Question

Really need some statistic help!!
use the following set of scores: 82, 60, 78, 81, 65, 72, 72, 78. What is the variance? Round to the nearest hundredth. And what is the standard deviation? Round to the nearest hundredth.

Answer 1

The variance is given by the following formula:
\[\sum_{\text{all }y\text{'s}}\frac{(y-\overline{y})^2}{n}\]
where \(y\) is a given data point, \(\overline{y}\) is the sample mean, and \(n\) is the number of data points.

First, find the mean \(\overline{y}\), then the variance, using the summation above.Then, the standard deviation is given by the square root of the variance.