Solution: The correct option is d. 8.75
Explanation:
The formula for variance is:
[tex]Variance =\frac{\sum(x-\bar{x})^{2}}{n}[/tex]
First we need to find the mean [tex]\bar{x}[/tex] of the given data:
[tex]\bar{x}=\frac{2+4+6+0+1+10+9+0+6+3+6+8+5+4+6+2}{16}=\frac{72}{16} =4.5[/tex]
Now let's find [tex]\sum(x-\bar{x})^{2}[/tex], please have a look at the attached picture:
[tex]\therefore Variance = \frac{140}{16}=8.75[/tex]
