Concept explainers
(a)
To graph: the representation of the data and make the double box.
(a)
Answer to Problem 8CT
Least value:
Explanation of Solution
Given:
Concept used:
Arithmetic mean:
Mean:
Median
Mode= the value in the data set that occurs most frequently.
Calculation:
Steps in making a box and whisker plot:
Step
Step
Graph points above the number line for the
Step
Draw whiskers from the box to the least and greatest values.
Brand
Least value:
First quartile: median of lower half:
Median:
Third quartile:
Median of upper half:
Greatest value:
Brand
Least value:
First quartile: median of lower half:
median
Third quartile: median of upper half:
Greatest value:
The double box:
Hence, Least value:
(b)
To find: The Identification of the shape of each distribution.
(b)
Answer to Problem 8CT
The brand
Explanation of Solution
Given:
Concept used:
For the symmetric distributions, the mean is approximately equal to the median and right tails are equally balanced meaning that they have about the same length.
If the right whisker is longer than the left whisker, the distribution is positively skewed.
Calculation:
For brand
For brand
Since both distributions are skewed, use the median to describe the centre and the five numbers summary to describe the variation.
Hence, the brand
(c)
To find: the battery lives of two brands that are most spread out and explain.
(c)
Answer to Problem 8CT
Brand
Explanation of Solution
Given:
Concept used:
For the symmetric distributions, the mean is approximately equal to the median and right tails are equally balanced meaning that they have about the same length.
If the right whisker is longer than the left whisker, the distribution is positively skewed.
Calculation:
Brand
Hence, Brand
(d)
To find: the comparison of the distribution using there shapes and appropriate measurement of centre and variation.
(d)
Answer to Problem 8CT
The brand
Explanation of Solution
Given:
Concept used:
For the symmetric distributions, the mean is approximately equal to the median and right tails are equally balanced meaning that they have about the same length.
If the right whisker is longer than the left whisker, the distribution is positively skewed.
Calculation:
For brand
For brand
Since both distributions are skewed, use the median to describe the centre and the five numbers summary to describe the variation.
Hence, the brand
Chapter 7 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education