Question

Variance and standard deviation

Answer 1

Answer: 8.3

Step-by-step explanation:

To find the variance, you want to find the mean of the data.

$\frac{3+3+8+1+9+6}{6} =5$

Now that we have the mean, we find the difference between each data point and the mean.

3-5=-2

3-5=-2

8-5=3

1-5=-4

9-5=4

6-5=1

With the difference, you square each and find the average.

(-2)²=4

(-2)²=4

3²=9

(-4)²=16

4²=16

1²=1

$\frac{4+4+9+16+16+1}{6} =\frac{25}{3}$

The variance is 8.3.