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(a)
To describe:
The distribution of the given data.
(a)
Answer to Problem 17E
Sales rep A distribution is symmetric and sales rep B is skewed right
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.
For sales rep A , the whisker lengths are equal and the median is in the middle of the plot
For sales rep B , the whisker lengths is longer than the left whisker and most of the data are on the left side of the plot.
Therefore,sales rep A distribution is symmetric and sales rep B is skewed right.
(b)
To find:
The range and interquartile range of the given data.
(b)
Answer to Problem 17E
Sales rep B sales are 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
Since the range of data set is rep A
The other
The difference of
Since the range of data set is rep B
The other
The difference of
The range and interquartile range of sales rep B are greater than that of sales rep A
So, sales rep B sales are more spread out.
(c)
To find:
The range and interquartile range of the given data.
(c)
Answer to Problem 17E
Sales rep B sales are
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 data set is rep A
The other
The difference of
So, sales rep B sales are
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