Question

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.

Answer 1

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.