Answer:
The correct option is A.
Step-by-step explanation:
The formula for mean is
[tex]Mean=\frac{\sum{x}}{n}[/tex]
The population data set is:
4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, 12
The population mean is
[tex]\text{Population Mean}=\frac{4+6+7+11+12+18+26+23+14+31+22+12}{12}[/tex]
[tex]\text{Population Mean}=\frac{186}{12}[/tex]
[tex]\text{Population Mean}=15.5[/tex]
The sample data set is
11, 31, 22, 12
[tex]\text{Sample Mean}=\frac{11+31+22+12}{4}[/tex]
[tex]\text{Sample Mean}=\frac{76}{4}[/tex]
[tex]\text{Sample Mean}=19[/tex]
Difference between population mean and sample mean is
[tex]19-15.5=3.5[/tex]
The sample mean is more than the population mean by 3.5.
Therefore the correct option is A.
