1) Who is a more consistent running back: Adrian Peterson or Michael Turner? The following data shows the number of yards gained for each running back during the 2008 regular season. Rushing 220 42 104 56 121 54 58 139 96 81 117 120 1 152 70 208 Yards Turner Rushing 103 160 77 80 32 111 139 192 85 0 131 105 165 76 103 Yards Peterson a) Calculate the standard deviation for Michael Turner: Interpret this value: b) Calculate the range and IQR for Michael Turner. Show work. c) Calculate the standard deviation for Adrian Peterson: Interpret this value: d) Calculate the range and IQR for Adrian Peterson. Show work. e) Based on your results for parts a-d, who is the more consistent running back in the NFL. Explain. 2) Create a set of five numbers that have a standard deviation of 0. 3) Create two sets of five numbers that have the same mean and different standard deviations. 4) Create two sets of five numbers that have different means and the same standard deviations.5) The table below gives the points scored for all the regular season games for Michigan State and Michigan's football teams for the 2019 season. MSU Put in 28 51 31 40 10 0 34 10 27 19 Points Scored L1 U of M Put in 40 24 14 52 10 42 21 45 38 44 39 27 Points Scored L2 a) Calculate the mean points scored for each team. (Use two separate lists to help with what comes below!) b) Calculate the standard deviation for Michigan State: Interpret this value: c) Calculate the standard deviation for Michigan: Interpret this value: a) Based on your results in parts b and c, which team is the more consistent team? Explain. e) If we added 3 points to each of the games for Michigan (L2), how would this affect the mean? How would it affect the standard deviation? (Test if you need to!) f) Multiply each of Michigan State's data values (Ll) by two. Calculate the new mean and standard deviation. g) Compare your values in letter (f) to your original values for Michigan State in (a) and (b) above. If we multiply a data set by a constant value, create a general rule for the affect this has on the mean and standard deviation using your comparison to help. Setting the stage for Topic 2... h) Michigan State played in the Pinstripe Bowl (we were just excited to be in any bowl game after that season) and scored 27 points. How would this additional game affect the mean? ... the standard deviation? (Test if you need to!)