Tugas Statistika Dan Probabilitas
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1 TUGAS STATISTIKA DAN PROBABILITAS Oleh Devi / 1206243601 / Teknik Kimia Tabel 1. Titik didik senyawa-senyawa alkohol, aldehida, dan fenol No. Nama Senyawa Titik Didih (°C) 1 Methanol 65 2 Ethanol 78 3 2-Propanol 83 4 2-Methyl-2-propanol 83 5 2-Propen-1-ol 97 6 1-Propanol 97 7 2-Butanol 99 8 2-Methyl-2-butanol 102 9 2-Methyl-1-propanol 108 10 1-Butanol 116 11 3-Pentanol 116 12 2-Pentanol 119 13 3-Methyl-3-pentanol 123 14 2-Methoxyethanol 124 15 1-Chloro-2-propanol 127 16 2-Methyl-1-butanol 129 17 3-Methyl-1-butanol 131 18 2-Chloroetanol 131 19 4-Methyl-2-pentanol 132 20 2-Ethoxyethanol 135 21 3-Hexanol 135 22 1-Pentanol 138 23 2-Hexanol 139 24 Cyclopentanol 140 25 3-Hydroxy-2-butanone 145 26 3,2,2-Trichloroethanol 151 27 1-Hexanol 157 28 2-Heptanol 159 29 Cyclohexanol 161 30 1-Amino-2-propanol 163 31 4-Hydroxy-4-methyl-2-pentanone 166 32 2-Furylmethanol 171 33 1-Heptanol 176 34 2-Octanol 179 35 1,2-Propanediol 187 36 1-Octanol 194 37 1,2-Ethanediol 197 38 1-Phenylethanol 202 39 Benzyl alcohol 205 40 1,3-Propanediol 214
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Transcript of Tugas Statistika Dan Probabilitas
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1
TUGAS STATISTIKA DAN PROBABILITAS
Oleh Devi / 1206243601 / Teknik Kimia
Tabel 1. Titik didik senyawa-senyawa alkohol, aldehida, dan fenol
No. Nama Senyawa Titik Didih
(C)
