perhitungan statistik

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X Y Kadar X Min- Max S 439550 9877950 66,14 34,27 47,77 3 18,367 18,367 337,346 69 6,60322 04 2,78152 16 21,5202 5 59,8590 4 439600 9877950 48,67 35,48 47,77 3 0,897 0,897 0,80460 9 6,60322 04 0,13584 28 0,00250 67 0,00034 05 439650 9877950 38,32 35,90 47,77 3 -9,453 9,453 89,3592 09 6,60322 04 1,43157 42 2,93387 5 4,20005 98 439700 9877950 37,67 36,39 47,77 3 - 10,103 10,103 102,070 61 6,60322 04 1,53001 1 3,58165 45 5,47997 09 439750 9877950 39,49 37,36 47,77 3 -8,283 8,283 68,6080 89 6,60322 04 1,25438 79 1,97376 58 2,47586 8 439800 9877950 41,12 37,36 47,77 3 -6,653 6,653 44,2624 09 6,60322 04 1,00753 87 1,02278 7 1,03049 75 439850 9877950 50,72 37,67 47,77 3 2,947 2,947 8,68480 9 6,60322 04 0,44629 74 0,08889 41 0,03967 32 439550 9877900 35,48 37,99 47,77 3 - 12,293 12,293 151,117 85 6,60322 04 1,86166 74 6,45217 7 12,0118 08 439600 9877900 43,61 38,32 47,77 3 -4,163 4,163 17,3305 69 6,60322 04 0,63045 0,25058 31 0,15798 01 439650 9877900 57,40 38,64 47,77 3 9,627 9,627 92,6791 29 6,60322 04 1,45792 5 3,09888 56 4,51794 28 439700 9877900 41,43 38,92 47,77 3 -6,343 6,343 40,2336 49 6,60322 04 0,96059 19 0,88637 35 0,85144 32 439750 9877900 56,73 39,49 47,77 3 8,957 8,957 80,2278 49 6,60322 04 1,35645 94 2,49586 08 3,38553 37 439800 9877900 44,83 39,63 47,77 3 -2,943 2,943 8,66124 9 6,60322 04 0,44569 16 0,08853 26 0,03945 83 439850 9877900 49,71 39,76 47,77 3 1,937 1,937 3,75196 9 6,60322 04 0,29334 17 0,02524 19 0,00740 45 439500 9877850 47,94 40,20 47,77 3 0,167 0,167 0,02788 9 6,60322 04 0,02529 07 1,618E- 05 4,091E- 07

description

statistik hitung

Transcript of perhitungan statistik

Page 1: perhitungan statistik

X Y KadarX Min-

Max S

439550 9877950 66,14 34,2747,773 18,367 18,367 337,34669

6,6032204 2,7815216 21,52025 59,85904

439600 9877950 48,67 35,4847,773 0,897 0,897 0,804609

6,6032204 0,1358428

0,0025067 0,0003405

439650 9877950 38,32 35,9047,773 -9,453 9,453 89,359209

6,6032204 1,4315742 2,933875 4,2000598

439700 9877950 37,67 36,3947,773 -10,103 10,103 102,07061

6,6032204 1,530011

3,5816545 5,4799709

439750 9877950 39,49 37,3647,773 -8,283 8,283 68,608089

6,6032204 1,2543879

1,9737658 2,475868

439800 9877950 41,12 37,3647,773 -6,653 6,653 44,262409

6,6032204 1,0075387 1,022787 1,0304975

439850 9877950 50,72 37,6747,773 2,947 2,947 8,684809

6,6032204 0,4462974

0,0888941 0,0396732

439550 9877900 35,48 37,9947,773 -12,293 12,293 151,11785

6,6032204 1,8616674 6,452177 12,011808

439600 9877900 43,61 38,3247,773 -4,163 4,163 17,330569

6,6032204 0,63045

0,2505831 0,1579801

439650 9877900 57,40 38,6447,773 9,627 9,627 92,679129

6,6032204 1,457925

3,0988856 4,5179428

439700 9877900 41,43 38,9247,773 -6,343 6,343 40,233649

6,6032204 0,9605919

0,8863735 0,8514432

439750 9877900 56,73 39,4947,773 8,957 8,957 80,227849

6,6032204 1,3564594

2,4958608 3,3855337

439800 9877900 44,83 39,6347,773 -2,943 2,943 8,661249

6,6032204 0,4456916

0,0885326 0,0394583

439850 9877900 49,71 39,7647,773 1,937 1,937 3,751969

6,6032204 0,2933417

0,0252419 0,0074045

439500 9877850 47,94 40,2047,773 0,167 0,167 0,027889

6,6032204 0,0252907 1,618E-05 4,091E-07

439550 9877850 42,92 40,3547,773 -4,853 4,853 23,551609

6,6032204 0,7349444

0,3969753 0,2917548

439600 9877850 48,87 40,4347,773 1,097 1,097 1,203409

6,6032204 0,1661311

0,0045851 0,0007617

439650 9877850 45,28 41,06 47,773 -2,493 2,493 6,215049 6,603220 0,3775431 0,053814 0,0203173

