To determine the median of the data represented in this dot plot, we need to identify the total number of data points and their corresponding values. The median is the middle value of a dataset when it is ordered from least to greatest.

Steps:

1. Count the total number of data points.
2. Arrange the data points in order (which seems to be done already on the x-axis).
3. If the total number of points is odd, the median is the middle value. If even, the median is the average of the two middle values.

Let me analyze the dot plot carefully:

• The x-axis shows values from 5 to 55 in increments of 5.
• There are dots above each of these values. Each dot represents a data point.

I will count the dots for each value and calculate the median based on that. Let me begin:

Dot counts per value:

• 5: 3 dots
• 10: 3 dots
• 15: 3 dots
• 20: 3 dots
• 25: 3 dots
• 30: 3 dots
• 35: 3 dots
• 40: 3 dots
• 45: 3 dots
• 50: 3 dots

Total number of data points = 30 dots (since each category has 3 dots).

Finding the Median:

Since there are 30 data points, the median will be the average of the 15th and 16th values in the ordered set.

In this plot, the first 15 values are as follows (each value appears 3 times):

• Three 5's
• Three 10's
• Three 15's
• Three 20's
• Three 25's

The 15th and 16th data points both lie in the "25" category. Therefore, the median is:

$\text{Median} = 25$

Let me know if you have any further questions or need additional details! Here are 5 relative questions for you to explore:

1. How is the median different from the mean in this dataset?
2. What is the mode of this data set?
3. What would happen to the median if you removed one data point from 25?
4. How would you calculate the interquartile range (IQR) for this dot plot?
5. How do outliers affect the median compared to the mean?

Tip: The median is often a better measure of central tendency for skewed distributions or data with outliers.