Determine the sample standard deviation for the data in Problems 4.1 and 4.2by using (a) the deviations formula and (b) the alternative computational formula, and demonstrate that the answers are...

Determine the sample standard deviation for the data in Problems 4.1 and 4.2by using (a) the deviations formula and (b) the alternative computational formula, and demonstrate that the answers are equivalent.

Problem 4.1

For a sample of 15 students at an elementary school snack bar, the following sales amounts, arranged in ascending order of magnitude, are observed: $0.10, 0.10, 0.25, 0.25, 0.25, 0.35, 0.40, 0.53, 0.90, 1.25, 1.35, 2.45, 2.71, 3.09, 4.10.