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.
