https://file.aiquickdraw.com/mathbot/file/17264296694082huy89t7.jpg

To analyze the dot plot, let’s break it down:

The number of text messages Reza sent each day is depicted on the dot plot for each day in the billing cycle. The x-axis represents the number of text messages (ranging from 1 to 13), and the dots represent the frequency of how many times that number of texts was sent on different days.

From the plot:
- There is a cluster of data between 6 and 8 messages per day, with 6 and 7 appearing more frequently than other values.
- There are fewer dots at the lower end (1, 2) and higher end (11, 12).
- The distribution is not symmetric. The bulk of the dots are concentrated in the middle (around 6-8 messages), and there are outliers at the high end (11, 12).

### Answering the question:
The correct statement must describe both the shape and the center of the data accurately.

- **Option A: The data is symmetric and shows that he typically sent about 6 to 8 text messages per day.**
  - **False**: The data is not symmetric, as there are more values clustered in the middle (6-8 messages) with some outliers at the higher end.

- **Option B: The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.**
  - **False**: The data is not symmetric, and the frequencies at 11 or 12 are not the same as those at 1 or 2.

- **Option C: The data is skewed and shows that he typically sent about 6 to 8 text messages per day.**
  - **True**: The data is **skewed** (slightly right-skewed), and most of the values are between 6 and 8.

- **Option D: The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.**
  - **False**: While the data is skewed, the frequencies at 11 or 12 are not the same as at 1 or 2.

Thus, **the correct answer is C**.

Would you like further explanation or more details on any part of this analysis?

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Here are 5 related questions you might find useful:

1. What is the difference between symmetric and skewed data?
2. How do you determine the typical value from a dot plot?
3. What does it mean if data is right-skewed or left-skewed?
4. How does a dot plot visually represent frequency?
5. What are outliers, and how can they affect the shape of a distribution?

**Tip:** When analyzing skewed data, pay attention to the direction where the data tails off. This helps in identifying whether the distribution is left-skewed or right-skewed.

The number of text messages Reza sent each day so far in this billing cycle is shown on the dot plot. Which statement must be true according to the dot plot?

This problem helps students analyze a dot plot to determine whether the data is skewed or symmetric. Using statistical concepts like frequency distribution and skewness, this problem is suitable for students in Grades 6-8.

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