Answered

The relative frequency table below displays the proportion of 40 residents in an apartment complex who prefer certain social media sites.

\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
0.10 & 0.25 & 0.35 & 0.30 \\
\hline
\end{tabular}

Which of the following is the corresponding frequency table?

A.
\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
10 & 25 & 35 & 30 \\
\hline
\end{tabular}

B.
\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
8 & 12 & 10 & 10 \\
\hline
\end{tabular}

C.
\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
4 & 14 & 10 & 12 \\
\hline
\end{tabular}

D.
\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
4 & 10 & 14 & 12 \\
\hline
\end{tabular}



Answer :

GinnyAnswer
To determine the corresponding absolute frequency table from the given relative frequencies, follow these steps:

1. Know the total number of residents: The total number of residents is given as 40.

2. Identify the relative frequencies: The relative frequencies for each social media site are as follows:
- Upstart: 0.10
- Aster: 0.25
- Babble: 0.35
- Techy: 0.30

3. Calculate the absolute frequencies:
- For Upstart, multiply the total number of residents by the relative frequency: [tex]\(0.10 \times 40 = 4\)[/tex]
- For Aster, multiply the total number of residents by the relative frequency: [tex]\(0.25 \times 40 = 10\)[/tex]
- For Babble, multiply the total number of residents by the relative frequency: [tex]\(0.35 \times 40 = 14\)[/tex]
- For Techy, multiply the total number of residents by the relative frequency: [tex]\(0.30 \times 40 = 12\)[/tex]

4. Generate the absolute frequency table:
- Upstart: 4
- Aster: 10
- Babble: 14
- Techy: 12

By calculating the absolute frequencies, we find that the corresponding frequency table is:

\begin{tabular}{|c|c|c|c|}
\hline Upstart & Aster & Babble & Techy \\
\hline 4 & 10 & 14 & 12 \\
\hline
\end{tabular}

Thus, the correct absolute frequency table is the last one.

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