To solve this problem, we need to convert the given percentages of social media site usage into frequencies and compare them with the provided options to find the correct corresponding frequency table.
Here's the step-by-step solution:
1. Identify the given percentages:
The table provides the following usage percentages for each social media site:
- Upstart: 0.10
- Aster: 0.25
- Babble: 0.35
- Techy: 0.30
2. Convert the percentages to frequencies:
To convert these percentages into frequencies, we multiply each percentage by 100 (since frequencies are typically out of 100):
- Upstart: [tex]\(0.10 \times 100 = 10\)[/tex]
- Aster: [tex]\(0.25 \times 100 = 25\)[/tex]
- Babble: [tex]\(0.35 \times 100 = 35\)[/tex]
- Techy: [tex]\(0.30 \times 100 = 30\)[/tex]
3. Write down the converted frequencies:
The converted frequencies are:
- Upstart: 10
- Aster: 25
- Babble: 35
- Techy: 30
4. Compare the frequencies with the given tables:
We now compare these frequencies to the three provided frequency tables to determine the correct one.
- Option 1:
[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
10 & 25 & 35 & 30 \\
\hline
\end{tabular}
\][/tex]
- Option 2:
[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
8 & 12 & 10 & 10 \\
\hline
\end{tabular}
\][/tex]
- Option 3:
[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
Unstart & Aster & Babble & Techy \\
\hline
4 & 14 & 10 & 12 \\
\hline
\end{tabular}
\][/tex]
5. Determine the correct table:
The frequencies we calculated, 10, 25, 35, and 30, perfectly match the frequencies in Option 1.
Therefore, the correct frequency table corresponding to the given percentages is:
[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
10 & 25 & 35 & 30 \\
\hline
\end{tabular}
\][/tex]
