Math Problem Statement
Minimum: 60
First Quartile (Q1): 70
Median (Q2): 80
Third Quartile (Q3): 90
Maximum: 120 box plot of this data
Solution
Here is the box plot based on your data, displaying the minimum, Q1 (first quartile), median (Q2), Q3 (third quartile), and the maximum.
- The whiskers extend from the minimum (60) to the first quartile (70) on the left side, and from the third quartile (90) to the maximum (120) on the right.
- The box represents the interquartile range, with the median shown by the red line inside the box.
Would you like more details or have any questions about this? Here are five related questions to expand the topic:
- How is the interquartile range (IQR) calculated from a box plot?
- What does the median tell us about the dataset?
- How can outliers be identified in a box plot?
- What are the common uses of a box plot in data analysis?
- How can skewness be interpreted from a box plot?
Tip: The distance between Q1 and Q3 is a good indicator of data spread—it's known as the interquartile range (IQR).
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Math Problem Analysis
Mathematical Concepts
Statistics
Box Plot
Quartiles
Interquartile Range (IQR)
Formulas
Interquartile Range (IQR) = Q3 - Q1
Whiskers: min = 60, Q1 = 70, Q2 = 80, Q3 = 90, max = 120
Theorems
Five-number summary in statistics
Suitable Grade Level
Grades 9-12
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