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

B

Explanation:

The formula for standard deviation is:

St. Dev =
`\sqrt{(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=(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{(25+4+1+1+49)/(5)} \\=\sqrt{(80)/(5)} \\=√(16) \\=4`

Answer choice B is right.