Problem3_soln - Number of Vehicles Arriving at a Toll Booth in a Particular One-Minute Period Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Problem3_soln - Number of Vehicles Arriving at a Toll Booth...

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  • whalerz
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Number of Vehicles Arriving at a Toll Booth in a Particular One-Minute Period Day Arrivals 1 6 2 4 3 4 4 3 5 1 6 7 7 4 8 4 9 2 10 4 11 4 12 2 13 3 14 1 15 2 16 2 17 4 18 7 19 7 20 1 21 4 22 5 23 3 24 3 25 1 26 2 27 2 28 0 29 2 30 4 31 3 32 5 33 3 34 3 35 4 36 8 37 3 38 3 39 3 40 2 41 3 42 2 43 3 44 2 45 1 46 2 47 3 48 2 49 2 50 6 51 3 52 2 53 6 54 3 55 4 56 2 57 2 58 1 59 2 60 6 61 5 62 5 63 1 64 1 65 2 66 7 67 0 68 5 69 3 70 5 71 3 72 0 73 1 74 1 75 1 76 5 77 4 78 5 79 2 80 3 81 4 82 3 83 1 84 4 85 2 86 2 87 2 88 2 89 4 90 8 91 1 92 5 93 1 94 3 95 4 96 4 97 3 98 5 99 3 100 1 101 3 102 3 103 3 104 5 105 1 106 3 107 3 108 2 109 1 110 1 111 2 112 11 113 3 114 3 115 2 116 3 117 2 118 2 119 6 120 1 121 5 122 2 123 2 124 2 125 4 126 3 127 2 128 1 129 2 130 2 131 3 132 5 133 5 134 1 135 3 136 2 137 3 138 3 139 4 140 1 141 5 142 4 143 2 144 6 145 2 146 2 147 3 148 5 149 1 150 4 151 3 152 3 153 4 154 2 155 5 156 3 157 0 158 0 159 1 160 3 161 4 162 1 163 1 164 3 165 3 166 3 167 5 168 1 169 1 170 4 171 0 172 1 173 3 174 2 175 2 176 2 177 2 178 1 179 2 180 5 181 2 182 3 183 1 184 5 185 3 186 3 187 1 188 1 189 2 190 2 191 4 192 2 193 3 194 5 195 2 196 7 197 2 198 2 199 3 200 4 201 5 202 2 203 1 204 1 205 4 206 5 207 4 208 2 209 5 210 3 211 2 212 4 213 4 214 4 215 3 216 1 217 2 218 1 219 2 220 0 221 3 222 2 223 1 224 3 225 3 226 3 227 6 228 4 229 2 230 1 231 4 232 3 233 3 234 3 235 3 236 2 237 5 238 1 239 3 240 5 241 4 242 5 243 1 244 0 245 7 246 2 247 1 248 2 249 2 250 4 251 2 252 4 253 1 254 3 255 1 256 4 257 2 258 3 259 6 260 4 261 3 262 4 263 2 264 2 265 2 266 1 267 4 268 3 269 3 270 3 271 6 272 4 273 4 274 3 275 1 276 7 277 4 278 4 279 2 280 4 281 4 282 2 283 3 284 1 285 2 286 2 287 4 288 7 289 7 290 1 291 4 292 5 293 3 294 3 295 1 296 2 297 2 298 0 299 2 300 4 301 3 302 5 303 3 304 3 305 4 306 8 307 3 308 3 309 3 310 2 311 3 312 2 313 3 314 2 315 1 316 2 317 3 318 2 319 2 320 6 321 3 322 2 323 6 324 3 325 4 326 2 327 2 328 1 329 2 330 6 331 5 332 5 333 1 334 1 335 2 336 7 337 0 338 5 339 3 340 5 341 3 342 0 343 1 344 1 345 1 346 5 347 4 348 5 349 2 350 3 351 4 352 3 353 1 354 4 355 2 356 2 357 2 358 2 359 4 360 8 361 1 362 5 363 1 364 3 365 4
Arrivals One Variable Summary Data Set #1 Mean #ADDIN? Variance #ADDIN? Std. Dev. #ADDIN? Median #ADDIN? Minimum #ADDIN? Maximum #ADDIN? Range #ADDIN? Count #ADDIN? 1st Quartile #ADDIN? 3rd Quartile #ADDIN? Interquartile Range #ADDIN? The standard deviation is not a reliable measure in this case. By looking at the historgam, we can see that the data is skewed to the right. As a result, we canot move two standard deviations to the left of the mean. In a normal distribution which has one lump and is symmetric, 68% of the data is contained within one standard deviation of the mean. 95% of the data is contained within two standard deviations of the mean. Here however, the range and quartiles provide better measures of the variability in the data. The range indicates the difference between the minimum and maximum response, and the first and thrid qaurtiles indicate the data points below and above which 25% of the data lie respectively.

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