In a study of speed​ dating, female subjects were asked to rate the attractiveness of their male​ dates, and a sample of the results is listed below ​(1=not ​attractive; 10=extremely ​attractive). Find the​ range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult​ males?   8 8 2 5 4 1 7 10 7 9 8 8 2   10 8 7 5 3 7 2 1 3 1 1 5 3   The range of the sample data is nothing. ​(Round to one decimal place as​ needed.) The standard deviation of the sample data is nothing. ​(Round to one decimal place as​ needed.) The variance of the sample data is nothing. ​(Round to one decimal place as​ needed.) Can the results be used to describe the variation among attractiveness ratings for the population of adult​ males?     A. It is unlikely that a random sample of adult males can be representative of all adult males.​ Therefore, the results cannot be used to describe the population.   B. The results can be used to describe the population because the sample is random.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a study of speed​ dating, female subjects were asked to rate the attractiveness of their male​ dates, and a sample of the results is listed below
​(1=not
​attractive;
10=extremely
​attractive). Find the​ range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult​ males?
 
8
8
2
5
4
1
7
10
7
9
8
8
2
 
10
8
7
5
3
7
2
1
3
1
1
5
3
 
The range of the sample data is
nothing.
​(Round to one decimal place as​ needed.)
The standard deviation of the sample data is
nothing.
​(Round to one decimal place as​ needed.)
The variance of the sample data is
nothing.
​(Round to one decimal place as​ needed.)
Can the results be used to describe the variation among attractiveness ratings for the population of adult​ males?
 
 
A.
It is unlikely that a random sample of adult males can be representative of all adult males.​ Therefore, the results cannot be used to describe the population.
 
B.
The results can be used to describe the population because the sample is random.
 
C.
Since it is likely that the male subjects volunteered to participate in speed​ dating, they may not be representative of all adult males.​ Therefore, the results cannot be used to describe the population.
 
D.
The results cannot be used to describe the population because a smaller sample would be needed.
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