Find the range, variance, and standard deviation for the given sample data, if possible. 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.

1

1

2

1

3

2

4

3

2

2

2

3

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

(Type an integer or a decimal. Do not round.)

B.

The range of the sample data cannot be calculated.

Part 2Can 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

(Round to one decimal place as needed.)

Your answer is not correct.

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

(Round to one decimal place as needed.)

Your answer is not correct.

B.

The variance of the sample data cannot be calculated.

Part 4Do the results make sense?

A.

The measures of variation make sense because the data is numeric, so the spread between the values is meaningful.

B.

The measures of variation do not make sense because the standard deviation cannot be greater than the variance.

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.