Find the range, variance, and standard deviation for the given sample data, if p
ID: 3069128 • Letter: F
Question
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 equals =smooth-yellow, 2 equals =smooth-green, 3 equals =wrinkled yellow, and 4 equals =wrinkled-green. 1,2, ,3, 2,4,3,3,1,2,2,2,2,2,2,2,2,2,2,2, 2
Can the range of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice.
A.
The range of the sample data is
nothing .
(Type an integer or a decimal. Do not round.)
B.
The range of the sample data cannot be calculated.
Can the standard deviation of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice.
A.
The standard deviation of the sample data is
nothing .
(Round to one decimal place as needed.)
B.
The standard deviation of the sample data cannot be calculated.
Can the variance of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice.
A.
The variance of the sample data is
nothing .
(Round to one decimal place as needed.)
B.
The variance of the sample data cannot be calculated.
Do the results make sense?
A.
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.
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.
The measures of variation do not make sense because the standard deviation cannot be greater than the variance.
D.
The measures of variation make sense because the data is numeric, so the spread between the values is meaningful.
Explanation / Answer
The statistical software output for this problem is:
Summary statistics:
Hence,
Range = 3
Standard deviation = 0.6
Variance = 0.4
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. Option A is correct.
Column Range Std. dev. Variance Data 3 0.63593377 0.40441176Related Questions
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