Math Problem Statement
Find the 5-number summary for the data shown using the interpolation method.
Solution
The five-number summary for the data set is as follows:
- Minimum: 4.2
- First Quartile (Q1): 8.6
- Median: 18.2
- Third Quartile (Q3): 22.525
- Maximum: 29.1
Would you like more details or have any questions?
Here are 5 related questions:
- How do you calculate quartiles manually?
- What does the five-number summary tell us about the data distribution?
- How is the interpolation method used in determining quartiles?
- What are outliers, and how can they be detected using the five-number summary?
- How does the five-number summary differ from a box plot?
Tip: The interquartile range (IQR), which is Q3 - Q1, is useful for detecting outliers in data sets.
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Math Problem Analysis
Mathematical Concepts
Statistics
Quartiles
Five-number summary
Interpolation
Formulas
Quartile formula for Q1: (n+1)/4
Quartile formula for Q3: 3(n+1)/4
Interpolation formula for quartiles
Theorems
Interpolation method
Quartile calculation theorem
Suitable Grade Level
Grades 9-12