A back-to-back stem-and-leaf plot showing the points scored by each player on two different basketball teams is shown below.
Points Scored in a Game
Team 1
Team 2
6 1
03 7
8 4
2 1 4 689 3 2 257
9 6
Key: 4 | 0 | 2 means 4 points for Team 1 2 points for Team 2
What is the median number of points scored for each team?
O Median for Team 1: 14
Median for Team 2: 16
O Median for Team 1: 16
Median for Team 2: 17
O Median for Team 1: 16
Median for Team 2: 16
O Median for Team 1: 18
Median for Team 2: 18
Median for Team 1: 16
Median for Team 2: 17
To find the median for each team, we first need to put the data in order. For Team 1, the data is:
2, 3, 4, 4, 6, 8
The median is the middle number, which is 4.
For Team 2, the data is:
0, 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9
The median is the average of the two middle numbers since there are an even number of data points. The two middle numbers are 6 and 7, so the median is (6+7)/2 = 6.5, which we can round up to 7.
Therefore, the answer is:
Median for Team 1: 16
Median for Team 2: 17