1 Methanol 65
2 Ethanol 78
3 2-Propanol 83
4 2-Methyl-2-propanol 83
5 2-Propen-1-ol 97
6 1-Propanol 97
7 2-Butanol 99
8 2-Methyl-2-butanol 102
9 2-Methyl-1-propanol 108
10 1-Butanol 116
11 3-Pentanol 116
12 2-Pentanol 119
13 3-Methyl-3-pentanol 123
14 2-Methoxyethanol 124
15 1-Chloro-2-propanol 127
16 2-Methyl-1-butanol 129
17 3-Methyl-1-butanol 131
18 2-Chloroetanol 131
19 4-Methyl-2-pentanol 132
20 2-Ethoxyethanol 135
21 3-Hexanol 135
22 1-Pentanol 138
23 2-Hexanol 139
24 Cyclopentanol 140
25 3-Hydroxy-2-butanone 145
26 3,2,2-Trichloroethanol 151
27 1-Hexanol 157
28 2-Heptanol 159
29 Cyclohexanol 161
30 1-Amino-2-propanol 163
31 4-Hydroxy-4-methyl-2-pentanone 166
32 2-Furylmethanol 171
33 1-Heptanol 176
34 2-Octanol 179
35 1,2-Propanediol 187
36 1-Octanol 194
37 1,2-Ethanediol 197
38 1-Phenylethanol 202
39 Benzyl alcohol 205
40 1,3-Propanediol 214
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2
41 2-Phenylethanol 219
42 1-Decanol 231
43 3-Phenyl-1-propanol 236
44 Cinnamyl alcohol 257
45 1-Deodecanol 259
46 4-Methoxybenzyl alcohol 259
47 Glycerol 290
48 2,2-Dimethyl-1-propanol 113
49 Diphenylmethanol 288
50 Propanal 49
51 2-Butenal 103
52 Hexanal 128
53 Heptanal 155
54 2-Furancarboxaldehyde 161
55 Cyclohexane-carboxaldehyde 161
56 Octanal 171
57 Benzaldehyde 179
58 Phenylethanal 194
59 2-Hydroxy-benzaldehyde 196
60 4-Methylbenzaldehyde 204
61 2-Chlorobenzaldehyde 213
62 3-Phenylpropanol 224
63 3-Bromobenzaldehyde 235
64 2-Methoxybenzaldehyde 245
65 4-Methoxybenzaldehyde 247
66 Cinnamaldehyde 252
67 3,4-Methylenedioxy-benzaldehyde 263
68 3,4-Dimethoxy-benzaldehyde 214
69 2-Hydroxybenzaldehyde 196
70 2-Methoxyphenol 205
71 4-Chlorophenol 217
72 Methyl 2-hydroxybenzoate 223
73 2-tert-Butylphenol 224
74 Ethyl 2-hydroxybenzoate 234
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3
UKURAN PEMUSATAN
1. Mean Aritmatika
= =1
= 12619
74= 170,52
2. Median Penentuan median perlu diawali dengan pengurutan data dari yang kecil ke yang besar.
Dengan demikian, data di atas dapat diurut sebagai berikut.
Tabel 2. Data terjajar titik didik senyawa-senyawa alkohol, aldehida, dan fenol
No. Nama Senyawa Titik Didih
(C)
1 Propanal 49
2 Methanol 65
3 Ethanol 78
4 2-Propanol 83
5 2-Methyl-2-propanol 83
6 2-Propen-1-ol 97
7 1-Propanol 97
8 2-Butanol 99
9 2-Methyl-2-butanol 102
10 2-Butenal 103
11 2-Methyl-1-propanol 108
12 2,2-Dimethyl-1-propanol 113
13 1-Butanol 116
14 3-Pentanol 116
15 2-Pentanol 119
16 3-Methyl-3-pentanol 123
17 2-Methoxyethanol 124
18 1-Chloro-2-propanol 127
19 Hexanal 128
20 2-Methyl-1-butanol 129
21 3-Methyl-1-butanol 131
22 2-Chloroetanol 131
23 4-Methyl-2-pentanol 132
24 2-Ethoxyethanol 135
25 3-Hexanol 135
26 1-Pentanol 138
27 2-Hexanol 139
28 Cyclopentanol 140
29 3-Hydroxy-2-butanone 145
30 3,2,2-Trichloroethanol 151
31 Heptanal 155
32 1-Hexanol 157
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33 2-Heptanol 159
