Concept explainers
To calculate standard deviation.
Answer to Problem 11PPS
Wildcat’s standard deviation is 2.23 and mean is 11.88.
Trojan’s standard deviation is 2.07 and mean is 10.06.
Explanation of Solution
Given information: Wildcat’s fouls are 15,12,13,9,11,12,14,12,8,16,9,9,11,13,12,14
Trojan’s fouls are 9,10,14,13,7,8,10,10,9,7,11,9,12,11,13,8
Formula used: Mean is,
Standard deviation is,
Where, SD= standard deviation,
x= value
Calculation:
For Wildcats,
Substituting the values in mean formula,
So,
On solving,
Hence, Mean is 11.88
For standard deviation substituting the values in the formula,
So,
On solving,
So,
On solving,
Standard deviation 2.23
For Trojans,
For mean substituting the values in mean formula,
So,
On solving,
Mean is 10.06
Substituting the values in standard deviation formula,
So,
On solving,
So,
On solving,
Hence, Standard deviation is 2.07
Comparing the means of wildcats and Trojan, the average fouls of wildcats are more than that of Trojan. Standard deviation of wildcats is more, hence, the foul points of wildcats are spread over a large number of values.
Chapter 10 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Additional Math Textbook Solutions
Elementary and Intermediate Algebra
Differential Equations and Linear Algebra (4th Edition)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
A Graphical Approach to College Algebra (6th Edition)
College Algebra (6th Edition)
Graphical Approach To College Algebra
- 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