Concept explainers
(a)
To Find:Range, median, upper quartile, lower quartile, interquartile range, and any outlier for each set of data
(a)
Answer to Problem 21SR
For rose bowl:
Range:
Median:
Upper quartile =
Lower quartile =
Interquartile range =
For Cotton bowl:
Range:
Median:
Upper quartile =
Lower quartile =
Interquartile range =
Explanation of Solution
Given:Use the data in the stem-and-leaf plot.
Finding range for Rose bowl
Highest age =
Lowest age =
Then
Range = highest age − lowest age
The range is
Finding range of Cotton bowl
Highest age =
Lowest age =
Then
Range = highest age − lowest age
The range is
Finding Upper quartile and lower quartile of rose bowl
From the stem-and-leaf plot
The median of the data is
Upper quartile =
Lower quartile =
For finding interquartile range
Interquartile range = Upper quartile − lower quartile
Now,
Multiply the interquartile range by
We get
Now subtract
I.e.
Since all the data is in the range of
Thus
There is no outlier in the data
Finding Upper quartile and lower quartile of Cotton bowl
From the stem-and-leaf plot
The median of the data is
Upper quartile =
Lower quartile =
For finding interquartile range
Interquartile range = Upper quartile − lower quartile
Now,
Multiply the interquartile range by
We get
Now subtract
I.e.
Since all the data is in the range of
Thus
There is no outlier in the data
(b)
To Compare:The given data.
(b)
Answer to Problem 21SR
The range of cotton bowl is greater than Rose bowl.
The median of rose bowl is greater than cotton bowl.
The Upper quartile and the lower quartile of rose bowl is greater than cotton bowl.
The interquartile range of the rose bowl is also greater than the cotton bowl.
Explanation of Solution
Given:Use the data in the stem-and-leaf plot.
From the data given
It is seen that there is one outlier in the data.
The range of cotton bowl is greater than Rose bowl.
The median of rose bowl is greater than cotton bowl.
The Upper quartile and the lower quartile of rose bowl is greater than cotton bowl.
The interquartile range of the rose bowl is also greater than the cotton bowl.
Chapter 13 Solutions
Pre-Algebra, Student Edition
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