The 15 most populous states in the United States have an average population of 141.51 million, with a standard deviation of 87.49 million. Virginia and Washington have populations of 83.83 million and 71.70 million, respectively. Texas and Pennsylvania have z-scores of 1.52 and −0.15, respectively. Part A: List these four states in order from smallest to largest populations.
Part B: Explain your reasoning mathematically and be sure to include all necessary calculations.