PSY 240 Homework 2 1. Travis Kelce is a wide receiver on the Kansas City Chiefs. His number of receiving yards per game for each of the 15 games he played (treat this as a population) during the 2020 regular season are listed below. Calculate Travis's average and standard deviation. You must show all your work. 50, 90, 87, 70, 108, 65, 31, 109, 159, 127, 82, 136, 136, 68, 98 2. Stefon Diggs is a wide receiver on the Buffalo Bills The following data represent the total number of receiving yards that he gained for the entire 2020 regular season (16 games; treat this as a population). 86, 153, 49, 115, 106, 46, 48, 92, 118, 93, 39, 92, 130, 147, 145, 76 a. Calculate the range, interquartile range, variance, and standard deviation. (Hint: Because the receiving yard numbers are non-sequential, you need to average adjacent numbers to get the Q1 and Q3.) You must show all your work. b. Based on the data, which measure of variability do you think is the best? Why? c. Comparing the data of Travis Kelce and Stefon Diggs, which football player has a more consistent pattern of receiving yards? How do you know? 3. Using z-scores, determine whether it would be more impressive for Travis Kelce or Stefon Diggs to gain 150 receiving yards in a game (based on their stats) and explain your reasoning. You must show all your work