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
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