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

1equals=​smooth-yellow,

2equals=​smooth-green,

3equals=wrinkled

​yellow, and

4equals=​wrinkled-green.

1 1 2 2 4 1 3 1 2 2 2 1 1 2 2 2 1 2 2 2

Can the range of the sample data be obtained in these values?

The RANGE OF THE SAMPLE DATA IS OR THE RANGE CANNOT BE CALCULATED

​

Answer 1

Correct option:

THE RANGE CANNOT BE CALCULATED

​Explanation:
It is noted the data: the phenotype​ codes are qualitative data. Since qualitative data represent individual categories, mean,median and measurs of dispersion:   like the​ range, variance, and standard deviation are meaningless. Olymode can be calculated for qualitative data.