Question

five adults had the following scores on a personality test: 10, 10, 20, 30, and 50. the median of these five scores is ______.
options: 4, 24, 20, 120

Explanation:

Step1: Order the scores

First, we need to order the given scores from smallest to largest. The scores are 10, 10, 20, 30, 50. When ordered, they remain 10, 10, 20, 30, 50.

Step2: Find the median

For a set of data with \( n \) values, if \( n \) is odd, the median is the middle value. Here, \( n = 5 \) (which is odd). The middle position is \( \frac{n + 1}{2}=\frac{5+ 1}{2}=3 \)-rd value. Looking at the ordered list (10, 10, 20, 30, 50), the 3rd value is 20.

Answer:

20 (corresponding to the option "20")