In: Statistics and Probability
How long does it take to finish the 1161-mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska? Finish times (to the nearest hour) for 57 dogsled teams are shown below.
261 | 271 | 236 | 244 | 279 | 296 | 284 | 299 | 288 |
288 | 247 | 256 | 338 | 360 | 341 | 333 | 261 | 266 |
287 | 296 | 313 | 311 | 307 | 307 | 299 | 303 | 277 |
283 | 304 | 305 | 288 | 290 | 288 | 289 | 297 | 299 |
332 | 330 | 309 | 328 | 307 | 328 | 285 | 291 | 295 |
298 | 306 | 315 | 310 | 318 | 318 | 320 | 333 | 321 |
323 | 324 | 327 |
(a) Find the class width.
(b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.)
(c) Draw a histogram.
(d) Draw a relative-frequency histogram.
(e) Categorize the basic distribution shape.
(f) Draw an ogive. (Graph each point and the closed line segments connecting the points to create your graph.)