Question

Find the sample variance and standard deviation.19, 10, 6, 9,8Choose the correct answer below. Fill in the answer box to complete your choice.(Type an integer or a decimal. Round to one decimal place as needed.)

Answer 1

We will have the following:

Sample:

19, 10, 6, 8, 8.

Variance:

`s^2=(\sum ^n_(i=1)(x_i-X)^2)/(n-1)`
`\Rightarrow s^2=(101.2)/(4)\Rightarrow s^2=25.3`

So, the variance is 25.3.

Standard deviation:

`\sigma^2=\sqrt[]{(1)/(n-1)\sum ^n_(i=1)(x_i-X)^2}`

So:

`\sigma^2=\sqrt[]{25.3}\Rightarrow\sigma^2=5.029910536\Rightarrow\sigma\approx5`