SETTING THE DIRECTORY AND READING THE DATA

setwd("C:/Users/Bagga/Desktop/Internship 2018/Week1, Day 5")
titanic <- read.csv("C:/Users/Bagga/Desktop/Internship 2018/Week1, Day 5/Titanic Data.csv")
titanic
##     Survived Pclass    Sex  Age SibSp Parch     Fare Embarked
## 1          0      3   male 22.0     1     0   7.2500        S
## 2          1      1 female 38.0     1     0  71.2833        C
## 3          1      3 female 26.0     0     0   7.9250        S
## 4          1      1 female 35.0     1     0  53.1000        S
## 5          0      3   male 35.0     0     0   8.0500        S
## 6          0      3   male 29.7     0     0   8.4583        Q
## 7          0      1   male 54.0     0     0  51.8625        S
## 8          0      3   male  2.0     3     1  21.0750        S
## 9          1      3 female 27.0     0     2  11.1333        S
## 10         1      2 female 14.0     1     0  30.0708        C
## 11         1      3 female  4.0     1     1  16.7000        S
## 12         1      1 female 58.0     0     0  26.5500        S
## 13         0      3   male 20.0     0     0   8.0500        S
## 14         0      3   male 39.0     1     5  31.2750        S
## 15         0      3 female 14.0     0     0   7.8542        S
## 16         1      2 female 55.0     0     0  16.0000        S
## 17         0      3   male  2.0     4     1  29.1250        Q
## 18         1      2   male 29.7     0     0  13.0000        S
## 19         0      3 female 31.0     1     0  18.0000        S
## 20         1      3 female 29.7     0     0   7.2250        C
## 21         0      2   male 35.0     0     0  26.0000        S
## 22         1      2   male 34.0     0     0  13.0000        S
## 23         1      3 female 15.0     0     0   8.0292        Q
## 24         1      1   male 28.0     0     0  35.5000        S
## 25         0      3 female  8.0     3     1  21.0750        S
## 26         1      3 female 38.0     1     5  31.3875        S
## 27         0      3   male 29.7     0     0   7.2250        C
## 28         0      1   male 19.0     3     2 263.0000        S
## 29         1      3 female 29.7     0     0   7.8792        Q
## 30         0      3   male 29.7     0     0   7.8958        S
## 31         0      1   male 40.0     0     0  27.7208        C
## 32         1      1 female 29.7     1     0 146.5208        C
## 33         1      3 female 29.7     0     0   7.7500        Q
## 34         0      2   male 66.0     0     0  10.5000        S
## 35         0      1   male 28.0     1     0  82.1708        C
## 36         0      1   male 42.0     1     0  52.0000        S
## 37         1      3   male 29.7     0     0   7.2292        C
## 38         0      3   male 21.0     0     0   8.0500        S
## 39         0      3 female 18.0     2     0  18.0000        S
## 40         1      3 female 14.0     1     0  11.2417        C
## 41         0      3 female 40.0     1     0   9.4750        S
## 42         0      2 female 27.0     1     0  21.0000        S
## 43         0      3   male 29.7     0     0   7.8958        C
## 44         1      2 female  3.0     1     2  41.5792        C
## 45         1      3 female 19.0     0     0   7.8792        Q
## 46         0      3   male 29.7     0     0   8.0500        S
## 47         0      3   male 29.7     1     0  15.5000        Q
## 48         1      3 female 29.7     0     0   7.7500        Q
## 49         0      3   male 29.7     2     0  21.6792        C
## 50         0      3 female 18.0     1     0  17.8000        S
## 51         0      3   male  7.0     4     1  39.6875        S
## 52         0      3   male 21.0     0     0   7.8000        S
## 53         1      1 female 49.0     1     0  76.7292        C
## 54         1      2 female 29.0     1     0  26.0000        S
## 55         0      1   male 65.0     0     1  61.9792        C
## 56         1      1   male 29.7     0     0  35.5000        S
## 57         1      2 female 21.0     0     0  10.5000        S
## 58         0      3   male 28.5     0     0   7.2292        C
## 59         1      2 female  5.0     1     2  27.7500        S
## 60         0      3   male 11.0     5     2  46.9000        S
## 61         0      3   male 22.0     0     0   7.2292        C
## 62         0      1   male 45.0     1     0  83.4750        S
## 63         0      3   male  4.0     3     2  27.9000        S
## 64         0      1   male 29.7     0     0  27.7208        C
## 65         1      3   male 29.7     1     1  15.2458        C
## 66         1      2 female 29.0     0     0  10.5000        S
## 67         0      3   male 19.0     0     0   8.1583        S
## 68         1      3 female 17.0     4     2   7.9250        S
## 69         0      3   male 26.0     2     0   8.6625        S
## 70         0      2   male 32.0     0     0  10.5000        S
## 71         0      3 female 16.0     5     2  46.9000        S
## 72         0      2   male 21.0     0     0  73.5000        S
## 73         0      3   male 26.0     1     0  14.4542        C
## 74         1      3   male 32.0     0     0  56.4958        S
## 75         0      3   male 25.0     0     0   7.6500        S
## 76         0      3   male 29.7     0     0   7.8958        S
## 77         0      3   male 29.7     0     0   8.0500        S
## 78         1      2   male  0.8     0     2  29.0000        S
## 79         1      3 female 30.0     0     0  12.4750        S
## 80         0      3   male 22.0     0     0   9.0000        S
## 81         1      3   male 29.0     0     0   9.5000        S
## 82         1      3 female 29.7     0     0   7.7875        Q
## 83         0      1   male 28.0     0     0  47.1000        S
## 84         1      2 female 17.0     0     0  10.5000        S
## 85         1      3 female 33.0     3     0  15.8500        S
## 86         0      3   male 16.0     1     3  34.3750        S
## 87         0      3   male 29.7     0     0   8.0500        S
## 88         1      1 female 23.0     3     