Answered

The table shows data from a survey on college enrollment.

\begin{tabular}{|l|l|r|r|}
\hline Age Group & Male & Female & Marginal Total \\
\hline 18-24 & 5,640 & 6,432 & 12,072 \\
\hline 25-34 & 1,843 & 2,450 & 4,293 \\
\hline 35+ & 1,069 & 2,124 & 3,193 \\
\hline Total & 8,552 & 11,006 & 19,558 \\
\hline
\end{tabular}

The marginal total 4,293 is [tex]$\square$[/tex] . The relative frequency of females in the 35-plus age group compared with the total number of students, expressed as a percentage, is [tex]$\square$[/tex].



Answer :

GinnyAnswer
Let's carefully analyze the given data and statements to fill the blanks accurately.

1. Reviewing the table, we see that the total number of students enrollments in the age group [tex]$25-34$[/tex] is 4,293. This is called the "marginal total" for that age group as it sums both males and females within that specific age group.

Thus, the marginal total 4,293 is the total number of students in the age group 25-34.

2. Now, let's examine the relative frequency of females in the 35-plus age group compared with the total number of students. The total number of students is given as 19,558. In the 35-plus age group, there are 2,124 females.

The relative frequency is calculated as the number of females in the 35-plus age group divided by the total number of students, then multiplied by 100 to convert it to a percentage.

Hence, the relative frequency of females in the 35-plus age group compared with the total number of students, expressed as a percentage, is 10.86%.

Therefore, the filled blanks should be:
The marginal total 4,293 is the total number of students in the age group 25-34. The relative frequency of females in the 35-plus age group compared with the total number of students, expressed as a percentage, is 10.86%.

Other Questions