The given information can be summarized as follows:
Team: Cleveland Cavaliers
Height (in inches): 73, 75, 77, 79, 81
Range: 81 - 73 = 8
IQR: Q3 - Q1 = 81 - 75 = 6
Median: 79
Team: LA Clippers
Height (in inches): 76, 80, 83, 85
Range: 85 - 76 = 9
IQR: Q3 - Q1 = 85 - 80 = 5
Median: 81.5 (average of 80 and 83)
Using this information, we can evaluate the given statements:
#1: The LA Clippers have a greater variability of heights than the Cleveland Cavaliers.
This statement is true. The range of the LA Clippers' heights (9) is greater than the range of the Cleveland Cavaliers' heights (8).
#2: The shortest team member is 76 inches.
This statement is true. The LA Clippers have a player with a height of 76 inches, which is shorter than any player on the Cleveland Cavaliers.
#3: The second quartile of the LA Clippers is equal to the second quartile of the Cleveland Cavaliers.
This statement is false. The second quartile (or median) of the LA Clippers (81.5) is higher than the second quartile (or median) of the Cleveland Cavaliers (79).
#4: The median of the LA Clippers is approximately 80 inches.
This statement is true. The median of the LA Clippers is 81.5, which rounds to approximately 80 inches.