A back-to-back stem-and-leaf plot showing the points scored by each player on two different basketball teams is shown below.

Question

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 6 and 1. In column 2 is the number 0. In column 3 are the numbers 3 and 7.
• In the third row, column 1 are the numbers 8, 4, and 2. In the second column is the number 1. In the third column are the numbers 4, 6, 8, and 9.
• In the fourth row, column 1 are the numbers 9, 6, and 3. In column 2 is the number 2. In column 3 are the numbers 5 and 7.

What is the median number of points scored for each team?
A. Median for Team 1: 14
Median for Team 2: 16
B. Median for Team 1: 16
Median for Team 2: 17
C. Median for Team 1: 16
Median for Team 2: 16
D. Median for Team 1: 18
Median for Team 2: 18

Answer 1

The median is the middle value when the data is arranged in order. For Team 1, the ordered list of points scored is: 14, 16, 16, 16, 18, 18, 18, 19, 19, 20, 22, 23, 24, 24, 26, 27. The middle value is the average of the two that are in the middle, which is 18. For Team 2, the ordered list of points scored is: 13, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 19, 20, 21, 23. The middle value is also 16. Therefore, the correct answer is C. Median for Team 1: 16, Median for Team 2: 16.