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perhitungan statistik
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Transcript of 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
4 5
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
4 9
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
4 7
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
4 4
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
4 7
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
=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
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
=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
n. Skewnnes = n
(n−1 )(n−2)∑ ( Xi−XS )
3
=100
(100−1 )(100−2)×156,72088
= 1,615346114