The given problem involves finding the values of x and y in a distribution, given that the median is 28.5. Let's break down the problem and solve it step by step.

Step 1: Understanding the Median
The median is a measure of central tendency that represents the middle value in a set of data when arranged in ascending or descending order. In this problem, we are given that the median is 28.5, which means that when the data is arranged in order, the middle value is 28.5.

Step 2: Identifying the Unknown Values
To solve the problem, we need to find the values of x and y. These values are part of the data set and contribute to the calculation of the median. Let's assume that x is the value before the median and y is the value after the median.

Step 3: Arranging the Data
To find the values of x and y, we need to arrange the data set in ascending or descending order. However, since we don't have the complete data set, we cannot directly arrange the data. Instead, we can make some assumptions and find the possible values of x and y.

Step 4: Considering the Scenarios
Let's consider two possible scenarios for the arrangement of the data:

1. Scenario 1: x < 28.5="" />< />
In this scenario, x is less than the median (28.5), and y is greater than the median. Since the median is 28.5, we can assume x = 28 and y = 29. This satisfies the condition x < 28.5="" />< />

2. Scenario 2: x = 28.5 = y
In this scenario, both x and y are equal to the median (28.5). This means that the median value is repeated in the data set.

Step 5: Final Answer
Based on the two scenarios, the possible values of x and y are as follows:

1. Scenario 1: x = 28, y = 29
2. Scenario 2: x = 28.5, y = 28.5

Therefore, the values of x and y in the distribution are either (28, 29) or (28.5, 28.5), depending on the arrangement of the data.

Conclusion
In this problem, we found the possible values of x and y in a distribution given that the median is 28.5. By considering two scenarios for the arrangement of the data, we determined that the values of x and y can be (28, 29) or (28.5, 28.5). It's important to note that without the complete data set or additional information, we cannot determine the specific values of x and y.