https://file.aiquickdraw.com/mathbot/file/1730073883799uokc064n.jpg

Let's analyze this histogram and answer the questions step-by-step.

1. **Histogram Characteristics (Select All That Apply)**:
   - This histogram shows a right-skewed distribution because the tail extends to the right (higher ages have fewer cars).
   - Therefore, the correct choice is **"right skewed"**.

2. **Most Appropriate Measure of Center**:
   - In a right-skewed distribution, the median is usually a better measure of center than the mean, as it is less affected by extreme values on the higher end.
   - So, the answer here is **"median"**.

3. **Relationship Between Mean and Median**:
   - In a right-skewed distribution, the mean is typically greater than the median, as it is pulled toward the higher values in the tail.
   - Therefore, the answer is **"mean is greater than the median"**.

### Summary:
- **Terms that apply**: Right skewed
- **Measure of center**: Median
- **Relationship between mean and median**: Mean is greater than the median

Would you like a more detailed explanation of any part of this answer? 

### Additional Practice Questions:
1. What effect does skewness have on the standard deviation of a data set?
2. Why might a mean not be an ideal measure of center in a right-skewed distribution?
3. How would the histogram look if the distribution were "uniform"?
4. What changes in the histogram might lead you to select "left skewed" instead?
5. How can the shape of a histogram help in determining the presence of outliers?

**Tip**: In skewed distributions, the median is usually a more reliable measure of center as it is less sensitive to outliers than the mean.

The histogram below shows the ages (in years) of a random sample of cars listed for sale on the NY Times Web site.
Which of the following terms apply to this histogram? (Select all that apply.)
Which measure of center is most appropriate for this data?
What is the relationship between the mean and the median for this data?

Learn how to analyze a right-skewed histogram representing the ages of cars listed for sale and determine the most appropriate measure of center. Understand the relationship between the mean and the median in a skewed distribution.

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