Concept explainers
To find mean median mode, range and standard deviation.
Answer to Problem 2GP
Mean=44
Median=44.4
Mode=48
Range=13.6
Standard deviation=4.23
Explanation of Solution
Given information:
63,47,54,60,55,46,51,60,58,50,56,60
Formula used:
Mean=
Where, n=total number of terms,
Mode= most repeating numbers.
Median=
Range= maximum- minimum
Standard deviation,
Where
Calculation:
After multiplying with 0.8,
New data is 50.4,37.6,43.2,48,44,36.8,40.8,48,46.4,40,44.8,48
Sort the number in ascending order,
36.8,37.6,40,40.8,43.2,44,44.8,46.4,48,48,48,
Mean is,
Substituting the value,
So,
On solving,
Hence, mean is 44
For Median,
Substituting values,
Solving,
Substituting the values,
On solving,
Hence, median is 44.4.
For mode,
Substituting the value,
For Range, substituting the value,
On solving,
Hence, range is 13.6
For standard deviation,
values | Difference= | ( |
50.4 | 6.4 | 40.96 |
37.6 | -6.4 | 40.96 |
43.2 | -0.8 | 0.64 |
48 | 4 | 16 |
44 | 0 | 0 |
36.8 | -7.2 | 51.84 |
40.8 | -3.2 | 10.24 |
48 | 4 | 16 |
46.4 | 2.4 | 5.76 |
40 | -4 | 16 |
44.8 | 0.8 | 0.64 |
48 | 4 | 16 |
Total | 215.04 |
Substituting values,
On solving,
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra
College Algebra (7th Edition)
Trigonometry (11th 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