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 = smooth - yellow, 2 = smooth - green, 3 = wrinkled yellow, and 4 = wrinkled - green.
2 1 3 1 4 3 3 3 2 2 2 2 2 2 2 2 2 1 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.

Explanation:

Step1: Find the maximum and minimum values

The given data set is \(2,1,3,1,4,3,3,3,2,2,2,2,2,2,2,2,1,2,2,2\).
The maximum value \(M = 4\).
The minimum value \(m=1\).

Step2: Calculate the range

The formula for the range \(R\) of a data set is \(R = M - m\).
Substitute \(M = 4\) and \(m = 1\) into the formula: \(R=4 - 1\).

Answer:

A. The range of the sample data is \(3\)