2 263.0000        S
## 89         0      3   male 24.0     0     0   8.0500        S
## 90         0      3   male 29.0     0     0   8.0500        S
## 91         0      3   male 20.0     0     0   7.8542        S
## 92         0      1   male 46.0     1     0  61.1750        S
## 93         0      3   male 26.0     1     2  20.5750        S
## 94         0      3   male 59.0     0     0   7.2500        S
## 95         0      3   male 29.7     0     0   8.0500        S
## 96         0      1   male 71.0     0     0  34.6542        C
## 97         1      1   male 23.0     0     1  63.3583        C
## 98         1      2 female 34.0     0     1  23.0000        S
## 99         0      2   male 34.0     1     0  26.0000        S
## 100        0      3 female 28.0     0     0   7.8958        S
## 101        0      3   male 29.7     0     0   7.8958        S
## 102        0      1   male 21.0     0     1  77.2875        S
## 103        0      3   male 33.0     0     0   8.6542        S
## 104        0      3   male 37.0     2     0   7.9250        S
## 105        0      3   male 28.0     0     0   7.8958        S
## 106        1      3 female 21.0     0     0   7.6500        S
## 107        1      3   male 29.7     0     0   7.7750        S
## 108        0      3   male 38.0     0     0   7.8958        S
## 109        1      3 female 29.7     1     0  24.1500        Q
## 110        0      1   male 47.0     0     0  52.0000        S
## 111        0      3 female 14.5     1     0  14.4542        C
## 112        0      3   male 22.0     0     0   8.0500        S
## 113        0      3 female 20.0     1     0   9.8250        S
## 114        0      3 female 17.0     0     0  14.4583        C
## 115        0      3   male 21.0     0     0   7.9250        S
## 116        0      3   male 70.5     0     0   7.7500        Q
## 117        0      2   male 29.0     1     0  21.0000        S
## 118        0      1   male 24.0     0     1 247.5208        C
## 119        0      3 female  2.0     4     2  31.2750        S
## 120        0      2   male 21.0     2     0  73.5000        S
## 121        0      3   male 29.7     0     0   8.0500        S
## 122        0      2   male 32.5     1     0  30.0708        C
## 123        1      2 female 32.5     0     0  13.0000        S
## 124        0      1   male 54.0     0     1  77.2875        S
## 125        1      3   male 12.0     1     0  11.2417        C
## 126        0      3   male 29.7     0     0   7.7500        Q
## 127        1      3   male 24.0     0     0   7.1417        S
## 128        1      3 female 29.7     1     1  22.3583        C
## 129        0      3   male 45.0     0     0   6.9750        S
## 130        0      3   male 33.0     0     0   7.8958        C
## 131        0      3   male 20.0     0     0   7.0500        S
## 132        0      3 female 47.0     1     0  14.5000        S
## 133        1      2 female 29.0     1     0  26.0000        S
## 134        0      2   male 25.0     0     0  13.0000        S
## 135        0      2   male 23.0     0     0  15.0458        C
## 136        1      1 female 19.0     0     2  26.2833        S
## 137        0      1   male 37.0     1     0  53.1000        S
## 138        0      3   male 16.0     0     0   9.2167        S
## 139        0      1   male 24.0     0     0  79.2000        C
## 140        0      3 female 29.7     0     2  15.2458        C
## 141        1      3 female 22.0     0     0   7.7500        S
## 142        1      3 female 24.0     1     0  15.8500        S
## 143        0      3   male 19.0     0     0   6.7500        Q
## 144        0      2   male 18.0     0     0  11.5000        S
## 145        0      2   male 19.0     1     1  36.7500        S
## 146        1      3   male 27.0     0     0   7.7958        S
## 147        0      3 female  9.0     2     2  34.3750        S
## 148        0      2   male 36.5     0     2  26.0000        S
## 149        0      2   male 42.0     0     0  13.0000        S
## 150        0      2   male 51.0     0     0  12.5250        S
## 151        1      1 female 22.0     1     0  66.6000        S
## 152        0      3   male 55.5     0     0   8.0500        S
## 153        0      3   male 40.5     0     2  14.5000        S
## 154        0      3   male 29.7     0     0   7.3125        S
## 155        0      1   male 51.0     0     1  61.3792        C
## 156        1      3 female 16.0     0     0   7.7333        Q
## 157        0      3   male 30.0     0     0   8.0500        S
## 158        0      3   male 29.7     0     0   8.6625        S
## 159        0      3   male 29.7     8     2  69.5500        S
## 160        0      3   male 44.0     0     1  16.1000        S
## 161        1      2 female 40.0     0     0  15.7500        S
## 162        0      3   male 26.0     0     0   7.7750        S
## 163        0      3   male 17.0     0     0   8.6625        S
## 164        0      3   male  1.0     4     1  39.6875        S
## 165        1      3   male  9.0     0     2  20.5250        S
## 166        1      1 female 29.7     0     1  55.0000        S
## 167        0      3 female 45.0     1     4  27.9000        S
## 168        0      1   male 29.7     0     0  25.9250        S
## 169        0      3   male 28.0     0     0  56.4958        S
## 170        0      1   male 61.0     0     0  33.5000        S
## 171        0      3   male  4.0     4     1  29.1250        Q
## 172        1      3 female  1.0     1     1  11.1333        S
## 173        0      3   male 21.0     0     0   7.9250        S
## 174        0      1   male 56.0     0     0  30.6958        C
## 175        0      3   male 18.0     1     1   7.8542        S
## 176        0      3   male 29.7     3     1  25.4667        S
## 177        0      1 female 50.0     0     0  28.7125        C
## 178        0      2   male 30.0     0     0  13.0000        S
## 179        0      3   male 36.0     0     0   0.0000        S
## 180        0      3 female 