Mat 143 Module 2 Lab Part 1 Creating and Analyzing a Two-Way Table Objective: Wr
ID: 3199422 • Letter: M
Question
Mat 143 Module 2 Lab Part 1
Creating and Analyzing a Two-Way Table
Objective: Writing Answers to Questions in Complete Sentences
SCROLL DOWN (USING THE SCROLL BAR AT RIGHT) TO READ ALL OF PART 1 BEFORE
ENTERING ANYTHING IN THE TEXT BOX BELOW
This Lab is an extension of your homework for Chapter 3, where you work with percentages and
two-way tables, both of which are used in various ways in many facets of everyday life.
In Part 1 I will show you an example of how to use a given set of information to create a table, then answer various questions using those table values, and finish by writing the anwers in a complete sentence.
You will then be asked to answer some more questions using the same table, and then write the
numerical answers from your work in complete sentences to earn the credit for Part 1.
In Part 2 you will be asked to work through a similar exercise on your own, using a second set of
information. There will be some additional questions in Part 2 which will require you to analyze the
data a bit more thoroughly.
EXAMPLE
Creating and Analyzing a Two-Way Table
Suppose you called the Humane Society to adopt a puppy, and were told 20 puppies were available.
The person to whom you spoke said there were 8 white and 12 spotted puppies. When you said
that you were more interested in a female, you were informed that of the 9 female puppies, 5 were
white and 4 were spotted. We can use this information to create a two-way table which will
completely describe the possible puppy choices.
A two-way table gives information about two characteristics of the data set. From the given
information we know the gender (the puppies are either male or female), and the appearance
(either white or spotted). When you create a two-way table to display the data, you choose
one characteristic's possible values to label the interior rows of the table, and the other
characteristic's possible values to label the interior columns. The right-most column and the
bottom row give the totals for each value, and the overall total number of items (in this case, puppies)
is shown in the bottom right cell of the table.
My table is shown below, with the given information shown in bold. Note that we were
not told how many male puppies there were, or whether they were spotted or white. However,
we can easily calculate those values (shown in red in the table) by entering the given information into
the table, and then using the relationships between the known values and the unkown values to fill in
the blanks. In this first table I have added descriptions in parentheses to the numerical cell values to
make it very clear what each of the numbers represent.
20 PUPPIES
WHITE
SPOTTED
TOTAL
FEMALE
5 (WHITE FEMALES)
4 (SPOTTED FEMALES)
9 (TOTAL FEMALES)
MALE
3 (WHITE MALES)
8 (SPOTTED MALES)
11 (TOTAL MALES)
TOTAL
8 (TOTAL WHITE)
12 (TOTAL SPOTTED)
20 (TOTAL PUPPIES)
This is not done in a standard two-way table. I just wanted to point out that the numbers on the
inside of the table represent two characteristics of the data, and the numbers in the exterior TOTAL
rows and columns represent only one characteristic of the data.
The standard version of this two-way table would look like this:
20 PUPPIES
WHITE
SPOTTED
TOTAL
FEMALE
5
4
9
MALE
3
8
11
TOTAL
8
12
20
Next, let's use this table to answer the following questions:
Round all answers to the nearest tenth (one decimal place) as needed.
Note: for percentage answers, this means you will need to calculate the decimal form of the answer,
round the decimal answer to 3 decimal places if needed, and then convert from decimal form to
percentage form. When you write the numerical answer in a sentence, it is optional to write out the numbers in words. As you will see from my answers, this is typically not done for numbers which are not whole numbers.
EXAMPLE QUESTIONS AND ANSWERS:
1. What percentage of the puppies are spotted females?
Numerical answer: StartFraction 4 SPOTTED FEMALES Over 20 PUPPIES EndFraction equals StartFraction 4 Over 20 EndFraction equals 0.2 equals 20 %4 SPOTTED FEMALES20 PUPPIES= 420= 0.2=20%
Final answer:
Here are three possible sentences which all answer the question.
Twenty percent of the puppies are spotted females.
Spotted females make up 20% of the puppies.
Out of all the puppies, the percentage of spotted females is 20%.
2. Of the female puppies, what percentage are white?
Numerical answer: StartFraction 5 WHITE FEMALES Over 9 FEMALE PUPPIES EndFraction equals five ninths equals 0.556 equals 55.6 %5 WHITE FEMALES9 FEMALE PUPPIES= 59= 0.556=55.6%
Final answer:
Here are three possible sentences which all answer the question.
