Answer:

2.4

Step-by-step explanation:

Step 1: Find the mean.

The mean (or average) of the data set is found by adding all the numbers in the data set and subtracting by the number of numbers, as shown below.

[tex]\frac{9+8+9+5+9}{5}=\frac{40}{5}=8[/tex]

Step 2: Find the standard deviation.

Find the standard deviation by subtracting the mean from each of the numbers in the data set and squaring the result:

[tex](9-8)^{2}+(8-8)^{2}+(9-8)^{2}+(5-8)^{2}+(9-8)^{2}[/tex]

[tex]1+0+1+9+1 = 12[/tex]

Step 3: Find the variance.

Divide the standard deviaton by the number of numbers to get the variance.

Variance =  [tex]\frac{12}{5}[/tex] OR 2.4

Hope this helps!