Find the variance for the given data. Round your answer to one more decimal place than the original data. 18, 20, 18, 2, 7

The mean of the given data is (18 + 20 + 18 + 2 + 7)/5 =
13

To calculate the variance we need to find the difference
between each term of the data, find the square of the value and then determine the
average of the squares.

18 - 13 = 5 , 20 - 13 = 7, 18 - 13
= 5, 2 - 13 = -11 and 7 - 13 = -6.

The average of the
square is:

(5^2 + 7^2 + 5^2 + 11^2 +
6^2)/5

=> (25 + 49 + 25 + 121 +
36)/5

=>
51.2

The required variance is
51.2