34 Cyclohexanol 161
35 2-Furancarboxaldehyde 161
36 Cyclohexane-carboxaldehyde 161
37 1-Amino-2-propanol 163
38 4-Hydroxy-4-methyl-2-pentanone 166
39 2-Furylmethanol 171
40 Octanal 171
41 1-Heptanol 176
42 2-Octanol 179
43 Benzaldehyde 179
44 1,2-Propanediol 187
45 1-Octanol 194
46 Phenylethanal 194
47 2-Hydroxy-benzaldehyde 196
48 2-Hydroxybenzaldehyde 196
49 1,2-Ethanediol 197
50 1-Phenylethanol 202
51 4-Methylbenzaldehyde 204
52 Benzyl alcohol 205
53 2-Methoxyphenol 205
54 2-Chlorobenzaldehyde 213
55 1,3-Propanediol 214
56 3,4-Dimethoxy-benzaldehyde 214
57 4-Chlorophenol 217
58 2-Phenylethanol 219
59 Methyl 2-hydroxybenzoate 223
60 3-Phenylpropanol 224
61 2-tert-Butylphenol 224
62 1-Decanol 231
63 Ethyl 2-hydroxybenzoate 234
64 3-Bromobenzaldehyde 235
65 3-Phenyl-1-propanol 236
66 2-Methoxybenzaldehyde 245
67 4-Methoxybenzaldehyde 247
68 Cinnamaldehyde 252
69 Cinnamyl alcohol 257
70 1-Deodecanol 259
71 4-Methoxybenzyl alcohol 259
72 3,4-Methylenedioxy-benzaldehyde 263
73 Diphenylmethanol 288
74 Glycerol 290
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5
=
2 +
2 + 1
2
= 37 + 38
2
= 163 + 166
2= 164,5
3. Modus = 161
4. Kuantil
Kuartil Kuartil pertama :
1 = + 2
4
1 = 19 = 128
Kuartil kedua :
2 = = 164,5
Kuartil ketiga :
3 = 3 + 2
4
3 = 56 = 214 Desil
Desil pertama :
1 = 1( + 1)
10
1 =7 + 8
2= 98
Desil kedua :
2 = 2( + 1)
10
2 = 15 = 119
Desil ketiga :
3 = 3( + 1)
10
3 =22 + 23
2= 131,5
Desil keempat :
4 = 4( + 1)
10
4 = 30 = 151
Desil kelima :
5 = 5( + 1)
10
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6
5 =37 + 38
2= 164,5
Desil keenam :
6 = 6( + 1)
10
6 = 45 = 194
Desil ketujuh :
7 = 7( + 1)
10
7 =52 + 53
2= 205
Desil kedelapan :
8 = 8( + 1)
10
8 = 60 = 224
Desil kesembilan :
9 = 9( + 1)
10
9 =67 + 68
2= 249,5
- Persentil Persentil 1 :
1 = 1( + 1)
100
1 = 0,75 = 0 + 0,75 1 0 = 36,75 Persentil 2 :
2 = 2( + 1)
100
2 = 1 + 0,5 2 1 = 57 Persentil 3 :
3 = 3( + 1)
100
3 = 2 + 0,25 3 2 = 68,25 Persentil 4 :
4 = 4( + 1)
100
4 = 3 = 78 Persentil 5 :
5 = 5( + 1)
100
5 = 3 + 0,75 4 3 = 81,75 Persentil 6 :
6 = 6( + 1)
100
6 = 4 + 0,5 5 4 = 83 Persentil 7 :
7 = 7( + 1)
100
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7
7 = 5 + 0,25 6 5 = 86,5 Persentil 8 :
8 = 8( + 1)
100
8 = 6 = 97 Persentil 9 :
9 = 9( + 1)
100
9 = 6 + 0,75 7 6 = 97 Persentil 10 :
10 = 10( + 1)
100
10 = 7 + 0,5 8 7 = 98 Persentil 11 :
11 = 11( + 1)
100
11 = 8 + 0,25 9 8 = 99,75 Persentil 12 :
12 = 12( + 1)
100
12 = 9 = 102 Persentil 13 :
13 = 13( + 1)
100
13 = 9 + 0,75 10 9 = 102,75 Persentil 14 :
14 = 14( + 1)
100
14 = 10 + 0,5 11 10 = 105,5 Persentil 15 :
15 = 15( + 1)
100
15 = 11 + 0,25 12 11 = 109,25 Persentil 16 :
16 = 16( + 1)
100
16 = 12 = 113 Persentil 17 :
17 = 17( + 1)
100
17 = 12 + 0,75 13 12 = 115,25 Persentil 18 :
18 = 18( + 1)
100
18 = 13 + 0,5 14 13 = 116
Persentil 19 :
19 = 19( + 1)
100
19 = 14 + 0,25 15 14 = 116,75 Persentil 20 :
20 = 20( + 1)