29.7     8     2  69.5500        S
## 181        0      2   male 29.7     0     0  15.0500        C
## 182        0      3   male  9.0     4     2  31.3875        S
## 183        1      2   male  1.0     2     1  39.0000        S
## 184        1      3 female  4.0     0     2  22.0250        S
## 185        0      1   male 29.7     0     0  50.0000        S
## 186        1      3 female 29.7     1     0  15.5000        Q
## 187        1      1   male 45.0     0     0  26.5500        S
## 188        0      3   male 40.0     1     1  15.5000        Q
## 189        0      3   male 36.0     0     0   7.8958        S
## 190        1      2 female 32.0     0     0  13.0000        S
## 191        0      2   male 19.0     0     0  13.0000        S
## 192        1      3 female 19.0     1     0   7.8542        S
## 193        1      2   male  3.0     1     1  26.0000        S
## 194        1      1 female 44.0     0     0  27.7208        C
## 195        1      1 female 58.0     0     0 146.5208        C
## 196        0      3   male 29.7     0     0   7.7500        Q
## 197        0      3   male 42.0     0     1   8.4042        S
## 198        1      3 female 29.7     0     0   7.7500        Q
## 199        0      2 female 24.0     0     0  13.0000        S
## 200        0      3   male 28.0     0     0   9.5000        S
## 201        0      3   male 29.7     8     2  69.5500        S
## 202        0      3   male 34.0     0     0   6.4958        S
## 203        0      3   male 45.5     0     0   7.2250        C
## 204        1      3   male 18.0     0     0   8.0500        S
## 205        0      3 female  2.0     0     1  10.4625        S
## 206        0      3   male 32.0     1     0  15.8500        S
## 207        1      3   male 26.0     0     0  18.7875        C
## 208        1      3 female 16.0     0     0   7.7500        Q
## 209        1      1   male 40.0     0     0  31.0000        C
## 210        0      3   male 24.0     0     0   7.0500        S
## 211        1      2 female 35.0     0     0  21.0000        S
## 212        0      3   male 22.0     0     0   7.2500        S
## 213        0      2   male 30.0     0     0  13.0000        S
## 214        0      3   male 29.7     1     0   7.7500        Q
## 215        1      1 female 31.0     1     0 113.2750        C
## 216        1      3 female 27.0     0     0   7.9250        S
## 217        0      2   male 42.0     1     0  27.0000        S
## 218        1      1 female 32.0     0     0  76.2917        C
## 219        0      2   male 30.0     0     0  10.5000        S
## 220        1      3   male 16.0     0     0   8.0500        S
## 221        0      2   male 27.0     0     0  13.0000        S
## 222        0      3   male 51.0     0     0   8.0500        S
## 223        0      3   male 29.7     0     0   7.8958        S
## 224        1      1   male 38.0     1     0  90.0000        S
## 225        0      3   male 22.0     0     0   9.3500        S
## 226        1      2   male 19.0     0     0  10.5000        S
## 227        0      3   male 20.5     0     0   7.2500        S
## 228        0      2   male 18.0     0     0  13.0000        S
## 229        0      3 female 29.7     3     1  25.4667        S
## 230        1      1 female 35.0     1     0  83.4750        S
## 231        0      3   male 29.0     0     0   7.7750        S
## 232        0      2   male 59.0     0     0  13.5000        S
## 233        1      3 female  5.0     4     2  31.3875        S
## 234        0      2   male 24.0     0     0  10.5000        S
## 235        0      3 female 29.7     0     0   7.5500        S
## 236        0      2   male 44.0     1     0  26.0000        S
## 237        1      2 female  8.0     0     2  26.2500        S
## 238        0      2   male 19.0     0     0  10.5000        S
## 239        0      2   male 33.0     0     0  12.2750        S
## 240        0      3 female 29.7     1     0  14.4542        C
## 241        1      3 female 29.7     1     0  15.5000        Q
## 242        0      2   male 29.0     0     0  10.5000        S
## 243        0      3   male 22.0     0     0   7.1250        S
## 244        0      3   male 30.0     0     0   7.2250        C
## 245        0      1   male 44.0     2     0  90.0000        Q
## 246        0      3 female 25.0     0     0   7.7750        S
## 247        1      2 female 24.0     0     2  14.5000        S
## 248        1      1   male 37.0     1     1  52.5542        S
## 249        0      2   male 54.0     1     0  26.0000        S
## 250        0      3   male 29.7     0     0   7.2500        S
## 251        0      3 female 29.0     1     1  10.4625        S
## 252        0      1   male 62.0     0     0  26.5500        S
## 253        0      3   male 30.0     1     0  16.1000        S
## 254        0      3 female 41.0     0     2  20.2125        S
## 255        1      3 female 29.0     0     2  15.2458        C
## 256        1      1 female 29.7     0     0  79.2000        C
## 257        1      1 female 30.0     0     0  86.5000        S
## 258        1      1 female 35.0     0     0 512.3292        C
## 259        1      2 female 50.0     0     1  26.0000        S
## 260        0      3   male 29.7     0     0   7.7500        Q
## 261        1      3   male  3.0     4     2  31.3875        S
## 262        0      1   male 52.0     1     1  79.6500        S
## 263        0      1   male 40.0     0     0   0.0000        S
## 264        0      3 female 29.7     0     0   7.7500        Q
## 265        0      2   male 36.0     0     0  10.5000        S
## 266        0      3   male 16.0     4     1  39.6875        S
## 267        1      3   male 25.0     1     0   7.7750        S
## 268        1      1 female 58.0     0     1 153.4625        S
## 269        1      1 female 35.0     0     0 135.6333        S
## 270        0      1   male 29.7     0     0  31.0000        S
## 271        1      3   male 25.0     0     0   0.0000        S
## 272        1      