The problem asks to create a dot plot based on the ages of choir members listed:
19, 15, 24, 22, 16, 24, 23, 13, 20, 21, 21, 13.

Steps to Create the Dot Plot:

1. Organize the data:
   Arrange the numbers in ascending order to make plotting easier:
   13, 13, 15, 16, 19, 20, 21, 21, 22, 23, 24, 24.

2. Draw a number line:

   • Label the number line with all ages from the smallest (13) to the largest (24).
   • Each number represents an age category.

3. Plot dots for each occurrence:

   • Count how many times each age appears in the data:

     • 13 appears 2 times.
     • 15 appears 1 time.
     • 16 appears 1 time.
     • 19 appears 1 time.
     • 20 appears 1 time.
     • 21 appears 2 times.
     • 22 appears 1 time.
     • 23 appears 1 time.
     • 24 appears 2 times.

   • Place a dot above each number on the number line for every occurrence.

Dot Plot:

13: ●●
14: 
15: ●
16: ●
17: 
18: 
19: ●
20: ●
21: ●●
22: ●
23: ●
24: ●●

This visualization helps represent the frequency of ages clearly.

Would you like me to explain further, or clarify any steps? Let me know if you'd like a detailed graph created digitally!

Related Questions:

1. What is the mode of this data set?
2. How can we calculate the median age from this list?
3. How would the dot plot change if one more person aged 20 joined?
4. How do dot plots differ from histograms in representing data?
5. How can you determine the range of ages using the dot plot?

Tip:

In a dot plot, the height of the dots above each value indicates frequency, making it easy to spot trends or patterns in the data.