Ethan and Drew went on a​ 10-day fishing trip. The number of smallmouth bass caught and released by the two boys each day is shown in the accompanying data table. Complete the below.   Data Table                         Ethan 9 24 8 9 6 8 9 9 8 10   Drew 15 2 3 17 20 2 17 2 19 3           Which fisherman seems more​ consistent?  Choose answer below   A. Ethan seems more​ consistent, since his observations are spread out.   B. Drew seems more​ consistent, since his observations are spread out.   C. Drew seems more​ consistent, since more of his observations are clustered together.   D. Ethan seems more​ consistent, since more of his observations are clustered together.     ​(c) Find the population standard deviation for the number of smallmouth bass caught per day by each fisherman. Do these values present a different story about the two​ fishermen's catches per​ day? Which fisherman has the more consistent​ record?   The population standard deviation for the number of smallmouth bass caught per day by Ethan is _______. ​(Round to one decimal place as​ needed.)   The population standard deviation for the number of smallmouth bass caught per day by Drew is _________g. ​(Round to one decimal place as​ needed.)   Do these values present a different story about the two​ fishermen's catches per​ day?   ▼   Yes, No, since the fishermen have ▼   different similar population means and ranges while having ▼   different similar population standard deviations. Which fisherman has the more consistent​ record?     A. Ethan has the more consistent​ record, since his standard deviation is higher.   B. Drew has the more consistent​ record, since his standard deviation is lower.   C. Drew has the more consistent​ record, since his standard deviation is higher.   D. Ethan has the more consistent​ record, since his standard deviation is lower.   E. Both fishermen have about the same consistency. ​(d) Discuss limitations of the range as a measure of dispersion.     A. The range only takes into account the smallest and largest​ values, which does not provide any information about the dispersion of the distribution between those values.   B. The range does not take into account any​ outliers, which makes it​ non-resistant.   C. The range only takes into account the first and last​ values, which does not provide any information about the dispersion of the distribution between those values.   D. The range takes into account all of the data​ values, which makes calculating the range very complicated.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Ethan and Drew went on a​ 10-day fishing trip. The number of smallmouth bass caught and released by the two boys each day is shown in the accompanying data table. Complete the below.
 
Data Table
 
 
 
 
 
 
 
 
 
 
 
 
Ethan
9
24
8
9
6
8
9
9
8
10
 
Drew
15
2
3
17
20
2
17
2
19
3
 
 
 
 
 
Which fisherman seems more​ consistent?  Choose answer below
 
A.
Ethan seems more​ consistent, since his observations are spread out.
 
B.
Drew seems more​ consistent, since his observations are spread out.
 
C.
Drew seems more​ consistent, since more of his observations are clustered together.
 
D.
Ethan seems more​ consistent, since more of his observations are clustered together.
 
 
​(c) Find the population standard deviation for the number of smallmouth bass caught per day by each fisherman. Do these values present a different story about the two​ fishermen's catches per​ day? Which fisherman has the more consistent​ record?
 
The population standard deviation for the number of smallmouth bass caught per day by Ethan is _______.
​(Round to one decimal place as​ needed.)
 
The population standard deviation for the number of smallmouth bass caught per day by Drew is _________g.
​(Round to one decimal place as​ needed.)
 
Do these values present a different story about the two​ fishermen's catches per​ day?
 
 
Yes,
No,
since the fishermen have
 
different
similar
population means and ranges while having
 
different
similar
population standard deviations.
Which fisherman has the more consistent​ record?
 
 
A.
Ethan has the more consistent​ record, since his standard deviation is higher.
 
B.
Drew has the more consistent​ record, since his standard deviation is lower.
 
C.
Drew has the more consistent​ record, since his standard deviation is higher.
 
D.
Ethan has the more consistent​ record, since his standard deviation is lower.
 
E.
Both fishermen have about the same consistency.
​(d) Discuss limitations of the range as a measure of dispersion.
 
 
A.
The range only takes into account the smallest and largest​ values, which does not provide any information about the dispersion of the distribution between those values.
 
B.
The range does not take into account any​ outliers, which makes it​ non-resistant.
 
C.
The range only takes into account the first and last​ values, which does not provide any information about the dispersion of the distribution between those values.
 
D.
The range takes into account all of the data​ values, which makes calculating the range very complicated.
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