50 points
a sports club rewards teams based on overall points earned in a season. the data for points are shown in the table, where low represents the fewest points scored and high represents the highest points scored by a single team member.

team low high range mean median iqr σ
team a 22 58 36 42.1 44 18.25 10.35
team b 38 49 11 43.9 44.5 3.5 2.97
team c 27 36 9 31.8 32 3.75 2.55

part a: if the club wants to award the team that has the most consistent scoring among its team members, which team should it choose and why? justify your answer mathematically. (5 points)

part b: if the club wants to award the team with the highest average score, which team should it choose and why? justify your answer mathematically. (5 points)

Klmn and pqrs are similar trapezoids. which side of pqrs corresponds to lm

1/2+1/6-3/4 simplify the given expression leaving the answer in improper fraction form.

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to