Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.