880 2996 3026 3102 3117 3240 Berat Cone Jumlah (f) Prosentas e (f/n x 100%) 2200 – 2299 2 1,818 2300 – 2399 3 2,727 2400 – 2499 5 4,345 2500 – 2599 5 4,345 2600 – 2699 5 4,345 2700 – 30 27,273

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TUGAS STATISTIKA LANJUTTurahyo 14/370746/ptk/9680

A. Berikut ini adalah data berat cone(gulungan benang) dari hasil doffing dari mesin winder murata no 1 100 spindle pada pabrik tektil spinning (dalam gram).

24542705271427402740256227022571278027852756261428432960301130123108324031173026324028802470275728452250232227592710255029033055274027162721260323873103305527812843278631153102278627582996302028432905313130132786320230702402240328422781284029103060278125823131320030252985310032123081313028423204321229743117290322552735263028432880301425952746273024043020278627172745310731023109305031083010310228452781290330522390275627352620301126273055

1) Setelah disusun menjadi jajaran data dengan urutan menaik (ascending)

225025502702274027802840288030103050310231302255256227052740278128422903301130523102313123222571271027402781284229033011305531033131238725822714274527812843290330123055310732002390259527162746278128432905301330553108320224022603271727562785284329103014306031083204

24032614272127562786284329603020307031093212

24042620273027572786284529743020308131153212

24542627273527582786284529853025310031173240

24702630273527592786288029963026310231173240

Berat ConeJumlah (f)Prosentase (f/n x 100%)

2200 229921,818

2300 239932,727

2400 249954,345

2500 259954,345

2600 269954,345

2700 27993027,273

2800 28991110,000

2900 299998,182

3000 30991816,365

3100 31991210,910

Total (N)110100%

2) Central Tendency

Mean (Average)SUM = (d1.f1)+ (d2.f2)+...... (dk.fk)

Berat ConeJumlah (f)Jumlah totalBerat ConeJumlah (f)Jumlah totalBerat ConeJumlah (f)Jumlah totalBerat ConeJumlah (f)Jumlah total

225012250256212562270512705274638238

225512255257112571271012710275712757

232212322258212582271412714275812758

238712387259512595271612716275912759

239012390260312603271712717278012780

2402124022614126142721127212781411124

240312403262012620273012730278512785

2404248082627126272735254702786411144

247012470263012630274038220284012840

255012550270212702274512745284225684

Berat ConeJumlah (f)Jumlah totalBerat ConeJumlah (f)Jumlah totalBerat ConeJumlah (f)Jumlah totalBerat ConeJumlah (f)Jumlah total

2843411372301013010305539165311513115

284525690301126022306013060311726234

288025760301213012307013070313013130

290338709301313013308113081313126262

290512905301413014310013100320013200

291012910302026040310239306320213202

296012960302513025310313103320413204

297412974302613026310713107321226424

298512985305013050310826216324026480

299612996305213052310913109Total313753

N cone = 110A = SUM/N

= 313753/110

= 2852,3MEDIAN

d= 110/2

d= 55 dan

d= (110/2)+1

= 55+1

= 56

d55 dan d56 = 2843 QUARTILE

Q1= (0,25)X 110 =27,5

Q1 = 28 d28 = 2730

Q3= (0,75)X 110 =82,5

Q3 =83 d28 = 3103

Five number summary = Min = 2250, Q1=2730, Q3= 3103, Max=32403) PENYEBARAN (SPREAD)RANGE

R= 3240-2250

= 990

INTERQUARTILE RANGE

IQR = Q3-Q1

= 3103-2730

= 373

STANDAR DEVIASI

X = 2843Berat Cone (f)Xmi(xmi- x)

2200 229922252,5347510,25

2300 239932366,3501264

2400 249952426,6173388,96

2500 25995257273441

2600 269952618,850265,64

2700 2799302750,58556,25

2800 2899112849,643,9569

3000 3099183035,637075,5025

3100 3199223145,191258,3681

1101282803,928

Sx = 1282803,928 = 113,83

110 1

OUTLIER = 1,5 IQR

= 1,5 . 373

= 559,5 (tidak ada outliernya)

4) GrafikHISTOGRAM

POLYGONE

5) Perbandingan faktor kemencengan dan keruncingan distribusi