Question

ty and gaige are both football players who averaged 4 yards per run in yesterdays football game. the statistics from that game are shown in the table below.

player name	ty	gaige
-	-	-
# of carries	15	10
average yards gained per run	4.0	4.0
longest run (yards)	6	19
shortest run (yards)	2	2

which statement best describes the data?
o the lengths of tys runs have greater variability because ty had more rushing attempts.
o the lengths of gaiges runs have greater variability because there is a greater difference between his longest and shortest run.
o tys and gaiges runs have the same variability because they both had the same average 4.0 yards per carry.
o tys and gaiges runs have the same variability because they both had the same length shortest run.

Explanation:

Step1: Understand variability concept

Variability measures how spread - out data is.

Step2: Analyze the data

Ty had 15 carries and a longest run of 6 yards and shortest of 2 yards. Gaige had 10 carries, longest run of 19 yards and shortest of 2 yards. The difference between longest and shortest run for Ty is \(6 - 2=4\) yards. The difference for Gaige is \(19 - 2 = 17\) yards. A greater difference between the longest and shortest values indicates greater variability.

Answer:

The lengths of Gaige’s runs have greater variability because there is a greater difference between his longest and shortest run.