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439700 9877850 49,16 41,1247,773 1,387 1,387 1,923769

6,6032204 0,210049

0,0092675 0,0019466

439750 9877850 44,14 41,4347,773 -3,633 3,633 13,198689

6,6032204 0,5501861

0,1665439 0,0916302

439800 9877850 47,94 41,6947,773 0,167 0,167 0,027889

6,6032204 0,0252907 1,618E-05 4,091E-07

439850 9877850 45,17 41,8547,773 -2,603 2,603 6,775609

6,6032204 0,3942016

0,0612569 0,0241476

439900 9877850 43,74 41,9347,773 -4,033 4,033 16,265089

6,6032204 0,6107626

0,2278334 0,1391521

439500 9877800 53,60 42,5347,773 5,827 5,827 33,953929

6,6032204 0,8824482

0,6871755 0,6063968

439550 9877800 48,82 42,9247,773 1,047 1,047 1,096209

6,6032204 0,158559

0,0039863 0,0006321

439600 9877800 54,29 43,4547,773 6,517 6,517 42,471289

6,6032204 0,9869427

0,9613373 0,9487848

439650 9877800 40,35 43,6147,773 -7,423 7,423 55,100929

6,6032204 1,1241485

1,4205974 1,5969624

439700 9877800 61,93 43,7447,773 14,157 14,157 200,42065

6,6032204 2,1439539

9,8547662 21,128164

439750 9877800 53,16 44,1447,773 5,387 5,387 29,019769

6,6032204 0,8158141

0,5429672 0,4429602

439800 9877800 41,93 44,2547,773 -5,843 5,843 34,140649

6,6032204 0,8848713

0,6928517 0,6130846

439850 9877800 55,78 44,2947,773 8,007 8,007 64,112049

6,6032204 1,2125902

1,7829621 2,1620023

439500 9877750 57,23 44,5247,773 9,457 9,457 89,434849

6,6032204 1,43218

2,9376009 4,2071732

439550 9877750 56,46 44,8347,773 8,687 8,687 75,463969

6,6032204 1,3155702

2,2768902 2,995409

439600 9877750 37,99 45,1747,773 -9,783 9,783 95,707089

6,6032204 1,4815498

3,2519869 4,8179807

439650 9877750 45,33 45,1747,773 -2,443 2,443 5,968249

6,6032204 0,369971

0,0506411 0,0187357

439700 9877750 46,49 45,2247,773 -1,283 1,283 1,646089

6,6032204 0,1942991

0,0073352 0,0014252

439750 9877750 40,43 45,28 47,773 -7,343 7,343 53,919649 6,603220 1,1120332 1,375159 1,5292235

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439800 9877750 47,67 45,3347,773 -0,103 0,103 0,010609

