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Find the Upper and Lower outlier boundaries

For the given data set, the quartiles and outlier boundaries are as follows:

- **First Quartile (Q1):** 4.0
- **Third Quartile (Q3):** 8.0
- **Interquartile Range (IQR):** 4.0 (calculated as Q3 - Q1)
- **Lower Outlier Boundary:** -2.0
- **Upper Outlier Boundary:** 14.0

Any data point below -2.0 or above 14.0 would be considered an outlier.

Would you like further details or explanations? 

Here are 5 related questions you might consider:
1. How do you calculate the interquartile range (IQR)?
2. What is the significance of the 1.5 multiplier in determining outliers?
3. How can you detect outliers in other statistical methods?
4. How does the distribution of data affect the identification of outliers?
5. What happens if data points fall exactly on the outlier boundaries?

**Tip:** Outliers can sometimes indicate errors in data entry or unique patterns worth investigating further.

Learn how to find the upper and lower outlier boundaries for a given data set. This example covers statistical concepts like quartiles, interquartile range (IQR), and calculating outlier boundaries. With a Q1 of 4 and Q3 of 8, the lower outlier boundary is -2 and the upper boundary is 14. Suitable for students in Grades 9-12.

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