Question

1. the numbers of people waiting in lines at concession stands at a ballpark are: 3, 8, 12, 7, 14, 18, 5, 10. what is the median number of people waiting in lines at the concession stands?

Explanation:

Step1: Order the data

First, we need to order the given numbers from smallest to largest. The numbers are 3, 8, 12, 7, 14, 18, 5, 10. After ordering them, we get: 3, 5, 7, 8, 10, 12, 14, 18.

Step2: Find the median position

The formula to find the position of the median for a set with \( n \) numbers is: if \( n \) is even, the median is the average of the \( \frac{n}{2} \)-th and \( (\frac{n}{2}+1) \)-th terms. Here, \( n = 8 \) (which is even), so \( \frac{n}{2}=4 \) and \( \frac{n}{2}+1 = 5 \).

Step3: Calculate the median

The 4th term in the ordered list is 8 and the 5th term is 10. The median is the average of these two terms, so we calculate \( \frac{8 + 10}{2} \).
\( \frac{8+10}{2}=\frac{18}{2}=9 \)

Answer:

9