2 female 41.0     0     1  19.5000        S
## 273        0      1   male 37.0     0     1  29.7000        C
## 274        1      3 female 29.7     0     0   7.7500        Q
## 275        1      1 female 63.0     1     0  77.9583        S
## 276        0      3 female 45.0     0     0   7.7500        S
## 277        0      2   male 29.7     0     0   0.0000        S
## 278        0      3   male  7.0     4     1  29.1250        Q
## 279        1      3 female 35.0     1     1  20.2500        S
## 280        0      3   male 65.0     0     0   7.7500        Q
## 281        0      3   male 28.0     0     0   7.8542        S
## 282        0      3   male 16.0     0     0   9.5000        S
## 283        1      3   male 19.0     0     0   8.0500        S
## 284        0      1   male 29.7     0     0  26.0000        S
## 285        0      3   male 33.0     0     0   8.6625        C
## 286        1      3   male 30.0     0     0   9.5000        S
## 287        0      3   male 22.0     0     0   7.8958        S
## 288        1      2   male 42.0     0     0  13.0000        S
## 289        1      3 female 22.0     0     0   7.7500        Q
## 290        1      1 female 26.0     0     0  78.8500        S
## 291        1      1 female 19.0     1     0  91.0792        C
## 292        0      2   male 36.0     0     0  12.8750        C
## 293        0      3 female 24.0     0     0   8.8500        S
## 294        0      3   male 24.0     0     0   7.8958        S
## 295        0      1   male 29.7     0     0  27.7208        C
## 296        0      3   male 23.5     0     0   7.2292        C
## 297        0      1 female  2.0     1     2 151.5500        S
## 298        1      1   male 29.7     0     0  30.5000        S
## 299        1      1 female 50.0     0     1 247.5208        C
## 300        1      3 female 29.7     0     0   7.7500        Q
## 301        1      3   male 29.7     2     0  23.2500        Q
## 302        0      3   male 19.0     0     0   0.0000        S
## 303        1      2 female 29.7     0     0  12.3500        Q
## 304        0      3   male 29.7     0     0   8.0500        S
## 305        1      1   male  0.9     1     2 151.5500        S
## 306        1      1 female 29.7     0     0 110.8833        C
## 307        1      1 female 17.0     1     0 108.9000        C
## 308        0      2   male 30.0     1     0  24.0000        C
## 309        1      1 female 30.0     0     0  56.9292        C
## 310        1      1 female 24.0     0     0  83.1583        C
## 311        1      1 female 18.0     2     2 262.3750        C
## 312        0      2 female 26.0     1     1  26.0000        S
## 313        0      3   male 28.0     0     0   7.8958        S
## 314        0      2   male 43.0     1     1  26.2500        S
## 315        1      3 female 26.0     0     0   7.8542        S
## 316        1      2 female 24.0     1     0  26.0000        S
## 317        0      2   male 54.0     0     0  14.0000        S
## 318        1      1 female 31.0     0     2 164.8667        S
## 319        1      1 female 40.0     1     1 134.5000        C
## 320        0      3   male 22.0     0     0   7.2500        S
## 321        0      3   male 27.0     0     0   7.8958        S
## 322        1      2 female 30.0     0     0  12.3500        Q
## 323        1      2 female 22.0     1     1  29.0000        S
## 324        0      3   male 29.7     8     2  69.5500        S
## 325        1      1 female 36.0     0     0 135.6333        C
## 326        0      3   male 61.0     0     0   6.2375        S
## 327        1      2 female 36.0     0     0  13.0000        S
## 328        1      3 female 31.0     1     1  20.5250        S
## 329        1      1 female 16.0     0     1  57.9792        C
## 330        1      3 female 29.7     2     0  23.2500        Q
## 331        0      1   male 45.5     0     0  28.5000        S
## 332        0      1   male 38.0     0     1 153.4625        S
## 333        0      3   male 16.0     2     0  18.0000        S
## 334        1      1 female 29.7     1     0 133.6500        S
## 335        0      3   male 29.7     0     0   7.8958        S
## 336        0      1   male 29.0     1     0  66.6000        S
## 337        1      1 female 41.0     0     0 134.5000        C
## 338        1      3   male 45.0     0     0   8.0500        S
## 339        0      1   male 45.0     0     0  35.5000        S
## 340        1      2   male  2.0     1     1  26.0000        S
## 341        1      1 female 24.0     3     2 263.0000        S
## 342        0      2   male 28.0     0     0  13.0000        S
## 343        0      2   male 25.0     0     0  13.0000        S
## 344        0      2   male 36.0     0     0  13.0000        S
## 345        1      2 female 24.0     0     0  13.0000        S
## 346        1      2 female 40.0     0     0  13.0000        S
## 347        1      3 female 29.7     1     0  16.1000        S
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## 691        1      3 female  4.0     0     1  13.4167        C
## 692        1      3   male 29.7     0     0  56.4958        S
## 693        0      3   male 25.0     0     0   7.2250        C
## 694        0      1   male 60.0     0     0  26.5500        S
## 695        0      2   male 52.0     0     0  13.5000        S
## 696        0      3   male 44.0     0     0   8.0500        S
## 697        1      3 female 29.7     0     0   7.7333        Q
## 698        0      1   male 49.0     1     1 110.8833        C
## 699        0      3   male 42.0     0     0   7.6500        S
## 700        1      1 female 18.0     1     0 227.5250        C
## 701        1      1   male 35.0     0     0  26.2875        S
## 702        0      3 female 18.0     0     1  14.4542        C
## 703        0      3   male 25.0     0     0   7.7417        Q
## 704        0      3   male 26.0     1     0   7.8542        S
## 705        0      2   male 39.0     0     0  26.0000        S
## 706        1      2 