Concept explainers
To calculate: The centers and variations and to find on which road speeds are more consistent.
Answer to Problem 2GP
The speeds in Hayes Road has a median of 55 miles per hour with an inter quartile range of 10 miles per hour.
The speeds in Jefferson Road has a median of 45 miles per hour with an inter quartile range of 15 miles per hour.
Hayes Road speeds are more consistent.
Explanation of Solution
Given information: The double box plots showing the speed of cars at two different roads.
Calculation:
The distribution for speeds in Hayes Road is symmetric, while that of speeds in Jefferson Road is not symmetric. Use the median to compare the centers and the inter quartile range to compare the variations.
In box plot, a box is drawn from the first quartile to the third quartile and median is where the vertical line goes through.
For Hayes Road:
Therefore,
The speeds in Hayes Road has a median of 55 miles per hour with an inter quartile range of 10 miles per hour.
For Jefferson Road:
Therefore,
The speeds in Jefferson Road has a median of 45 miles per hour with an inter quartile range of 15 miles per hour.
Hayes Road | Jefferson Road | |
median | 55 | 45 |
inter quartile range | 10 | 15 |
Median of Hayes Road speeds are greater than that of Jefferson Road with little variation.
So, Hayes Road speeds are more consistent.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning