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 Choose the two valid statements based on the data in the dot plots.
Responses
A	Supplier A has a greater median data value than Supplier B.Supplier A has a greater median data value than Supplier B.
B	Supplier A has a greater interquartile range than Supplier B.Supplier A has a greater interquartile range than Supplier B.
C	Supplier B has a greater mean value than Supplier A.Supplier B has a greater mean value than Supplier A.
D	Supplier A has less variance in data than Supplier B.Supplier A has less variance in data than Supplier B.
E	Supplier B has fewer outliers than Supplier A.

Based on the dot plot provided, here is the evaluation of each statement:

1. **Option A:** *Supplier A has a greater median data value than Supplier B.*  
   - This appears to be true because the central clustering of Supplier A's data is around 600, while Supplier B's data is centered slightly lower, indicating a potentially lower median for Supplier B.

2. **Option B:** *Supplier A has a greater interquartile range than Supplier B.*  
   - This does not seem accurate. Supplier B's data is more spread out, suggesting it has a wider interquartile range than Supplier A, which has a more concentrated data cluster.

3. **Option C:** *Supplier B has a greater mean value than Supplier A.*  
   - Supplier A's data seems more centered around a higher value (close to 600), which would suggest a higher mean for Supplier A compared to Supplier B, whose data appears more spread out towards lower values.

4. **Option D:** *Supplier A has less variance in data than Supplier B.*  
   - This is true. The data points for Supplier A are closely clustered, indicating less variance, while Supplier B’s data points are more spread out, indicating higher variance.

5. **Option E:** *Supplier B has fewer outliers than Supplier A.*  
   - This is unclear from the plot alone since we can't definitively identify outliers without further statistical context like a boxplot or specific threshold values. However, visually, Supplier A's data points are more tightly grouped, so if outliers are present, they would likely be more in Supplier B.

### Valid Statements
The two valid statements based on this dot plot are:
- **A**: Supplier A has a greater median data value than Supplier B.
- **D**: Supplier A has less variance in data than Supplier B.

Would you like further details or explanations on any of these points?

Here are five related questions for deeper analysis:
1. How do you calculate the median and mean from a dot plot?
2. How can we estimate interquartile range from this type of plot?
3. What statistical methods determine variance and standard deviation in data?
4. How could we identify and confirm outliers with more statistical context?
5. What impact does variance have on the reliability of a supplier's data?

**Tip:** When assessing dot plots, look for data clustering to estimate median and spread to gauge variance visually.

Choose the two valid statements based on the data in the dot plots.

Responses:
A. Supplier A has a greater median data value than Supplier B.
B. Supplier A has a greater interquartile range than Supplier B.
C. Supplier B has a greater mean value than Supplier A.
D. Supplier A has less variance in data than Supplier B.
E. Supplier B has fewer outliers than Supplier A.

Explore the statistical analysis of supplier data using dot plots to compare median, mean, variance, and interquartile range. This problem focuses on visual data interpretation to assess supplier reliability, aimed at high school students studying statistics.

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