![Glencoe Math Accelerated, Student Edition](https://www.bartleby.com/isbn_cover_images/9780076637980/9780076637980_smallCoverImage.jpg)
Concept explainers
a.
To Find: To find the mean absolute deviation of the given data.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 9IP
The mean absolute deviation is 2
Explanation of Solution
Given information:Wood planks made by the carpenter.
Formula used: For Mean:
Calculation:
Calculation of Mean
Thus, mean is 5.5
Now, calculation of mean absolute deviation
4 | 1.5 | |
8 | 2.5 | |
7 | 1.5 | |
3 | 2.5 | |
Total | 0 | 8 |
Thus, mean absolute deviation is 2
Hence, the required mean absolute deviation is 2.
b.
To Find:To find the mean absolute deviation of the given data in feet.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 9IP
Mean absolute deviation is 6
Explanation of Solution
Given information:Wood planks made by the carpenter.
Formula used: For Mean:
Calculation:
Taking 1 yard equal to 3 feet the new data became
12, 24, 21, 9
Calculation of Mean
Thus, mean is 16.5
Now, calculation of mean absolute deviation
12 | 4.5 | |
24 | 7.5 | |
21 | 4.5 | |
9 | 7.5 | |
Total | 0 | 24 |
Thus, mean absolute deviation is 6
Hence, the required mean absolute deviation is 6
c.
To Compare:To compare the difference in mean absolute deviation of the given data in both conditions.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 9IP
The reason is multiple of 3.
Explanation of Solution
Given information:Mean absolute deviation in both cases.
In the first case when data is given in yards mean absolute deviation is 2 and mean is 5.5 while in the second case when data is given in feet mean absolute deviation is 6 and mean is 16.5.
Comparing this, it can be concluded that the values are affected by a multiple of 3 and this is happened because of one yard is equal to three feet. So, every observation in yard is changed to feet with a multiple of 3.
Hence, mean absolute deviation is changed by three times by converting the data yards into feet.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)