The heights (in inches) of the players on two volleyball teams are given below.
Team 1: 64, 68, 69, 65, 70, 70, 67, 61, 66, 72
Team 2: 70, 67, 71, 68, 61, 64, 66, 73, 68, 63
How do the median heights compare?
The median height of team 1 is 0.1 inch greater than the median height of team 2.
The median height of team 1 is 0.05 inch greater than the median height of team 2.
The median height of team 2 is 2 inches greater than the median height of team 1.
The two teams have the same median height.
To find the median height of each team, we first need to arrange the heights in ascending order:
Team 1: 61, 64, 65, 66, 67, 68, 69, 70, 70, 72
Team 2: 61, 63, 64, 66, 67, 68, 68, 70, 71, 73
Now we can find the middle height for each team:
For team 1, the median height is the average of the two middle heights:
(67 + 68) / 2 = 67.5 inches
For team 2, the median height is the middle height:
68 inches
Therefore, the correct answer is:
The median height of team 1 is 0.5 inch greater than the median height of team 2.