Question

During Marta's last youth league soccer game, the starting players for each team had varied heights. The following is a list of their heights in inches. 61, 59, 64, 67, 60, 63, 60, 58, 63, 58, 64, 65, 60, 64, 63, 59, 65, 58, 66, 59, 63, 56

What is the median height for a starting player on the two teams?
A. 59 inches
B. 61 inches
C. 62 inches
D. 63 inches

Answer 1

The median height for the soccer players is found by ordering the heights and averaging the middle two values. There are 22 heights given, and the 11th and 12th values are both 63 inches. Therefore, the median height is 63 inches, corresponding to option D.

Step-by-step explanation:

To determine the median height for a starting player on the two soccer teams, we need to organize the given heights in ascending order and find the middle value(s). If there is an odd number of observations, the median is the middle number. If there is an even number of observations, the median is the average of the two middle numbers.

Here are the ordered heights: 56, 58, 58, 58, 59, 59, 59, 60, 60, 60, 61, 63, 63, 63, 63, 64, 64, 64, 65, 65, 66, 67.

We have 22 observations, so the median will be the average of the 11th and 12th values. The 11th and 12th values are both 63. Therefore, the median height is 63 inches.

The correct answer is: D. 63 inches