Which of the statements is true
Answer to Problem 2CYP
Statement G is true. The mean and the median both increase.
Explanation of Solution
Given:
The given data is
Calculation:
Mean = Sum of all observations/Total number of observations
Median = The exact middle value of the data when arranged from least to greatest
Order the data from least to greatest: 8, 10, 12, 15, 17
As, the total number of observations are 5 (odd), median will be the exact middle term.
Median = 12
Now, we will calculate the new mean and median by removing the lowest amount value i.e. $8.
New data is: $10, $12, $15, $17
New Mean =
New Median:
Order the data from least to greatest: 10, 12, 15, 17
As, the total number of observations are 4 (even), median will be 2nd term + 3rd term/2.
So, Median = 13.5
Therefore, statement G is true. The mean and the median both increase.
Chapter 13 Solutions
Pre-Algebra, Student Edition
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (5th Edition)
Algebra and Trigonometry (6th Edition)
College Algebra (5th Edition)
College Algebra (6th Edition)
Intermediate Algebra (7th Edition)
- 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