Find the​ range, variance, and standard deviation for the given sample​ data, if possible. If the measures of variation can be obtained for these​ values, do the results make​ sense?

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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Find the​ range, variance, and standard deviation for the given sample​ data, if possible. If the measures of variation can be obtained for these​ values, do the results make​ sense?
 
Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype​ codes, where
1=​smooth-yellow,
2=​smooth-green,
3=wrinkled
​yellow, and
4=​wrinkled-green.
 
2    
2    
4    
2    
4    
3    
3    
2    
2    
2    
2    
3    
2    
2    
2    
2    
2    
2    
2    
2
Do the results make​ sense?choose below
 
A.
The measures of variation make sense because the data is​ numeric, so the spread between the values is meaningful.
 
B.
It makes sense that the measures of variation cannot be calculated because there is not a large enough sample size to calculate the measures of variation.
 
C.
While the measures of variation can be​ found, they do not make sense because the data are​ nominal; they​ don't measure or count anything.
 
D.
The measures of variation do not make sense because the standard deviation cannot be greater than the variance.
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