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The image contains two questions related to comparing a box plot and a dot plot:

**Question c**: *What information about the data is provided by the box plot that is not provided by the dot plot?*

**Answer**:  
A box plot provides statistical summaries about the distribution of the data that a dot plot does not. Specifically:
- **Median**: The box plot shows the median, which is a key measure of central tendency.
- **Quartiles**: It shows the first quartile (Q1) and third quartile (Q3), giving insight into the spread of the middle 50% of the data.
- **Interquartile Range (IQR)**: The box plot gives an idea of the variability of the central portion of the data.
- **Outliers**: Box plots often highlight outliers that are far from the main distribution.

**Question d**: *What information about the data is provided by the dot plot that is not provided by the box plot?*

**Answer**:  
A dot plot provides more detailed information about the individual data points, including:
- **Frequency of individual values**: The dot plot shows how many times each data value appears.
- **Exact distribution of data**: It shows the precise distribution of every data point, unlike the box plot which only summarizes the data into quartiles.
- **Clusters and gaps**: The dot plot highlights where the data clusters and where there are gaps or sparse areas.
  
Would you like a detailed explanation of these concepts or have any other questions?

Here are 5 related questions to think about:
1. How does the range of a dataset compare between a dot plot and a box plot?
2. How can you identify skewness in a box plot compared to a dot plot?
3. Can a box plot ever provide misleading information compared to a dot plot? Why or why not?
4. What are the advantages of using both a box plot and a dot plot to analyze a dataset?
5. How can you estimate the mean of a dataset using a dot plot?

**Tip**: A box plot is useful for understanding the spread and outliers of your data, but a dot plot provides a clearer picture of individual values and their exact frequencies.

What information about the data is provided by the box plot that is not provided by the dot plot? What information about the data is provided by the dot plot that is not provided by the box plot?

Learn how box plots and dot plots represent data differently. Box plots provide summaries of the distribution, including the median, quartiles, and outliers, while dot plots highlight the exact frequency and clustering of data points. Suitable for students in Grades 6-8.

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