100
20 = 15 = 119
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8
Persentil 21 :
21 = 21( + 1)
100
21 = 15 + 0,75 16 15 = 122 Persentil 22 :
22 = 22( + 1)
100
22 = 16 + 0,5 17 16 = 123,5 Persentil 23 :
23 = 23( + 1)
100
23 = 17 + 0,25 18 17 = 124,75 Persentil 24 :
24 = 24( + 1)
100
24 = 18 = 127 Persentil 25 :
25 = 25( + 1)
100
25 = 18 + 0,75 19 18 = 127,75 Persentil 26 :
26 = 26( + 1)
100
26 = 19 + 0,5 20 19 = 128,5 Persentil 27 :
27 = 27( + 1)
100
27 = 20 + 0,25 21 20 = 129,5 Persentil 28 :
28 = 28( + 1)
100
28 = 21 = 131 Persentil 29 :
29 = 29( + 1)
100
29 = 21 + 0,75 22 21 = 131 Persentil 30 :
30 = 30( + 1)
100
30 = 22 + 0,5 23 22 = 131,5 Persentil 31 :
31 = 31( + 1)
100
31 = 23 + 0,25 24 23 = 132,75 Persentil 32 :
32 = 32( + 1)
100
32 = 24 = 135 Persentil 33 :
33 = 33( + 1)
100
33 = 24 + 0,75 25 24 = 135
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9
Persentil 34 :
34 = 34( + 1)
100
34 = 25 + 0,5 26 25 = 136,5 Persentil 35 :
35 = 35( + 1)
100
35 = 26 + 0,25 27 26 = 138,25 Persentil 36 :
36 = 36( + 1)
100
36 = 27 = 139 Persentil 37 :
37 = 37( + 1)
100
37 = 27 + 0,75 28 27 = 139,75 Persentil 38 :
38 = 38( + 1)
100
38 = 28 + 0,5 29 28 = 142,5 Persentil 39 :
39 = 39( + 1)
100
39 = 29 + 0,25 30 29 = 146,5 Persentil 40 :
40 = 40( + 1)
100
40 = 30 = 151 Persentil 41 :
41 = 41( + 1)
100
41 = 30 + 0,75 31 30 = 154 Persentil 42 :
42 = 42( + 1)
100
42 = 31 + 0,5 32 31 = 156 Persentil 43 :
43 = 43( + 1)
100
43 = 32 + 0,25 33 32 = 157,5 Persentil 44 :
44 = 44( + 1)
100
44 = 33 = 159 Persentil 45 :
45 = 45( + 1)
100
45 = 33 + 0,75 34 33 = 160,5
Persentil 46 :
46 = 46( + 1)
100
46 = 34 + 0,5 35 34 = 161
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10
Persentil 47 :
47 = 47( + 1)
100
47 = 35 + 0,25 36 35 = 161 Persentil 48 :
48 = 48( + 1)
100
48 = 36 = 161 Persentil 49 :
49 = 49( + 1)
100
49 = 36 + 0,75 37 36 = 162,5 Persentil 50 :
50 = 50( + 1)
100
50 = 37 + 0,5 38 37 = 164,5 Persentil 51 :
51 = 51( + 1)
100
51 = 38 + 0,25 39 38 = 167,25 Persentil 52 :
52 = 52( + 1)
100
52 = 39 = 171 Persentil 53 :
53 = 53( + 1)
100
53 = 39 + 0,75 40 39 = 171 Persentil 54 :
54 = 54( + 1)
100
54 = 40 + 0,5 41 40 = 173,5 Persentil 55 :
55 = 55( + 1)
100
55 = 41 + 0,25 42 41 = 176,75 Persentil 56 :
56 = 56( + 1)
100
56 = 42 = 179 Persentil 57 :
57 = 57( + 1)
100
57 = 42 + 0,75 43 42 = 179 Persentil 58 :
58 = 58( + 1)
100
58 = 43 + 0,5 44 43 = 183
Persentil 59 :
59 = 59( + 1)
100
59 = 44 + 0,25 45 44 = 188,75
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11
Persentil 60 :
60 = 60( + 1)
100
60 = 45 = 194 Persentil 61 :
61 = 61( + 1)
100
61 = 45 + 0,75 46 45 = 194 Persentil 62 :
62 = 62( + 1)
100
62 = 46 + 0,5 47 46 = 195 Persentil 63 :
63 = 63( + 1)
100
63 = 47 + 0,25 48 47 = 196 Persentil 64 :
64 = 64( + 1)
100
64 = 48 = 196 Persentil 65 :
65 = 65( + 1)
100
65 = 48 + 0,75 49 48 = 196,75 Persentil 66 :
66 = 66( + 1)
100
