To create a dot plot for the given data, each number of incorrect answers will be represented as a distinct value on a horizontal axis. The frequency of each value is represented by stacking dots above it, with one dot per occurrence.

Steps to Create the Dot Plot:

1. Collect data: The data provided is:
   $1, 1, 3, 2, 4, 1, 4, 2, 2, 3, 2, 3, 1, 4, 2, 1, 5, 2, 4, 3$.
2. Organize the data: Tally the frequencies of each value:
   • $1$: 5 occurrences
   • $2$: 7 occurrences
   • $3$: 4 occurrences
   • $4$: 4 occurrences
   • $5$: 1 occurrence
3. Draw the horizontal axis: Mark integers $1, 2, 3, 4, 5$ on it.
4. Stack dots above each number: The number of dots corresponds to the frequency of each value.

Dot Plot Representation:

• $1: \bullet \bullet \bullet \bullet \bullet$ (5 dots)
• $2: \bullet \bullet \bullet \bullet \bullet \bullet \bullet$ (7 dots)
• $3: \bullet \bullet \bullet \bullet$ (4 dots)
• $4: \bullet \bullet \bullet \bullet$ (4 dots)
• $5: \bullet$ (1 dot)

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If you'd like, I can create a visual representation for this plot! Let me know. 😊

Do you want more details or have any questions?

Related Questions:

1. What is the mode of the data set?
2. How would you calculate the mean and median for this data?
3. How does a dot plot compare to a histogram for displaying data?
4. Can we use a box plot for this data? Why or why not?
5. How do outliers affect a dot plot like this?

Tip: Always tally the data before creating the plot to ensure accuracy!