4

Find therange, variance, and standard deviation for the given sampledata, if possible. If the measures of variation can be obtained for thesevalues, do the results makesense?

Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotypecodes, where 1=smooth-yellow, 2=smooth-green, 3=wrinkled yellow, and 4=wrinkled-green.

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Can the range of the sample data be obtained for thesevalues? Choose the correct answer belowand, ifnecessary, fill in the answer box within your choice.

A.

The range of the sample data is

(an integer or a decimal. Do notround.)

B.

The range of the sample data cannot be calculated.

Can the standard deviation of the sample data be obtained for thesevalues? Choose the correct answer belowand, ifnecessary, fill in the answer box within your choice.

A.

The standard deviation of the sample data is

(Round to one decimal place asneeded.)

B.

The standard deviation of the sample data cannot be calculated.

Can the variance of the sample data be obtained for thesevalues? Choose the correct answer belowand, ifnecessary, fill in the answer box within your choice.

A.

The variance of the sample data is

(Round to one decimal place asneeded.)

B.

The variance of the sample data cannot be calculated.

Do the results makesense?

A.

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.

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 befound, they do not make sense because the data arenominal; theydon't measure or count anything.

D.

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