To determine the marginal frequencies for the two-way frequency table, we need to complete the table and summarize the total counts in each category. Here's the step-by-step breakdown:
1. Identify and sum up the counts for males:
- Males 6' or over: 14
- Males under 6': 88
Thus:
- Total males = 14 + 88 = 102
2. Determine the total number of people and use it to find the total number of females:
- Total people = 200
- Total males = 102
Thus:
- Total females = 200 - 102 = 98
3. Identify the count for females 6' or over, and determine the count for females under 6':
- Females 6' or over: 2
- Females under 6' = 98 - 2 = 96
4. Calculate the marginal frequencies:
- Total people 6' or over: Males 6' or over + Females 6' or over = 14 + 2 = 16
- Total people under 6': Males under 6' + Females under 6' = 88 + 96 = 184
Now, we can complete the table and include the marginal frequencies:
[tex]\[
\begin{tabular}{|l|c|c|c|}
\hline & $6^{\prime}$ or over & Under $6^{\prime}$ & Total \\
\hline Male & 14 & 88 & 102 \\
\hline Female & 2 & 96 & 98 \\
\hline Total & 16 & 184 & 200 \\
\hline
\end{tabular}
\][/tex]
This table correctly shows the marginal frequencies for each category.
