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 190 2280 2090 1005.9 921.5 841.75 542.7 team y 745 1820 1075 1165.5 1147.5 447 262.1 team z 950 2275 1325 1906.6 2015.5 362.3 283.6 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)
have been here for 2 hours and still cant figure it out.

team                           low                   high                 range               mean           median           iqr                   σ

team x                     190                   2280                 2090                   1005.9         921.5             841.75       542.7

team y                     745                   1820                 1075                   1165.5     1147.5             447                 262.1

team z                     950                   2275                 1325                   1906.6     2015.5             362.3           283.6

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.

team y has the most consistent earnings among the team members.

i considered the mean, median, and iqr of team y.

median is in the 50% of the data. iqr is the difference between the 75% and 25% of the quartiles. the value of the mean is above the value of the median. the mean is w/in the 50%-75% of the quartile.

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.

team z has the highest average earnings. average refers to the mean of the group. among the three, team z has the highest mean value which is 1906.60