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Concept explainers
a.
Find the five-number summary for the given data set.
a.
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Answer to Problem 2.55SE
For generic brand.
The minimum
The maximum
For Sunmaid.
The minimum
The maximum
Explanation of Solution
Given:
The given data set is
Calculation:
For generic brand.
Arrange the data set from smallest to largest.
Use five-number summary
The minimum
The median
For lower quartiles.
The lower quartile is the
For upper quartiles.
The lower quartile is the
The maximum
For Sunmaid.
Arrange the data set from smallest to largest.
Use five-number summary
The minimum
The median
For lower quartiles.
The lower quartile is the
For upper quartiles.
The lower quartile is the
The maximum
b.
Draw two box plots on the same horizontal scale.
b.
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Answer to Problem 2.55SE
The boxplot is
Explanation of Solution
Given:
The given data set is
Calculation:
For generic brand.
Arrange the data set from smallest to largest.
Use five-number summary
The minimum
The median
For lower quartiles.
The lower quartile is the
For upper quartiles.
The lower quartile is the
The maximum
Outliers
There are no outliers, because all data values are between
For Sunmaid.
Arrange the data set from smallest to largest.
Use five-number summary
The minimum
The median
For lower quartiles.
The lower quartile is the
For upper quartiles.
The lower quartile is the
The maximum
Outliers
There are no outliers, because all data values are between
The boxplot starts at the lower quartile, ends at the upper quartile and vertical line at the median.
The whiskers of the boxplot are at the minimum and maximum value (excluding the outliers).
The box plot is
c.
Draw a stem and leaf plots for the given data sets.
c.
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Answer to Problem 2.55SE
The shape of the distributions are symmetric and boxplots confirm the result.
Explanation of Solution
Given:
The given data set is
Calculation:
For generic brand.
Arrange the data set from smallest to largest.
Placethe digits of the ones to the left of the vertical line and the digits of the tenths of every data value to the right of the vertical line.
Stem | Leaf |
For Sunmaid.
Arrange the data set from smallest to largest.
Placethe digits of the ones to the left of the vertical line and the digits of the tenths of every data value to the right of the vertical line.
Stem | Leaf |
Both distributionsare symmetric, because most of the data values lie in the middle of the distribution.
The boxplots also confirms that the distribution is symmetric, because the box of the boxplot lies in the middle between the whiskers.
d.
Check the result for the average number of raisins for the two brands.
d.
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Answer to Problem 2.55SE
The two brands appear to have the same average number of raisins.
Explanation of Solution
Given:
The given data set is
Calculation:
For generic brand.
Arrange the data set from smallest to largest.
Use five-number summary
The minimum
The median
For Sunmaid.
Arrange the data set from smallest to largest.
Use five-number summary
The minimum
The median
The median of both the brands are identical, the two brands appear to have the same average number of raisins.
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Chapter 2 Solutions
Introduction to Probability and Statistics
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