https://file.aiquickdraw.com/mathbot/file/1730073889049j1lw4whj.jpg

Let's go through each question based on the histogram displayed in the image.

1. **Shape of the Histogram**:
   - The histogram shows a concentration of data on the left side (younger ages) and a tail extending to the right (older ages), indicating a **right skew**.
   - It has a single peak and does not have two modes, so it is **not bimodal**.
   - Since the data skews right, it is **not symmetric**.
   - The distribution is not **uniform** because the frequencies vary across the bins.

   **Correct answers for the terms that apply**:
   - Right skewed

2. **Measure of Center**:
   - For skewed data, the **median** is typically the more appropriate measure of center because it is less affected by outliers than the mean.

   **Correct answer**:
   - Median

3. **Relationship between Mean and Median**:
   - In a right-skewed distribution, the mean tends to be **greater than the median** because the mean is pulled in the direction of the skew (higher values in this case).

   **Correct answer**:
   - Mean is greater than the median

Let me know if you want further clarification on any point, or have questions about other aspects.

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Here are some additional questions to deepen understanding:
1. Why is the median less affected by skewed data compared to the mean?
2. How does skewness affect the spread and variability of data?
3. What are some real-world examples of right-skewed distributions?
4. How would the histogram look if the data were left-skewed instead?
5. How can we determine if a distribution is approximately uniform by looking at a histogram?

**Tip**: When dealing with skewed data, the median is often a more reliable indicator of central tendency than the mean, as it isn't influenced by extreme values.

The histogram below shows the ages (in years) of a random sample of cars listed for sale on the NY Times Web site. Determine the characteristics of the histogram and answer questions about skewness, measures of center, and the relationship between mean and median.

Explore how to analyze a histogram showing car ages and identify skewness, measures of center, and the relationship between mean and median. Learn about right-skewed distributions and why the median is often preferred for skewed data.

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