A back-to-back stem-and-leaf plot showing the points scored by each player on two different basketball teams is shown below.
A back-to-back stem-and-leaf plot is shown.• The title of the back-to-back stem-and-leaf plot is 'Points Scored in a Game.'
• A key at the bottom of the stem-and-leaf plot reads '4 vertical line 0 vertical line 2 means 4 points for Team 1, 2 points for Team 2.'
• The stem-and-leaf plot has 3 columns. In the first row are the titles 'Team 1' in the first column and 'Team 2' in the third column.
• In the second row, column 1 are the numbers 4 and 3. In column 2 is the number 0. In column 3 are the numbers 4 and 9.
• In the third row, column 1 are the numbers 9, 8, 2, and 0. In the second column is the number 1. In the third column are the numbers 0, 1, and 7.
• In the fourth row, column 1 are the numbers 6 and 1. In column 2 is the number 2. In column 3 are the numbers 3, 3, and 8.
What is the median number of points scored for each team?
A. Median for Team 1: 15
Median for Team 2: 11
B. Median for Team 1: 12
Median for Team 2: 11
C. Median for Team 1: 18
Median for Team 2: 17
D. Median for Team 1: 15
Median for Team 2: 14
A. Median for Team 1: 15 Median for Team 2: 11
To find the median, we need to arrange the data in order from least to greatest. Then we find the middle value.
Team 1: 0, 1, 2, 3, 4, 4, 6, 8, 9
The middle value is the average of the two middle numbers, which are 4 and 6. So the median for Team 1 is (4+6)/2 = 5.
Team 2: 0, 1, 2, 3, 3, 4, 7, 8, 9
The middle value is 4. So the median for Team 2 is 4.
Therefore, the correct answer is A. Median for Team 1: 15 and Median for Team 2: 11.