Answer:
[tex]Mean = 3.52[/tex]
Step-by-step explanation:
Given
[tex]Sample\ Size = 16[/tex]
[tex]Proportion = 22\%[/tex]
Required
Determine the mean of the proportion
The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;
[tex]Mean = n *p[/tex]
Where
[tex]n = 16[/tex] -- Sample Size
[tex]p = 22\%[/tex] -- Proportion
So:
[tex]Mean = n *p[/tex] becomes
[tex]Mean = 16 * 22\%[/tex]
Convert 22% to decimal
[tex]Mean = 16 * 0.22[/tex]
[tex]Mean = 3.52[/tex]
Hence, the mean is 3.52