female 45.0     0     0  13.5000        S
## 707        1      1   male 42.0     0     0  26.2875        S
## 708        1      1 female 22.0     0     0 151.5500        S
## 709        1      3   male 29.7     1     1  15.2458        C
## 710        1      1 female 24.0     0     0  49.5042        C
## 711        0      1   male 29.7     0     0  26.5500        S
## 712        1      1   male 48.0     1     0  52.0000        S
## 713        0      3   male 29.0     0     0   9.4833        S
## 714        0      2   male 52.0     0     0  13.0000        S
## 715        0      3   male 19.0     0     0   7.6500        S
## 716        1      1 female 38.0     0     0 227.5250        C
## 717        1      2 female 27.0     0     0  10.5000        S
## 718        0      3   male 29.7     0     0  15.5000        Q
## 719        0      3   male 33.0     0     0   7.7750        S
## 720        1      2 female  6.0     0     1  33.0000        S
## 721        0      3   male 17.0     1     0   7.0542        S
## 722        0      2   male 34.0     0     0  13.0000        S
## 723        0      2   male 50.0     0     0  13.0000        S
## 724        1      1   male 27.0     1     0  53.1000        S
## 725        0      3   male 20.0     0     0   8.6625        S
## 726        1      2 female 30.0     3     0  21.0000        S
## 727        1      3 female 29.7     0     0   7.7375        Q
## 728        0      2   male 25.0     1     0  26.0000        S
## 729        0      3 female 25.0     1     0   7.9250        S
## 730        1      1 female 29.0     0     0 211.3375        S
## 731        0      3   male 11.0     0     0  18.7875        C
## 732        0      2   male 29.7     0     0   0.0000        S
## 733        0      2   male 23.0     0     0  13.0000        S
## 734        0      2   male 23.0     0     0  13.0000        S
## 735        0      3   male 28.5     0     0  16.1000        S
## 736        0      3 female 48.0     1     3  34.3750        S
## 737        1      1   male 35.0     0     0 512.3292        C
## 738        0      3   male 29.7     0     0   7.8958        S
## 739        0      3   male 29.7     0     0   7.8958        S
## 740        1      1   male 29.7     0     0  30.0000        S
## 741        0      1   male 36.0     1     0  78.8500        S
## 742        1      1 female 21.0     2     2 262.3750        C
## 743        0      3   male 24.0     1     0  16.1000        S
## 744        1      3   male 31.0     0     0   7.9250        S
## 745        0      1   male 70.0     1     1  71.0000        S
## 746        0      3   male 16.0     1     1  20.2500        S
## 747        1      2 female 30.0     0     0  13.0000        S
## 748        0      1   male 19.0     1     0  53.1000        S
## 749        0      3   male 31.0     0     0   7.7500        Q
## 750        1      2 female  4.0     1     1  23.0000        S
## 751        1      3   male  6.0     0     1  12.4750        S
## 752        0      3   male 33.0     0     0   9.5000        S
## 753        0      3   male 23.0     0     0   7.8958        S
## 754        1      2 female 48.0     1     2  65.0000        S
## 755        1      2   male  0.7     1     1  14.5000        S
## 756        0      3   male 28.0     0     0   7.7958        S
## 757        0      2   male 18.0     0     0  11.5000        S
## 758        0      3   male 34.0     0     0   8.0500        S
## 759        1      1 female 33.0     0     0  86.5000        S
## 760        0      3   male 29.7     0     0  14.5000        S
## 761        0      3   male 41.0     0     0   7.1250        S
## 762        1      3   male 20.0     0     0   7.2292        C
## 763        1      1 female 36.0     1     2 120.0000        S
## 764        0      3   male 16.0     0     0   7.7750        S
## 765        1      1 female 51.0     1     0  77.9583        S
## 766        0      1   male 29.7     0     0  39.6000        C
## 767        0      3 female 30.5     0     0   7.7500        Q
## 768        0      3   male 29.7     1     0  24.1500        Q
## 769        0      3   male 32.0     0     0   8.3625        S
## 770        0      3   male 24.0     0     0   9.5000        S
## 771        0      3   male 48.0     0     0   7.8542        S
## 772        0      2 female 57.0     0     0  10.5000        S
## 773        0      3   male 29.7     0     0   7.2250        C
## 774        1      2 female 54.0     1     3  23.0000        S
## 775        0      3   male 18.0     0     0   7.7500        S
## 776        0      3   male 29.7     0     0   7.7500        Q
## 777        1      3 female  5.0     0     0  12.4750        S
## 778        0      3   male 29.7     0     0   7.7375        Q
## 779        1      1 female 43.0     0     1 211.3375        S
## 780        1      3 female 13.0     0     0   7.2292        C
## 781        1      1 female 17.0     1     0  57.0000        S
## 782        0      1   male 29.0     0     0  30.0000        S
## 783        0      3   male 29.7     1     2  23.4500        S
## 784        0      3   male 25.0     0     0   7.0500        S
## 785        0      3   male 25.0     0     0   7.2500        S
## 786        1      3 female 18.0     0     0   7.4958        S
## 787        0      3   male  8.0     4     1  29.1250        Q
## 788        1      3   male  1.0     1     2  20.5750        S
## 789        0      1   male 46.0     0     0  79.2000        C
## 790        0      3   male 29.7     0     0   7.7500        Q
## 791        0      2   male 16.0     0     0  26.0000        S
## 792        0      3 female 29.7     8     2  69.5500        S
## 793        0      1   male 29.7     0     0  30.6958        C
## 794        0      3   male 25.0     0     0   7.8958        S
## 795        0      2   male 39.0     0     0  13.0000        S
## 796        1      1 female 49.0     0     0  25.9292        S
## 797        1      3 female 31.0     0     0   8.6833        S
## 798        