6,6032204 0,0155984 3,795E-06 5,92E-08

439500 9877700 35,90 46,0047,773 -11,873 11,873 140,96813

6,6032204 1,7980621

5,8131835 10,452465

439550 9877700 49,92 46,0647,773 2,147 2,147 4,609609

6,6032204 0,3251444

0,0343739 0,0111765

439600 9877700 64,19 46,4347,773 16,417 16,417 269,51789

6,6032204 2,4862111

15,367882 38,2078

439650 9877700 36,39 46,4947,773 -11,383 11,383 129,57269

6,6032204 1,7238558

5,1227462 8,8308759

439700 9877700 48,99 46,6447,773 1,217 1,217 1,481089

6,6032204 0,184304

0,0062604 0,0011538

439750 9877700 46,00 46,6947,773 -1,773 1,773 3,143529

6,6032204 0,2685054

0,0193579 0,0051977

439800 9877700 45,22 47,5247,773 -2,553 2,553 6,517809

6,6032204 0,3866295

0,0577943 0,022345

439500 9877650 51,83 47,6047,773 4,057 4,057 16,459249

6,6032204 0,6143972 0,231925 0,1424941

439550 9877650 51,28 47,6747,773 3,507 3,507 12,299049

6,6032204 0,5311045

0,1498097 0,0795646

439600 9877650 57,74 47,9447,773 9,967 9,967 99,341089

6,6032204 1,509415

3,4389511 5,1908045

439650 9877650 44,25 47,9447,773 -3,523 3,523 12,411529

6,6032204 0,5335276

0,1518695 0,0810266

439700 9877650 55,15 47,9447,773 7,377 7,377 54,420129

6,6032204 1,1171822

1,3943506 1,5577436

439750 9877650 57,63 48,4947,773 9,857 9,857 97,160449

6,6032204 1,4927565 3,326342 4,9654186

439800 9877650 50,26 48,5147,773 2,487 2,487 6,185169

6,6032204 0,3766344

0,0534269 0,0201224

439850 9877650 52,04 48,6047,773 4,267 4,267 18,207289

6,6032204 0,6461998

0,2698364 0,1743683

439500 9877600 46,69 48,6747,773 -1,083 1,083 1,172889

6,6032204 0,1640109

0,0044118 0,0007236

439550 9877600 41,06 48,8247,773 -6,713 6,713 45,064369

6,6032204 1,0166252

1,0507093 1,0681775

439600 9877600 44,52 48,83 47,773 -3,253 3,253 10,582009 6,603220 0,4926384 0,119559 0,0588997

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439650 9877600 37,36 48,8747,773 -10,413 10,413 108,43057

6,6032204 1,5769578

3,9215724 6,1841542

439700 9877600 61,69 48,8747,773 13,917 13,917 193,68289

6,6032204 2,107608

9,3620189 19,731466

439750 9877600 56,09 48,9547,773 8,317 8,317 69,172489

6,6032204 1,2595369

1,9981714 2,5167707

439800 9877600 46,64 48,9947,773 -1,133 1,133 1,283689

6,6032204 0,1715829

0,0050515 0,0008668

439850 9877600 48,95 49,1547,773 1,177 1,177 1,385329

6,6032204 0,1782464

0,0056632 0,0010094

439550 9877550 50,13 49,1647,773 2,357 2,357 5,555449

6,6032204 0,356947 0,045479 0,0162336

439600 9877550 47,52 49,6447,773 -0,253 0,253 0,064009

6,6032204 0,0383146 5,625E-05 2,155E-06

439650 9877550 41,85 49,7147,773 -5,923 5,923 35,081929

6,6032204 0,8969866

0,7217019 0,6473569

439700 9877550 52,48 49,8047,773 4,707 4,707 22,155849

6,6032204 0,712834 0,362214 0,2581985

439750 9877550 51,49 49,9247,773 3,717 3,717 13,816089

6,6032204 0,5629072

0,1783653 0,1004031

439800 9877550 50,89 50,1347,773 3,117 3,117 9,715689

6,6032204 0,4720424

0,1051824 0,0496505

439850 9877550 46,43 50,2647,773 -1,343 1,343 1,803649

6,6032204 0,2033856

0,0084132 0,0017111

439550 9877500 50,44 50,4447,773 2,667 2,667 7,112889

6,6032204 0,4038938

0,0658873 0,0266115

439600 9877500 55,63 50,7247,773 7,857 7,857 61,732449

6,6032204 1,189874

1,6846236 2,0044898

439650 9877500 51,34 50,8447,773 3,567 3,567 12,723489

6,6032204 0,540191

0,1576311 0,0851509

439700 9877500 48,87 50,8947,773 1,097 1,097 1,203409

6,6032204 0,1661311

0,0045851 0,0007617

439750 9877500 47,94 51,2847,773 0,167 0,167 0,027889

6,6032204 0,0252907 1,618E-05 4,091E-07

439800 9877500 45,17 51,3447,773 -2,603 2,603 6,775609

6,6032204 0,3942016

0,0612569 0,0241476

439850 9877500 48,51 51,49 47,773 0,737 0,737 0,543169 6,603220 0,1116122 0,001390 0,0001552

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439900 9877500 54,09 51,8347,773 6,317 6,317 39,904489

