Concept explainers
(a)
To explain:
The range and interquartile range of the given data.
(a)
Explanation of Solution
Given:
The data set
Concept used:
The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.
Calculation:
The first quartile denoted by
Order the data and the median of the lower half.
The difference of the greatest value and the least value of the data set is different.
Both brand A and brand B are skewed right and most of the data are on the left side of the plot
(b)
To find:
The range and interquartile range of the given data.
(b)
Answer to Problem 21E
Explanation of Solution
Given:
The data set
Concept used:
The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.
Calculation:
The first quartile denoted by
Order the data and the median of the lower half.
The difference of the greatest value and the least value of the data set is different
Since the range of the upper
Brand A
Brand B
(c)
To describe:
The distribution of the given data.
(c)
Answer to Problem 21E
Explanation of Solution
Given:
The data set
Concept used:
The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.
Calculation:
The first quartile denoted by
Order the data and the median of the lower half.
The other
The difference of
Brand A
Brand B
The interquartile range of brand A is greater than the interquartile range of brand B.
(d)
To explain:
The data more spread out between
(d)
Answer to Problem 21E
Brand A the data is more spread out.
Explanation of Solution
Given:
The data set
Concept used:
The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.
Calculation:
The first quartile denoted by
Order the data and the median of the lower half.
The difference of the greatest value and the least value of the data set is different
Brand A
Brand B
The difference of
Brand A
Brand B
So,brand A the data is more spread out.
(e)
To explain:
The range and interquartile range of the given data.
(e)
Explanation of Solution
Given:
The data set
Concept used:
The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.
Calculation:
The first quartile denoted by
Order the data and the median of the lower half.
The difference of the greatest value and the least value of the data set is different.
Both brand A and brand B are skewed right and most of the data are on the left side of the plot
Brand A
The battery life vary by no more than
Chapter 7 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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