Of the female puppies, 55.6% are white.
White puppies comprise 55.6 percent of the females.
55.6% of the female puppies are white.
3. What percentage of the white puppies are female?
Answer: StartFraction 5 WHITE FEMALES Over 8 WHITE PUPPIES EndFraction equals five eighths equals 0.625 equals 62.5 %5 WHITE FEMALES8 WHITE PUPPIES= 58= 0.625=62.5%
Final answer:
Here are three possible sentences which all answer the question.
Of the white puppies, 62.5% are
female.
Females make up 62.5 percent of the white
puppies.
62.5% of the white puppies are
female.
4. White males make up what percentage of the puppies?
Answer: StartFraction 3 WHITE MALES Over 20 PUPPIES EndFraction equals StartFraction 3 Over 20 EndFraction equals 0.15 equals 15 %3 WHITE MALES20 PUPPIES= 320= 0.15=15%
Final answer:
Here are three possible sentences which all answer the question.
Out of the twenty puppies, fifteen percent are white
males.
White males make up 15% of the
puppies.
15 percent of the puppies are white males.
************************************************************************
OK, it is time for you to earn the points for Part 1.
This part of the Lab is intended to serve as part of the required writing component of this math course.
All you have to do is to is find the numerical answers to the questions numbered 1 through 4
below ,
and then state your numerical result in a correctly written complete sentence.
Questions to be answered for credit:
1. What percentage of the puppies are spotted males?
2. Of the male puppies, what percentage are white?
3. What percentage of the white puppies are male?
4. White females make up what percentage of the puppies?
For this section type all four of your sentence answers in the single answer box below.
Number your sentences 1, 2, 3, and 4 to match the four questions TO BE ANSWERED FOR CREDIT directly above.
Please follow the directions carefully, and check your responses carefully for any type of errors in sentence structure or spelling before you submit them.
Each of the four sentences counts 10 points out the 40 points possible out of 100 points for this part of the Lab.
20 PUPPIES
WHITE
SPOTTED
TOTAL
FEMALE
5 (WHITE FEMALES)
4 (SPOTTED FEMALES)
9 (TOTAL FEMALES)
MALE
3 (WHITE MALES)
8 (SPOTTED MALES)
11 (TOTAL MALES)
TOTAL
8 (TOTAL WHITE)
12 (TOTAL SPOTTED)
20 (TOTAL PUPPIES)
Explanation / Answer
Table of 20 Puppies
20 PUPPIES
WHITE
SPOTTED
TOTAL
FEMALE
5
4
9
MALE
3
8
11
TOTAL
8
12
20
1. What percentage of the puppies are spotted males?
Numerical answer: StartFraction 8 SPOTTED MALES Over 20 PUPPIES EndFraction equals StartFraction 8 Over 20
EndFraction equals 0.4 equals 40 %
8 SPOTTED MALES 20 PUPPIES = 820 = 0.40 = 40%
Final answer:
Forty percent of the puppies are spotted males.
2. Of the male puppies, what percentage are white?
Numerical answer: StartFraction 3 WHITE MALES Over 11 MALE PUPPIES EndFraction equals three elevenths
Endfraction equals 0.272727 equals 27.27%
3 WHITE MALES 11 MALE PUPPIES= 311 = 0.272727 = 27.27%
Final answer:
White puppies comprise 27.27% percent of the males.
3. What percentage of the white puppies are male?
Numerical Answer: StartFraction 3 WHITE MALES Over 8 WHITE PUPPIES EndFraction equals three eighths equals 0.375 equals 37.5%
3 WHITE MALES 8 WHITE PUPPIES= 38= 0.375 = 37.5%
Final answer:
37.5% of the white puppies are male.
4. White females make up what percentage of the puppies?
Numerical Answer: StartFraction 5 WHITE FEMALES Over 20 PUPPIES EndFraction equals StartFraction 5 Over 20
EndFraction equals 0.25 equals 25 %
5 WHITE FEMALES 20 PUPPIES= 520 = 0.25 = 25%
Final answer:
Out of the twenty puppies, twenty five percent are white females.
Table of 20 Puppies
20 PUPPIES
WHITE
SPOTTED
TOTAL
FEMALE
5
4
9
MALE
3
8
11
TOTAL
8
12
20