https://file.aiquickdraw.com/mathbot/file/1727315239951hun6ykob.jpg

The question asks whether the mean is greater than, less than, or equal to the median based on the provided dot plot. Let's analyze the data.

### Observations:
1. **Median**: The median is the middle value of the data. In this case, the dot plot appears to have most data points symmetrically spread around the center (around 100). The median should be the middle value, which looks to be somewhere between 100 and 110.

2. **Mean**: The mean is the average of all the data points. Unlike the median, the mean is affected by extreme values (outliers). In this graph, the data points are fairly symmetric, except for a few extreme values near 160.

### Explanation:
- Since there are some outliers on the higher end of the distribution (around 160), these values will pull the mean upward, making it higher than the median.
- The median, however, will remain closer to the center of the bulk of the data.

### Conclusion:
**The mean is greater than the median** because the extreme value at 160 pulls the mean higher, while the median remains relatively unaffected by the outlier.

Would you like more details or have further questions?

Here are some relative questions:
1. What is the impact of outliers on the mean compared to the median?
2. How would the mean and median change if the outlier near 160 were removed?
3. What are other situations where the mean could be less than the median?
4. How does the symmetry of a distribution affect the relationship between the mean and the median?
5. What would happen to the mean and median if more outliers were introduced on the lower end?

**Tip**: The median is always less affected by extreme values compared to the mean, which can be skewed significantly.

Is the mean greater than, less than, or equal to the median? Explain your reasoning.

Explore how the presence of outliers affects the mean and median of a data set. This lesson focuses on understanding the difference between these two measures of central tendency through a detailed analysis of a dot plot. Suitable for middle school students in Grades 6-8.

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