(a)
To find:
The number of fish were in study.
Answer to Problem 29E
Solution:
The numbers of fish were 85.
Explanation of Solution
The following stem and leaf plot from a study published in an academic journal, which displays the measurements of the anterior radius of the left otolith for female stone flounder obtained from commercial capture in Tokyo Bay. The numbers to the left of the stems in this graph represent the cumulative frequencies of the data to the closest end. The middle stem is denoted by parentheses around the frequency of data in that category.
Anterior Radius of the Left Otolith
for Female Stone Flounder
A stem leaf plot is combination of two columns. Last significant digit of each data should be placed in the column of leaves and others digit in the column of stem. Each stem should be listed in numerical order and each leaf should be placed next to its stem.
Numbers of fish are clearly mentioned in the stem-and-leaf plot.
Numbers of fish are 85.
Conclusion:
Thus, the numbers of fish were 85.
(b)
To find:
The smallest and largest measurements recorded.
Answer to Problem 29E
Solution:
The smallest and largest measurements recorded are 1.82 mm and 3.76 mm respectively.
Explanation of Solution
The following stem and leaf plot from a study published in an academic journal, which displays the measurements of the anterior radius of the left otolith for female stone flounder obtained from commercial capture in Tokyo Bay. The numbers to the left of the stems in this graph represent the cumulative frequencies of the data to the closest end. The middle stem is denoted by parentheses around the frequency of data in that category.
Anterior Radius of the Left Otolith
for Female Stone Flounder
A stem leaf plot is combination of two columns. Last significant digit of each data should be placed in the column of leaves and others digit in the column of stem. Each stem should be listed in numerical order and each leaf should be placed next to its stem.
18 is the lowest number in the column of stem and 2 is the lowest leaf corresponding to the lowest stem 18.
The smallest measurement is 1.82 mm.
37 is the highest number in the column of stem and 6 is the highest leaf corresponding to the highest stem 37.
The highest measurement is 3.76 mm.
Conclusion:
Thus, the smallest and largest measurements recorded are 1.82 mm and 3.76 mm respectively.
(c)
To find:
The most often occurred length(s).
Answer to Problem 29E
Solution:
The most often occurred length(s) are 2.99 mm and 3.08 mm.
Explanation of Solution
The following stem and leaf plot from a study published in an academic journal, which displays the measurements of the anterior radius of the left otolith for female stone flounder obtained from commercial capture in Tokyo Bay.
The numbers to the left of the stems in this graph represent the cumulative frequencies of the data to the closest end. The middle stem is denoted by parentheses around the frequency of data in that category.
Anterior Radius of the Left Otolith
for Female Stone Flounder
A stem leaf plot is combination of two columns. Last significant digit of each data should be placed in the column of leaves and others digit in the column of stem. Each stem should be listed in numerical order and each leaf should be placed next to its stem.
The digit 9 occurs 3 times in the leaves column corresponding to the stem 29 and the digit 8 occurs 3 times in the leaves column corresponding to the stem 30.
The lengths 2.99 mm and 3.08 mm each occurred 3 times in data set.
Most often occurred lengths are 2.99 mm and 3.08 mm.
Conclusion:
Thus, the most often occurred length(s) are 2.99 mm and 3.08 mm.
(d)
To find:
Whether more fish have an otolith radius shorter or longer than the middle length category.
(d)
Answer to Problem 29E
Solution:
It is observed that more fish have otolith radius greater than the middle length category that is 42 as opposed to smaller that is 36.
Explanation of Solution
The following stem and leaf plot from a study published in an academic journal, which displays the measurements of the anterior radius of the left otolith for female stone flounder obtained from commercial capture in Tokyo Bay.
The numbers to the left of the stems in this graph represent the cumulative frequencies of the data to the closest end. The middle stem is denoted by parentheses around the frequency of data in that category.
Anterior Radius of the Left Otolith
for Female Stone Flounder
A stem leaf plot is combination of two columns. Last significant digit of each data should be placed in the column of leaves and others digit in the column of stem. Each stem should be listed in numerical order and each leaf should be placed next to its stem.
It is observed that more fish have otolith radius greater than the middle length category that is 42 as opposed to smaller that is 36.
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Chapter 2 Solutions
Beginning Statistics, 2nd Edition
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