Question

finish times (to the nearest hour) for 57 dogsled teams are shown below. make a dotplot for the data. 261 271 236 244 279 296 284 299 350 288 247 256 308 360 341 333 261 266 287 296 313 311 307 330 299 303 277 283 304 305 350 290 350 289 297 299 332 330 309 328 330 328 285 291 295 298 306 315 310 318 318 318 333 321 323 324 327
dotplot options and
one of these choices\

Explanation:

Step1: Analyze the data range

The data values range from 236 to 360. We need to check the x - axis labels of each dot - plot option. The correct dot - plot should have an x - axis that appropriately represents this range. Also, we need to count the frequency of each data point. For example, let's count the frequency of some key points:

• 261 appears 2 times.
• 299 appears 3 times.
• 350 appears 3 times.
• 318 appears 3 times.

Step2: Check the dot - plot options

Looking at the options, we analyze the placement of dots (frequency representation) and the x - axis scale. The second option (the one with the x - axis labels like 235, 245, 255,...) has incorrect x - axis labeling and dot placement. The fourth option has incorrect dot placement for key frequencies. The first option also has some inconsistencies. The third option (the one with x - axis labels 230, 240, 250,...) has the correct x - axis scale and the dot placement matches the frequency of the data points (e.g., the frequency of 299, 350, 318 is represented correctly, and the overall distribution of dots aligns with the data set). The "none of these choices" is incorrect as the third option (the one with x - axis starting at 230, with appropriate dot placement) is correct. Wait, actually, let's re - evaluate. Wait, the correct way is to count the number of dots for each value:

Let's list the data points and their frequencies:

236: 1

244: 1

247: 1

256: 1

261: 2

266: 1

271: 1

277: 1

279: 1

283: 1

284: 1

285: 1

287: 1

288: 1

289: 1

290: 1

291: 1

295: 1

296: 2

297: 1

298: 1

299: 3

303: 1

304: 1

305: 1

306: 1

307: 1

308: 1

309: 1

310: 1

311: 1

313: 1

315: 1

318: 3

321: 1

323: 1

324: 1

327: 1

328: 2

330: 3

332: 1

333: 2

341: 1

350: 3

360: 1

Now, looking at the dot - plots, the third option (the one with the x - axis marked as 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370) has the correct number of dots for each interval. For example, at 260 - 270, there are 2 (for 261) + 1 (266) = 3? Wait no, 261 is two times, 266 is one time, so total 3 dots? Wait no, 261:2, 266:1, so in the 260 - 270 range, we have 3 dots. Looking at the third option's dot - plot, the number of dots at each interval matches the frequency we calculated. The other options have either incorrect x - axis labels (like the second option with 235, 245 etc. which misaligns the data points) or incorrect dot counts. So the correct dot - plot is the third one (the one with x - axis starting at 230, with the dots placed correctly according to the frequency of each data point).

Answer:

The correct dot - plot is the third option (the one with x - axis labels 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370 and the dot placement matching the data frequencies).