Math Problem Statement
Find the Inter Quartile Range (IQR)
Find the Inter Quartile Range (IQR)
Solution
To calculate the Interquartile Range (IQR) from the box plot:
Steps:
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Identify the values for Q1 and Q3:
- Q1 (First Quartile): The left edge of the box corresponds to Q1, which is 8.
- Q3 (Third Quartile): The right edge of the box corresponds to Q3, which is 20.
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Compute the IQR:
Final Answer:
The Interquartile Range (IQR) is 12.
Would you like further details or clarification?
5 Related Questions:
- What does the IQR represent in a data set?
- How can we identify outliers using the IQR?
- What is the significance of Q1, Q3, and the median in a box plot?
- How does the IQR differ from the range of the data set?
- Can the IQR be used to compare the spread of two different data sets?
Tip:
The IQR is resistant to outliers, making it a reliable measure of variability in skewed data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Box Plot
Interquartile Range
Formulas
IQR = Q3 - Q1
Theorems
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Suitable Grade Level
Grades 6-8