Math Snap

STEP 1

1. The scores are given as: $X, 91, 76, 82, 37, 42, 74, 54, Y$.
2. The scores already filled in order are: $37, 42, 54, 74, 76, 82, 91$.
3. The variables $X$ and $Y$ represent the lowest and highest scores, respectively.

STEP 2

1. Identify the values of $X$ and $Y$.
2. Order all the scores from lowest to highest.
3. Determine the median of the ordered scores.

STEP 3

Identify $X$ as the lowest score and $Y$ as the highest score. Thus, $X = 37$ and $Y = 91$.

STEP 4

List all scores including $X$ and $Y$:
$$37, 42, 54, 74, 76, 82, 91$$

Since there are 9 scores, the median is the 5th score in the ordered list.
The ordered list is:
$$37, 42, 54, 74, 76, 82, 91$$ The 5th score is:
$$76$$ The median is:
$$\boxed{76}$$ Explanation: The median represents the middle score in a data set when it is ordered from lowest to highest. It provides a measure of central tendency that is not affected by extreme values.