Two teams of players compete in a computer game. The scores are as follows:
Team A: 125, 100, 50, 65, 3 000, 90
Team B: 100, 120, 119, 105, 99, 102.
a) Calculate the mean and median scores for each team.
b) Calculate the range, average deviation, variance, and standard deviation for each team.
c) Explain why it would not matter much whether you had calculated the crude or the extended range.
d) Explain why the range is a problematic measure of variability in Team A.
e) Which team shows more variability?
f) Construct a boxplot showing each team’s scores.