Variance Calculation of Test Scores

A statistical analysis is performed on the test scores of a class of 30 students after a rigorous exam. The students' scores are as follows: 45, 67, 53, 72, 88, 90, 76, 61, 82, 58, 72, 73, 84, 65, 70, 55, 67, 89, 92, 77, 85, 53, 61, 78, 74, 80, 88, 95, 100, 89.

Calculate the variance of these scores. Round your answer to two decimal places. You will need to first find the mean score, then use it to calculate the variance using the formula:

$$ \text{Variance} = \f\frac{\sum{(x_i - \mu)^2}}{n} $$

where $x_i$ represents each score, $\mu$ is the mean of the scores, and $n$ is the number of scores.