6,6032204 0,9566544

0,8755184 0,8375685

439600 9877450 38,92 52,0447,773 -8,853 8,853 78,375609

6,6032204 1,3407095

2,4099278 3,2310129

439650 9877450 43,45 52,1047,773 -4,323 4,323 18,688329

6,6032204 0,6546806

0,2806004 0,1837036

439700 9877450 37,36 52,4847,773 -10,413 10,413 108,43057

6,6032204 1,5769578

3,9215724 6,1841542

439750 9877450 56,93 53,0047,773 9,157 9,157 83,850649

6,6032204 1,3867476

2,6668112 3,6981941

439800 9877450 44,29 53,1647,773 -3,483 3,483 12,131289

6,6032204 0,5274699 0,146755 0,0774089

439850 9877450 48,83 53,6047,773 1,057 1,057 1,117249

6,6032204 0,1600734

0,0041016 0,0006566

439900 9877450 50,84 54,0947,773 3,067 3,067 9,406489

6,6032204 0,4644703

0,1002014 0,0465406

439650 9877400 48,49 54,2947,773 0,717 0,717 0,514089

6,6032204 0,1085834

0,0012802 0,000139

439700 9877400 49,15 55,0147,773 1,377 1,377 1,896129

6,6032204 0,2085346

0,0090685 0,0018911

439750 9877400 39,76 55,1547,773 -8,013 8,013 64,208169

6,6032204 1,2134988

1,7869733 2,1684899

439800 9877400 46,06 55,6347,773 -1,713 1,713 2,934369

6,6032204 0,2594189

0,0174584 0,004529

439850 9877400 39,63 55,7847,773 -8,143 8,143 66,308449

6,6032204 1,2331862

1,8753656 2,3126749

439900 9877400 34,27 56,0947,773 -13,503 13,503 182,33101

6,6032204 2,0449113

8,5511285 17,486299

439650 9877350 41,69 56,4647,773 -6,083 6,083 37,002889

6,6032204 0,9212172

0,7817827 0,7201917

439700 9877350 42,53 56,7347,773 -5,243 5,243 27,489049

6,6032204 0,7940065

0,5005785 0,3974626

439750 9877350 47,60 56,9347,773 -0,173 0,173 0,029929

6,6032204 0,0261993 1,798E-05 4,712E-07

439800 9877350 48,60 57,2347,773 0,827 0,827 0,683929

6,6032204 0,1252419

0,0019645 0,000246

439850 9877350 53,00 57,40 47,773 5,227 5,227 27,321529 6,603220 0,7915835 0,496009 0,392633

Page 6: perhitungan statistik

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439900 9877350 49,80 57,6347,773 2,027 2,027 4,108729

6,6032204 0,3069714

0,0289264 0,0088796

439800 9877300 49,64 57,7447,773 1,867 1,867 3,485689

6,6032204 0,2827408 0,022603 0,0063908

439850 9877300 55,01 61,6947,773 7,237 7,237 52,374169

6,6032204 1,0959804

1,3164621 1,4428166

439900 9877300 38,64 61,9347,773 -9,133 9,133 83,411689

6,6032204 1,383113

2,6458974 3,6595752

439600 9877350 52,10 64,1947,773 4,327 4,327 18,722929

6,6032204 0,6552863

0,2813801 0,1843845

439500 9877400 40,20 66,1447,773 -7,573 7,573 57,350329

6,6032204 1,1468647

1,5084694 1,7300102

Total 4777,3 525,082 4360,2519156,7208

8 282,99102

Perhitungan :

a. Mean (X ) =∑ Xi

n =4777,3

100 =47,773

b. Median (Me )=X ( n2 )+X ( n2+1)

2

=X ( 100

2 )+X (1002

+1)2

=X (50 )+X (51 )

2

Page 7: perhitungan statistik

=47,94+48,49

2 = 48,215

c. Q1 =X ( n4 )+X ( n4 +1)

2

=X ( 100

4 )+X (1004

+1)2

=X (25 )+X (26 )

2

=42,92+43,45

2 = 43,185

d. Q2 =X ( n2 )+X ( n2+1)

2

=X ( 100

2 )+X (1002

+1)2

=X (50 )+X (51 )

2

=47,94+48,49

2 = 48,215

Page 8: perhitungan statistik

e. Q3 =X ( 3

4n)+X ( 3

4n+1)

2

=X ( 3

4×100)+X ( 3

4×100+1)

2

=X (75 )+X (76 )

2

=51,49+51,83

2 = 51,66

f. Min = 34,27

Max = 66,14

g. Jangkauan = Xmax – Xmin = 66,14 – 34,27 = 31,87

h. Modus ada 1 kadar yaitu 47,94

i. Simpangan baku (S) =√∑ (Xi−X )2

n

=√4360,2519100

= 6,6032204

j. Simpangan rata-rata =∑|Xi−X|n

Page 9: perhitungan statistik

=525,082

100 = 5,25082

k. Ragam (S2) =∑ (Xi−X )2

n

=4360,2519

100 = 43,602519

l. Coefisien variasi (CV) =SX

x 100%

=6,6032204

47,773 x 100%

= 13,82 %

m. Kurtosis (Kc) = { n(n+1)(n−1 ) (n−2 )(n−3)

∑ ( Xi−XS )4}− 3 (n−1 )2

(n−2 )(n−3)

={ 100(100+1)(100−1 ) (100−2 )(100−3)

×282,99102}− 3 (100−1 )2

(100−2 )(100−3)

= ( 10100941094

×282,99102)−294039506

= -0,05598558486

Page 10: perhitungan statistik

n. Skewnnes = n

(n−1 )(n−2)∑ ( Xi−XS )

3

=100

(100−1 )(100−2)×156,72088

= 1,615346114