Question

Find the variance of the given

data rounded to the nearest
hundredth.
3, 4, 5, 7, 10, 12, 15
Σ (x - mean)²
n
0²
0²
=
=
[?]
Enter

Answer 1

17.14

Explanation:

You have the data values {3, 4, 5, 7, 10, 12, 15}

To find the mean,
`(3+4+5+7+10+12+15)/(7) =8`, yay a whole number, my favorite.

Then,
`(3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2=120`.

Since n=7, σ^2≈
`17.14`