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Solved: Percentiles. In Exercises, use the following

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 17BSC Chapter 3.4

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 17BSC

Percentiles. In Exercises 17–20, use the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest. Find the percentile corresponding to the given time.

213 sec

Step-by-Step Solution:
Step 1 of 3

Problem 17BSC

Answer:

Step1 of 3:

We have the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest.

  x

110

120

178

213

234

234

235

237

240

243

245

245

250

250

251

252

254

255

255

259

260

266

269

273

Step2 of 3:

We need to Find the percentile corresponding to the given time. 213 sec.

Step3 of 3:

The given data in ascending order

  x

110

120

178

213

234

234

235

237

240

243

245

245

250

250

251

252

254

255

255

259

260

266

269

273

The percentile for 213 sec. is

                                                                                                          =

                                                                                                          = 12.5

                                                                                                          13

Thus the percentile is the 13th percentile.

 

Step 2 of 3

Chapter 3.4, Problem 17BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Solved: Percentiles. In Exercises, use the following