Question
Make a dotplot for the data in Problem 15 regarding the finish time (number of hours) for the Iditarod Dog Sled Race. Compare the dotplot to the histogram of Problem $15 .$
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The smallest value is 236 and the largest is 333. Show more…
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Make a dotplot for the data in Problem 15 regarding the finish time (number of hours) for the Iditarod Dog Sled Race. Compare the dotplot to the histogram of Problem 15 .
Organizing Data
Frequency Distributions, Histograms, and Related Topics
Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of classes: 8 Data set: Finishing times (in seconds) of all male participants ages 25 to 29 in a $5 \mathrm{K}$ race $$\begin{aligned} &\begin{array}{llllll}1595 & 1472 & 1820 & 1580 & 1804 & 1635 \\1959 & 2020 & 1480 & 1250 & 2083 & 1522 \\1306 & 1572 & 1778 & 2296 & 1445 & 1716\end{array}\\&1618 \quad 1824\end{aligned}$$
Descriptive Statistics
Frequency Distributions and Their Graphs
For Problems $15-20$, use the specified number of classes to do the following. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (c) Draw a histogram. (d) Draw a relative-frequency histogram. (e) Categorize the basic distribution shape as uniform, mound-shaped symmetric, bimodal, skewed left, or skewed right. (f) Draw an ogive. (g) Interpretation Discuss some of the features about the data that the graphs reveal. Consider items such as data range, location of the middle half of the data, unusual values, outliers, etc. Dog Sled Racing How long does it take to finish the 1161 -mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska (see Viewpoint)? Finish times (to the nearest hour) for 57 dogsled teams are shown below. $$ \begin{array}{llllllllllll} 261 & 271 & 236 & 244 & 279 & 296 & 284 & 299 & 288 & 288 & 247 & 256 \\ 338 & 360 & 341 & 333 & 261 & 266 & 287 & 296 & 313 & 311 & 307 & 307 \\ 299 & 303 & 277 & 283 & 304 & 305 & 288 & 290 & 288 & 289 & 297 & 299 \\ 332 & 330 & 309 & 328 & 307 & 328 & 285 & 291 & 295 & 298 & 306 & 315 \\ 310 & 318 & 318 & 320 & 333 & 321 & 323 & 324 & 327 & & & \end{array} $$ Use five classes.
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