Concept explainers
To calculate mean, median, mode, rangeand standard deviation after multiply the given constant.
Answer to Problem 3CYU
Mean is 17.25.
Median is 28.5.
Mode is 9.
Standard deviation is 9.41
Range is 24
Explanation of Solution
Given information:
Frequency: 6,10,3,7,4,9,3,8,5,11,2,1
Constant to be multiplied: 3
Formula used:Mean formula is,
Where, f is frequency
N is total number of items
X is item.
Median formula is,
Where, N cumulative frequency
Mode is the item with the maximum frequency.
Standard deviation is,
Where, SD= standard deviation,
x = value
The Range is the difference between the lowest and highest values.
Calculation:
According to question,
Multiplying 3to all the frequency values,
New frequency:
18,30,9,21,12,27,9,24,15,33,6,3
Sorting the frequency
3,6,9,9,15,18,21,24,27,30,33
For Mean,
Substituting the values in mean formula,
So,
Solving,
Hence, Mean is 17.25
For median,
Substituting values,
On solving,
Substituting the values,
On solving,
Hence, Median is 19.5.
For mode,
Mode is the item with the maximum frequency, which is 9.
For standard deviation,
Substituting the values in standard deviation formula,
Solving,
On solving,
Hence, Standard deviation is 9.41
For Range,
Range is the difference between the lowest and highest values.
Substituting the values,
On solving,
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra (7th Edition)
Linear Algebra and Its Applications (5th Edition)
College Algebra
College Algebra
Using & Understanding Mathematics: A Quantitative Reasoning Approach (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