https://file.aiquickdraw.com/mathbot/file/1726335398628e0baip1s.jpg

Let's analyze the shapes of the three histograms in the image:

1. **Histogram 1**: This histogram has a **right-skewed (positively skewed)** distribution. The data is concentrated on the left side with a longer tail extending to the right.

2. **Histogram 2**: This histogram appears to be **symmetric**. It looks like a bell shape where the frequencies are higher in the center and decrease symmetrically on both sides, indicating a normal distribution.

3. **Histogram 3**: This histogram has a **left-skewed (negatively skewed)** distribution. The data is concentrated on the right side with a longer tail extending to the left.

Would you like a more detailed explanation, or do you have any other questions?

Here are some related questions to deepen your understanding:
1. What does the skewness of a histogram tell us about the data distribution?
2. How can we use a boxplot to confirm skewness seen in a histogram?
3. What are some examples of data sets that might produce a right-skewed histogram?
4. Can a symmetric histogram always be considered normally distributed?
5. How do outliers affect the shape of a histogram and boxplot?

**Tip**: Always check the tails of a histogram to determine if the data is skewed, symmetric, or if it has other special characteristics like bimodality.

Learn how to analyze histogram shapes, including right-skewed, symmetric, and left-skewed distributions. This problem helps students in Grades 9-12 understand how histograms represent data distribution and relate to boxplots for deeper statistical insights.

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