Question

How do you find the median of the test scores 93, 72, 80, 95, 90, 70, 91, 85, 86?

Answer 1

To find the median of the test scores, you need to follow these steps:

1. **Arrange the scores in ascending order**:
- The original scores are: 93, 72, 80, 95, 90, 70, 91, 85, 86.
- When sorted in ascending order, the scores are: 70, 72, 80, 85, 86, 90, 91, 93, 95.

2. **Determine the number of scores**:
- There are 9 scores in total.

3. **Find the median**:
- Since the number of scores (9) is odd, the median is the middle score.
- The middle score can be found at position \( \frac{n + 1}{2} = \frac{9 + 1}{2} = 5 \).
- The 5th score in the sorted list (70, 72, 80, 85, 86, 90, 91, 93, 95) is 86.

Therefore, the median of the test scores is **86**.