To find the median score in the set of scores from last semester's midterm, we need to first arrange them in ascending order. Here are the scores provided:

Scores: $90, 97, 100, 93, 90$

Step 1: Arrange the Scores in Order

Arranged in ascending order, the scores become: $90, 90, 93, 97, 100$

Step 2: Identify the Median

Since there are five scores, the median will be the middle number in this ordered list, which is the third score.

The median score is 93.

Would you like further details or have any other questions?

Here are five related questions for further understanding:

1. How do we find the median in an even set of numbers?
2. What is the difference between median and mean?
3. How does the median change if the highest score is increased significantly?
4. What happens to the median if we add another score to make the total count even?
5. How can we find the median for a grouped data set?

Tip: When finding the median, always arrange the numbers in ascending order first, regardless of how they are presented initially.