Normal
The table below shows the heights of players on a high school's football and basketball teams.
Football Team Basketball Team
72" 78"
80" 79"
74" 79"
76" 80"
76" 76"
79" 77"
78" 77"
73" 76"
79" 77"
68" 74"
70" 74"
What is the mean height for both teams and the mean difference? Round to the nearest inch, if necessary.
A.
Football Team Mean: 75"
Basketball Team Mean: 77"
Difference: 2"
B.
Football Team Mean: 77"
Basketball Team Mean: 75"
Difference: 2"
C.
Football Team Mean: 76"
Basketball Team Mean: 77"
Difference: 1"
D.
Football Team Mean: 80"
Basketball Team Mean: 80"
Difference: 0"
To find the mean height of each team, we need to add up all the heights and divide by the number of players on each team.
For the football team:
(72 + 80 + 74 + 76 + 76 + 79 + 78 + 73 + 79 + 68 + 70) / 11 = 75.36 inches, which rounds to 75 inches.
For the basketball team:
(78 + 79 + 79 + 80 + 76 + 77 + 77 + 76 + 77 + 74 + 74) / 11 = 77.09 inches, which rounds to 77 inches.
The mean difference in height between the two teams is simply the absolute value of the difference between the means: |77 - 75| = 2 inches.
Therefore, the answer is A. Football Team Mean: 75", Basketball Team Mean: 77", Difference: 2".