Math Problem Statement
On weekends, Mr. Rubio sells paletas, or Mexican popsicles, from a cart. The number of customers he has served each Saturday and Sunday for the last month is summarized in the box plot. What is the interquartile range of the data?
Solution
The question asks for the interquartile range (IQR) of the data represented in the box plot.
Steps to Solve:
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Identify Q1 (First Quartile): From the box plot, Q1 is the left edge of the box. It appears to be at 22.
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Identify Q3 (Third Quartile): From the box plot, Q3 is the right edge of the box. It appears to be at 28.
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Calculate the IQR: The formula for the interquartile range is: Substituting the values:
Final Answer:
The interquartile range (IQR) is 6.
Would you like a further explanation or have any questions?
Related Questions:
- What does the interquartile range tell us about the data?
- How is the median represented in a box plot?
- What does it mean if the IQR is small or large?
- How can box plots help identify outliers?
- What are some common uses of the interquartile range in statistics?
Tip:
Always double-check the positions of Q1 and Q3 on the box plot, as they provide the key values for calculating the IQR.
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Math Problem Analysis
Mathematical Concepts
Interquartile Range
Box Plot
Data Analysis
Formulas
IQR = Q3 - Q1
Theorems
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Suitable Grade Level
Grades 6-8