Question

Compute the standard deviation for the set of data.

2, 5, 6, 8, 14
a.
16
c.
80
b.
4
d.
2

Answer 1

B.4 because i used the formula to compute it

Answer 2

Answer:

B

Step-by-step explanation:

The formula for standard deviation is:

St. Dev = $\sqrt{\frac{SUM(x-\mu)^{2}}{n}}$

This means "we subtract the mean, $\mu$, from each value given in the data set and square the result. Then SUM each of them. Then divide by total number of numbers, $n$. Then take the square root of the total."

Finding mean, $\mu$, first:

$\mu=\frac{2+5+6+8+14}{5}=7$

Now calculating St. Dev.:

$\sqrt{\frac{(2-7)^{2}+(5-7)^{2}+(6-7)^{2}+(8-7)^{2+(14-7)^{2}}}{5}} \\=\sqrt{\frac{25+4+1+1+49}{5}} \\=\sqrt{\frac{80}{5}} \\=\sqrt{16} \\=4$

Answer choice B is right.