0      3   male 30.0     0     0   7.2292        C
## 799        0      3 female 30.0     1     1  24.1500        S
## 800        0      2   male 34.0     0     0  13.0000        S
## 801        1      2 female 31.0     1     1  26.2500        S
## 802        1      1   male 11.0     1     2 120.0000        S
## 803        1      3   male  0.4     0     1   8.5167        C
## 804        1      3   male 27.0     0     0   6.9750        S
## 805        0      3   male 31.0     0     0   7.7750        S
## 806        0      1   male 39.0     0     0   0.0000        S
## 807        0      3 female 18.0     0     0   7.7750        S
## 808        0      2   male 39.0     0     0  13.0000        S
## 809        1      1 female 33.0     1     0  53.1000        S
## 810        0      3   male 26.0     0     0   7.8875        S
## 811        0      3   male 39.0     0     0  24.1500        S
## 812        0      2   male 35.0     0     0  10.5000        S
## 813        0      3 female  6.0     4     2  31.2750        S
## 814        0      3   male 30.5     0     0   8.0500        S
## 815        0      1   male 29.7     0     0   0.0000        S
## 816        0      3 female 23.0     0     0   7.9250        S
## 817        0      2   male 31.0     1     1  37.0042        C
## 818        0      3   male 43.0     0     0   6.4500        S
## 819        0      3   male 10.0     3     2  27.9000        S
## 820        1      1 female 52.0     1     1  93.5000        S
## 821        1      3   male 27.0     0     0   8.6625        S
## 822        0      1   male 38.0     0     0   0.0000        S
## 823        1      3 female 27.0     0     1  12.4750        S
## 824        0      3   male  2.0     4     1  39.6875        S
## 825        0      3   male 29.7     0     0   6.9500        Q
## 826        0      3   male 29.7     0     0  56.4958        S
## 827        1      2   male  1.0     0     2  37.0042        C
## 828        1      3   male 29.7     0     0   7.7500        Q
## 829        1      3 female 15.0     1     0  14.4542        C
## 830        1      2   male  0.8     1     1  18.7500        S
## 831        0      3   male 29.7     0     0   7.2292        C
## 832        0      3   male 23.0     0     0   7.8542        S
## 833        0      3   male 18.0     0     0   8.3000        S
## 834        1      1 female 39.0     1     1  83.1583        C
## 835        0      3   male 21.0     0     0   8.6625        S
## 836        0      3   male 29.7     0     0   8.0500        S
## 837        1      3   male 32.0     0     0  56.4958        S
## 838        1      1   male 29.7     0     0  29.7000        C
## 839        0      3   male 20.0     0     0   7.9250        S
## 840        0      2   male 16.0     0     0  10.5000        S
## 841        1      1 female 30.0     0     0  31.0000        C
## 842        0      3   male 34.5     0     0   6.4375        C
## 843        0      3   male 17.0     0     0   8.6625        S
## 844        0      3   male 42.0     0     0   7.5500        S
## 845        0      3   male 29.7     8     2  69.5500        S
## 846        0      3   male 35.0     0     0   7.8958        C
## 847        0      2   male 28.0     0     1  33.0000        S
## 848        1      1 female 29.7     1     0  89.1042        C
## 849        0      3   male  4.0     4     2  31.2750        S
## 850        0      3   male 74.0     0     0   7.7750        S
## 851        0      3 female  9.0     1     1  15.2458        C
## 852        1      1 female 16.0     0     1  39.4000        S
## 853        0      2 female 44.0     1     0  26.0000        S
## 854        1      3 female 18.0     0     1   9.3500        S
## 855        1      1 female 45.0     1     1 164.8667        S
## 856        1      1   male 51.0     0     0  26.5500        S
## 857        1      3 female 24.0     0     3  19.2583        C
## 858        0      3   male 29.7     0     0   7.2292        C
## 859        0      3   male 41.0     2     0  14.1083        S
## 860        0      2   male 21.0     1     0  11.5000        S
## 861        1      1 female 48.0     0     0  25.9292        S
## 862        0      3 female 29.7     8     2  69.5500        S
## 863        0      2   male 24.0     0     0  13.0000        S
## 864        1      2 female 42.0     0     0  13.0000        S
## 865        1      2 female 27.0     1     0  13.8583        C
## 866        0      1   male 31.0     0     0  50.4958        S
## 867        0      3   male 29.7     0     0   9.5000        S
## 868        1      3   male  4.0     1     1  11.1333        S
## 869        0      3   male 26.0     0     0   7.8958        S
## 870        1      1 female 47.0     1     1  52.5542        S
## 871        0      1   male 33.0     0     0   5.0000        S
## 872        0      3   male 47.0     0     0   9.0000        S
## 873        1      2 female 28.0     1     0  24.0000        C
## 874        1      3 female 15.0     0     0   7.2250        C
## 875        0      3   male 20.0     0     0   9.8458        S
## 876        0      3   male 19.0     0     0   7.8958        S
## 877        0      3   male 29.7     0     0   7.8958        S
## 878        1      1 female 56.0     0     1  83.1583        C
## 879        1      2 female 25.0     0     1  26.0000        S
## 880        0      3   male 33.0     0     0   7.8958        S
## 881        0      3 female 22.0     0     0  10.5167        S
## 882        0      2   male 28.0     0     0  10.5000        S
## 883        0      3   male 25.0     0     0   7.0500        S
## 884        0      3 female 39.0     0     5  29.1250        Q
## 885        0      2   male 27.0     0     0  13.0000        S
## 886        1      1 female 19.0     0     0  30.0000        S
## 887        0      3 female 29.7     1     2  23.4500        S
## 888        1      1   male 26.0     0     0  30.0000        C
## 889        0      3   male 32.0     0     0   7.7500        Q

