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?

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.