In a certain town, 22% of voters favor a given ballot measure. for groups of 21 voters, find the variance for the number who favor the measure.
a. 1.9
b. 13
c. 4.6
d. 3.6

Respuesta :

c. 4.6
       
21 X .22= 4.6
       
Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

The correct option is c) 4.6.

Step-by-step explanation:

Given :

22% of voters favor a given ballot measure for groups of 21 voters.

Solution :

Variance refers to a statistical measurement of the spread between numbers in a data set.

The variance for the number who favor the measure = [tex]21 \times .22[/tex] = 4.6

Therefore, the correct option is c) 4.6.

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