Math Problem Statement
Solution
Based on the provided box-and-whisker plots, here are the answers to the questions:
(a) Which city had the highest noon temperature?
- City B had the highest noon temperature, as shown by its upper whisker reaching the farthest to the right.
(b) Which city had noon temperatures with a larger interquartile range (IQR)?
- City A had a larger interquartile range (IQR). The box for City A is wider, indicating a larger spread between the first and third quartiles.
(c) Which city had a larger median noon temperature?
- City B had a larger median noon temperature, as its median line is positioned further to the right compared to City A.
(d) Which city had a smaller range of noon temperatures?
- City B had a smaller range of noon temperatures. Its whiskers span a narrower interval than those of City A.
Would you like any further clarification on these points?
Here are 5 related questions for further exploration:
- What is the specific numerical range for each city's noon temperatures?
- How would the mean temperature compare between these two cities?
- What does a larger interquartile range tell us about temperature variability?
- Why might one city have a more consistent temperature range than the other?
- How do outliers, if any, affect the interpretation of box-and-whisker plots?
Tip: When interpreting box-and-whisker plots, the length of the box shows the interquartile range, while the whiskers indicate the overall spread of the data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Interpretation
Box-and-Whisker Plot Analysis
Interquartile Range (IQR)
Range and Median
Formulas
Interquartile Range (IQR) = Q3 - Q1
Range = Maximum Value - Minimum Value
Theorems
Five-number summary in box-and-whisker plots
Suitable Grade Level
Grades 6-8
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