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Here are the results for the given sample dataHere are the results for the given sample 

- **Range**: \$2963 (difference between the largest value 3000 and the smallest value 37).
- **Variance**: \$732,485.70 (units squared).
- **Standard Deviation**: \$855.85 (units).

**Outliers**: Based on the 1.5*IQR (Interquartile Range) rule, the values 2000 and 3000 are identified as outliers.

### Impact of Outliers:
The presence of these high outliers (2000 and 3000) significantly increases the measures of variation, particularly the variance and standard deviation, which are sensitive to extreme values.

Would you like a more detailed explanation of any of these results or how they were calculated?

Here are 5 additional questions related to the topic:
1. What is the interquartile range (IQR) and how is it calculated?
2. How does the presence of outliers affect the mean and median differently?
3. Can the standard deviation ever be negative?
4. What are other methods to detect outliers besides the IQR rule?
5. How can removing outliers change the statistical analysis?

**Tip**: When analyzing data, always check for outliers as they can heavily influence statistical results!

Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any outliers, and are they likely to have much of an effect on the measures of variation?

This page provides a solution for calculating the range, variance, and standard deviation for the costs of marriage proposal packages at various baseball stadiums. It also discusses how outliers affect statistical measures of variation, using a sample dataset that includes costs from $37 to $3000.

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