From the image you provided, the dot plot represents data entries, and the task is to identify the actual data entries along with the maximum and minimum data values. Here's the analysis:

Dot Plot Analysis:

The x-axis values range from 12 to 19, and the dots above each number represent the frequency of that value. Counting the dots:

• 12: 1 dot (frequency of 1)
• 13: 3 dots (frequency of 3)
• 14: 4 dots (frequency of 4)
• 15: 5 dots (frequency of 5)
• 16: 2 dots (frequency of 2)
• 17: 1 dot (frequency of 1)
• 18: 1 dot (frequency of 1)
• 19: 2 dots (frequency of 2)

Listing the data entries:

The data entries based on the frequency of each value are:

• 12 (once),
• 13 (three times),
• 14 (four times),
• 15 (five times),
• 16 (twice),
• 17 (once),
• 18 (once),
• 19 (twice).

Thus, the correct set of data entries is: $12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 17, 18, 19, 19$

Maximum and Minimum Data Entries:

• Maximum: 19
• Minimum: 12

Correct Option:

From the options provided, Option A correctly matches the data entries.

Would you like more details or have any questions?

Here are 5 questions related to this:

1. How do you interpret a dot plot and its frequencies?
2. How would you calculate the mean of the dataset from the dot plot?
3. What is the median of the dataset based on the listed data?
4. How can the mode be identified from this dot plot?
5. Why is it important to correctly identify the maximum and minimum in a dataset?

Tip: When analyzing dot plots, always count the frequency of each value carefully to accurately list all data entries.