B
Step-by-step explanation:
The formula for standard deviation is:
St. Dev = ![\sqrt{\frac{SUM(x-\mu)^{2}}{n}}](/tpl/images/0399/3712/131f8.png)
This means "we subtract the mean,
, from each value given in the data set and square the result. Then SUM each of them. Then divide by total number of numbers,
. Then take the square root of the total."
Finding mean,
, first:
![\mu=\frac{2+5+6+8+14}{5}=7](/tpl/images/0399/3712/6434a.png)
Now calculating St. Dev.:
![\sqrt{\frac{(2-7)^{2}+(5-7)^{2}+(6-7)^{2}+(8-7)^{2+(14-7)^{2}}}{5}} \\=\sqrt{\frac{25+4+1+1+49}{5}} \\=\sqrt{\frac{80}{5}} \\=\sqrt{16} \\=4](/tpl/images/0399/3712/fd25c.png)
Answer choice B is right.