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In Exercises, use the same list of 24 sorted | Ch 3.4 - 22BSC

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

Solution for problem 22BSC 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 22BSC

Problem 22BSC

 

In Exercises, use the same list of 24 sorted Old Faithful eruption duration times given for Exercises. Find the indicated percentih or quartih.

Q1

Step-by-Step Solution:

Answer:

Step 1 of 1

The first quartile is the point at which one fourth of the data lies below it, One fourth is equal to 25%, and so the first quartile is the 25th percentile. It is denoted by

1

110

2

120

3

178

4

213

5

234

6

234

7

235

8

237

9

240

10

243

11

245

12

245

13

250

14

250

15

251

16

252

17

254

18

255

19

255

20

259

21

260

22

266

23

269

24

273

      =

      = 6.25

Here, 6.25th observation lies in between 6th and 7th value in the ordered group.

Now, 6th value = 234

          7th value = 235

Thus, = 6th value + 0.25(7th value - 6th value)

                = 234 + 0.25(235 - 234)

                = 234 + 0.25

                = 234.25 sec.

Step 2 of 1

Chapter 3.4, Problem 22BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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In Exercises, use the same list of 24 sorted | Ch 3.4 - 22BSC