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Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.4 - Problem 22bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.4 - Problem 22bsc

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

ISBN: 9780321836960 18

## Solution for problem 22BSC Chapter 3.4

Elementary Statistics | 12th Edition

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Problem 22BSC

Statistical Literacy and Critical Thinking

In Exercises 21–28, use the same list of 24 sorted Old Faithful eruption duration times given for Exercises 17–20. Find the indicated

percentile or quartile.

Q 1

Step-by-Step Solution:

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

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