SUMMARY OF THE DATA

summary(titanic)
##     Survived          Pclass          Sex           Age       
##  Min.   :0.0000   Min.   :1.000   female:312   Min.   : 0.40  
##  1st Qu.:0.0000   1st Qu.:2.000   male  :577   1st Qu.:22.00  
##  Median :0.0000   Median :3.000                Median :29.70  
##  Mean   :0.3825   Mean   :2.312                Mean   :29.65  
##  3rd Qu.:1.0000   3rd Qu.:3.000                3rd Qu.:35.00  
##  Max.   :1.0000   Max.   :3.000                Max.   :80.00  
##      SibSp            Parch             Fare         Embarked
##  Min.   :0.0000   Min.   :0.0000   Min.   :  0.000   C:168   
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:  7.896   Q: 77   
##  Median :0.0000   Median :0.0000   Median : 14.454   S:644   
##  Mean   :0.5242   Mean   :0.3825   Mean   : 32.097           
##  3rd Qu.:1.0000   3rd Qu.:0.0000   3rd Qu.: 31.000           
##  Max.   :8.0000   Max.   :6.0000   Max.   :512.329

STRUCTURE OF THE DATA

str(titanic)
## 'data.frame':    889 obs. of  8 variables:
##  $ Survived: int  0 1 1 1 0 0 0 0 1 1 ...
##  $ Pclass  : int  3 1 3 1 3 3 1 3 3 2 ...
##  $ Sex     : Factor w/ 2 levels "female","male": 2 1 1 1 2 2 2 2 1 1 ...
##  $ Age     : num  22 38 26 35 35 29.7 54 2 27 14 ...
##  $ SibSp   : int  1 1 0 1 0 0 0 3 0 1 ...
##  $ Parch   : int  0 0 0 0 0 0 0 1 2 0 ...
##  $ Fare    : num  7.25 71.28 7.92 53.1 8.05 ...
##  $ Embarked: Factor w/ 3 levels "C","Q","S": 3 1 3 3 3 2 3 3 3 1 ...

