Concept explainers
To describe: The value that represents the 84th percentile of a
Answer to Problem 63E
The 84th percentile is the value that is one standard deviation away from the mean in case of a normal distribution.
Explanation of Solution
Given:
The n% of the values in a data set are less than or equal to a certain value that represents the nth percentile.
Calculation:
Based on the definition of the nth percentile, the value at the 84th percentile represents the value that if greater than or equal to 84% of the data that is normally distributed.
In order to determine the value at the 84th percentile using mean and standard deviation, 84 is taken as the z value and using the relation
So, for a normal curve, the 84th percentile is the value that is one standard deviation away from the mean.
Chapter 13 Solutions
EBK PRECALCULUS W/LIMITS
- 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