Determine whether the statement is true or false. If it is false rewrite it as a true statement

An outlier is any number above 

Upper Q 3Q3 

or below 

Upper Q 1Q1.

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Part 1

A.

This statement is false. A true statement is​ "An outlier is any number above 

Upper Q 3Q3plus+​1.5(IQR) 

or below 

Upper Q 1Q1minus−​1.5(IQR) 

are considered​ outliers."

B.

This statement is false. A true statement is​ "An outlier is any number above 

Upper Q 1Q1minus−​1.5(IQR) 

or below 

Upper Q 3Q3plus+​1.5(IQR)."

C.

This statement is false. A true statement is​ "An outlier is any number above 

2 times Upper Q 32•Q3 

or below 

2 times Upper Q 12•Q1​."

D.

This statement is true.




The correct answer is **A**.

The given statement is **false** because it does not account for the proper definition of outliers using the interquartile range (IQR).

A true statement would be:  
**"An outlier is any number above Q3 + 1.5(IQR) or below Q1 - 1.5(IQR)."**

Here’s a breakdown:

- **Q1 (Lower Quartile)**: The median of the lower half of the dataset.
- **Q3 (Upper Quartile)**: The median of the upper half of the dataset.
- **IQR (Interquartile Range)**: The range between Q1 and Q3, i.e., \( IQR = Q3 - Q1 \).

Outliers are numbers that lie outside the range:
\[ [Q1 - 1.5(IQR), Q3 + 1.5(IQR)] \]

This rule helps in identifying extreme values in the dataset.

Would you like to know more about interquartile ranges and how they are used in statistics? 

Here are some related questions:
1. How is the interquartile range (IQR) calculated?
2. What is the significance of identifying outliers in a dataset?
3. How do Q1 and Q3 relate to the overall spread of data?
4. What are some common methods to handle outliers?
5. Can outliers be beneficial in any statistical analysis?

**Tip**: Outliers can skew data distributions and affect statistical measures like mean and standard deviation, so it's crucial to understand how they impact your analysis.

Determine whether the statement is true or false. If it is false, rewrite it as a true statement: An outlier is any number above Q3 or below Q1.

Learn how to identify outliers in a dataset using the interquartile range (IQR) method. This detailed explanation covers the IQR formula, how to calculate it, and how it is applied to determine outliers. Suitable for students in Grades 9-12.

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