66 = 49 + 0,5 50 49 = 199,5 Persentil 67 :
67 = 67( + 1)
100
67 = 50 + 0,25 51 50 = 202,5 Persentil 68 :
68 = 68( + 1)
100
68 = 51 = 204 Persentil 69 :
69 = 69( + 1)
100
69 = 51 + 0,75 52 51 = 204,75 Persentil 70 :
70 = 70( + 1)
100
70 = 52 + 0,5 53 52 = 205 Persentil 71 :
71 = 71( + 1)
100
71 = 53 + 0,25 54 53 = 207 Persentil 72 :
72 = 72( + 1)
100
72 = 54 = 213
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12
Persentil 73 :
73 = 73( + 1)
100
73 = 54 + 0,75 55 54 = 213,75 Persentil 74 :
74 = 74( + 1)
100
74 = 55 + 0,5 56 55 = 214 Persentil 75 :
75 = 75( + 1)
100
75 = 56 + 0,25 57 56 = 214,75 Persentil 76 :
76 = 76( + 1)
100
76 = 57 = 217 Persentil 77 :
77 = 77( + 1)
100
77 = 57 + 0,75 58 57 = 218,5 Persentil 78 :
78 = 78( + 1)
100
78 = 58 + 0,5 59 58 = 221 Persentil 79 :
79 = 79( + 1)
100
79 = 59 + 0,25 60 59 = 223,25 Persentil 80 :
80 = 80( + 1)
100
80 = 60 = 224 Persentil 81 :
81 = 81( + 1)
100
81 = 60 + 0,75 61 60 = 224 Persentil 82 :
82 = 82( + 1)
100
82 = 61 + 0,5 62 61 = 227,5 Persentil 83 :
83 = 83( + 1)
100
83 = 62 + 0,25 61 60 = 224 Persentil 84 :
84 = 84( + 1)
100
84 = 63 = 234
Persentil 85 :
85 = 85( + 1)
100
85 = 63 + 0,75 64 63 = 234,75
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13
Persentil 86 :
86 = 86( + 1)
100
86 = 64 + 0,5 65 64 = 235,5 Persentil 87 :
87 = 87( + 1)
100
87 = 65 + 0,25 66 65 = 238,25 Persentil 88 :
88 = 88( + 1)
100
88 = 66 = 245 Persentil 89 :
89 = 89( + 1)
100
89 = 66 + 0,75 67 66 = 246,5 Persentil 90 :
90 = 90( + 1)
100
90 = 67 + 0,5 68 67 = 249,5 Persentil 91 :
91 = 91( + 1)
100
91 = 68 + 0,25 69 68 = 253,25 Persentil 92 :
92 = 92( + 1)
100
92 = 69 = 257 Persentil 93 :
93 = 93( + 1)
100
93 = 69 + 0,75 70 69 = 258,5 Persentil 94 :
94 = 94( + 1)
100
94 = 70 + 0,5 71 70 = 259 Persentil 95 :
95 = 95( + 1)
100
95 = 71 + 0,25 72 71 = 260 Persentil 96 :
96 = 96( + 1)
100
96 = 72 = 263 Persentil 97 :
97 = 97( + 1)
100
97 = 72 + 0,75 73 72 = 281,75
Persentil 98 :
98 = 98( + 1)
100
98 = 73 + 0,5 74 73 = 289
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14
Persentil 99 :
99 =
UKURAN PENYEBARAN
1. Jangkauan =
= 290 49 = 241
2. Jangkauan Persentil 1090 = 90 10
1090 = 249,5 98 = 151,5
3. Simpangan Kuartil
=3 1
2
=214 128
= 2= 43
4. Simpangan Mutlak Rata-Rata
= =1
= 49170,52 + 65170,52 ++ 288170,52 + 290170,52
74 = 47,595
5. Simpangan Baku
=
2=1
1
= 49170,52 2+ 65170,52 2++ 288170,52 2+ 290170,52 2
73 = 56,522
6. Varians
2 =
2
=1
1= 3194,773
Koefisien variasi
=
= 56,522
170,52= 0,331
7. Moment - Moment ke-r
=
=1
- Moment ke-r simpangan terhadap mean
, =
=1
- Moment ke-r simpangan terhadap sembarang
, =
=1
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15
8. Koefisien Skewness
Terdapat beberapa koefisien yang bdapat dijadika koefisien kemencengan (skewness
factor/coefficient), antara lain :
, =
, = 3( )
, =3 22 + 1
3 1= 0,151
,1090 =90 250 + 10
90 10= 0,122
Koefisien kurtosis
=
90 10=
3 1
90 10= 0,284
