A statistician has collected the following data set representing the number of hours of exercise per week by a sample of 20 adults:
Data: 2, 3, 5, 3, 8, 7, 10, 6, 5, 9, 3, 4, 8, 6, 2, 4, 5, 10, 7, 8
Using this data, we wish to determine the standard deviation of the sample. Recall that the formula for the sample standard deviation $s$ is given by:
$$s =\frac{ ext{sqrt}( ext{sum}((x_i - ar{x})^2))}{n-1}$$
where \(x_i\) represents each data point, \(ar{x}\) is the mean of the data, and \(n\) is the number of data points.