Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Question 8 of 10

The heights of 200 adults were recorded and divided into two categories.

[tex]\[
\begin{tabular}{|c|c|c|}
\hline & $6 ^{\prime}$ or over & Under $6 ^{\prime}$ \\
\hline Male & 12 & 86 \\
\hline Female & 3 & 99 \\
\hline
\end{tabular}
\][/tex]

Which two-way frequency table correctly shows the marginal frequencies?

Sagot :

GinnyAnswer
To construct the correct two-way frequency table with marginal frequencies for the given problem, let's go through the information step-by-step:

1. Given Data:
- The number of males who are 6' or over: 12
- The number of males who are under 6': 86
- The number of females who are 6' or over: 3

2. Total Number of Adults:
- We know the total number of adults is 200.

3. Calculate the Total Number of Males:
- Total number of males = Males 6' or over + Males under 6'
- Total number of males = 12 + 86 = 98

4. Calculate the Total Number of Females:
- Total number of females = Total number of adults - Total number of males
- Total number of females = 200 - 98 = 102

5. Calculate the Number of Females Under 6':
- Total number of females under 6' = Total number of females - Females 6' or over
- Total number of females under 6' = 102 - 3 = 99

6. Calculate the Total Number of Adults 6' or Over:
- Total number of adults 6' or over = Males 6' or over + Females 6' or over
- Total number of adults 6' or over = 12 + 3 = 15

7. Calculate the Total Number of Adults Under 6':
- Total number of adults under 6' = Males under 6' + Females under 6'
- Total number of adults under 6' = 86 + 99 = 185

Now, we can construct the two-way frequency table with the marginal frequencies included:

[tex]\[ \begin{tabular}{|c|c|c|c|} \hline & $6 ^{\prime}$ or over & Under $6 ^{\prime}$ & Total \\ \hline Male & 12 & 86 & 98 \\ \hline Female & 3 & 99 & 102 \\ \hline Total & 15 & 185 & 200 \\ \hline \end{tabular} \][/tex]

This table accurately represents the marginal frequencies as well as the given data for the problem.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.