To explain: The test score of a student is considered an outlier or not.
A student scoring 100 on a test is considered as an outlier.
Given:
The test scores of students is
The total number of students in a class
A student scored 100 on the test.
Concept used:
The number of standard deviations away from the mean is known as the Z score.
Z score is calculated using the formula
Z scores above 3 are considered an outlier.
Calculation:
The Z score for a test score of 100 is calculated as shown below
Interpretation:
The Z score for the score of 100 on the test is 4.4. According to the empirical rule, 99.7% of data lie within 3 standard deviations of the mean. Thus the Z score of 4.4 is considered as an outlier as it is above 3.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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