Adistrict manager rewards sales teams based on overall sales generated in a month. the data for earnings are shown in the table, where low represents the lowest sales and high represents the highest sales generated by a single sales team member.
team low high range mean median iqr σ
team x 1970 2970 1200 2571.9 2684 426.3 313.8
team y 250 375 125 315.8 311 59 37.8
team z 950 1900 950 1529.9 1473 276 180.7
part a: if the manager wants to award the sales team that has the most consistent earnings among its team members, which team should it choose and why? justify your answer mathematically. (5 points)
part b: if the manager wants to award the sales team with the highest average earnings, which team should it choose and why? justify your answer mathematically. (5 points)