TOTAL NUMBER OF PASSENGERS

library(psych)
describe(titanic)
##           vars   n  mean    sd median trimmed   mad min    max  range
## Survived     1 889  0.38  0.49   0.00    0.35  0.00 0.0   1.00   1.00
## Pclass       2 889  2.31  0.83   3.00    2.39  0.00 1.0   3.00   2.00
## Sex*         3 889  1.65  0.48   2.00    1.69  0.00 1.0   2.00   1.00
## Age          4 889 29.65 12.97  29.70   29.22  9.34 0.4  80.00  79.60
## SibSp        5 889  0.52  1.10   0.00    0.27  0.00 0.0   8.00   8.00
## Parch        6 889  0.38  0.81   0.00    0.19  0.00 0.0   6.00   6.00
## Fare         7 889 32.10 49.70  14.45   21.28 10.24 0.0 512.33 512.33
## Embarked*    8 889  2.54  0.79   3.00    2.67  0.00 1.0   3.00   2.00
##            skew kurtosis   se
## Survived   0.48    -1.77 0.02
## Pclass    -0.63    -1.27 0.03
## Sex*      -0.62    -1.61 0.02
## Age        0.43     0.96 0.43
## SibSp      3.68    17.69 0.04
## Parch      2.74     9.66 0.03
## Fare       4.79    33.23 1.67
## Embarked* -1.26    -0.23 0.03

TOTAL NUMBER OF PASSENGERS SURVIVED

table(titanic$Survived)
## 
##   0   1 
## 549 340

PERCENTAGE OF PASSENGERS WHO SURVIVED THE SINKING

my_table <- with(titanic,table(Survived))
my_table  
## Survived
##   0   1 
## 549 340
#PROPORTIONS AND PERCENTAGES
prop.table(my_table) #proportion
## Survived
##         0         1 
## 0.6175478 0.3824522
prop.table(my_table)*100 #percentage
## Survived
##        0        1 
## 61.75478 38.24522

number of first-class passengers who survived the sinking of the Titanic

percentage of first-class passengers who survived the sinking of the Titanic

library("gmodels")
CrossTable(titanic$Pclass,titanic$Survived)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  889 
## 
##  
##                | titanic$Survived 
## titanic$Pclass |         0 |         1 | Row Total | 
## ---------------|-----------|-----------|-----------|
##              1 |        80 |       134 |       214 | 
##                |    20.583 |    33.236 |           | 
##                |     0.374 |     0.626 |     0.241 | 
##                |     0.146 |     0.394 |           | 
##                |     0.090 |     0.151 |           | 
## ---------------|-----------|-----------|-----------|
##              2 |        97 |        87 |       184 | 
##                |     2.434 |     3.929 |           | 
##                |     0.527 |     0.473 |     0.207 | 
##                |     0.177 |     0.256 |           | 
##                |     0.109 |     0.098 |           | 
## ---------------|-----------|-----------|-----------|
##              3 |       372 |       119 |       491 | 
##                |    15.604 |    25.195 |           | 
##                |     0.758 |     0.242 |     0.552 | 
##                |     0.678 |     0.350 |           | 
##                |     0.418 |     0.134 |           | 
## ---------------|-----------|-----------|-----------|
##   Column Total |       549 |       340 |       889 | 
##                |     0.618 |     0.382 |           | 
## ---------------|-----------|-----------|-----------|
## 
## 

number of females from First-Class who survived the sinking of the Titanic

my_table <- xtabs(~ Pclass + Sex + Survived, data = titanic)
ftable(my_table)
##               Survived   0   1
## Pclass Sex                    
## 1      female            3  89
##        male             77  45
## 2      female            6  70
##        male             91  17
## 3      female           72  72
##        male            300  47

number of females from First-Class who survived the sinking of the Titanic - 89

percentage of survivors who were female

my_table <- xtabs(~ Sex + Survived, data = titanic)
margin.table(my_table,2) 
## Survived
##   0   1 
## 549 340
prop.table(my_table,2)*100 
##         Survived
## Sex             0        1
##   female 14.75410 67.94118
##   male   85.24590 32.05882

percentage of survivors who were female - 67%

the percentage of females on board the Titanic who survived

margin.table(my_table,1) #ROW SUMS
## Sex
## female   male 
##    312    577
prop.table(my_table,1)*100 #ROW PROPORTIONS
##         Survived
## Sex             0        1
##   female 25.96154 74.03846
##   male   81.10919 18.89081

the percentage of females on board the Titanic who survived - 74%

CHI-SQUARED TEST

Hypothesis: The proportion of females onboard who survived the sinking of the Titanic was higher than the proportion of males onboard who survived the sinking of the Titanic.

my_table <- xtabs(~ Sex + Survived, data = titanic)
addmargins(my_table)
##         Survived
## Sex        0   1 Sum
##   female  81 231 312
##   male   468 109 577
##   Sum    549 340 889
prop.table(my_table)*100 
##         Survived
## Sex              0         1
##   female  9.111361 25.984252
##   male   52.643420 12.260967
chisq.test(my_table)
## 
##  Pearson's Chi-squared test with Yates' continuity correction
## 
## data:  my_table
## X-squared = 258.43, df = 1, p-value < 2.2e-16

Since the probability is small (p < 0.01), we reject the Null hypothesis that the proportion of females onboard who survived the sinking of the Titanic was higher than the proportion of males onboard who survived the sinking of the Titanic.