Let's fill in the missing values in the frequency table step-by-step and complete the statement.
1. Starting with the Seniors row:
- We know that 4 seniors want "More Color Photos".
- We denote the unknown number of seniors who prefer "More Candid Pictures" as a box.
- 9 seniors want "Lower Price".
- The total number of seniors is denoted as another box.
2. From the totals:
- Total number of students surveyed: 80.
- Total number of students wanting "More Color Photos": 14.
- Total number of students wanting "More Candid Pictures": 30.
- Total number of students wanting "Lower Price": This is given by combining 27 underclassmen and the 9 seniors (27 + 9 = 36 (however, this requires adjustment based on the total students reported correctly which is `(80 - 44)`= `36`.
3. Given total number of underclassmen is 55.
By subtracting the known subcategories from the totals, we can find the unknowns for the seniors:
- Senior students preferring "More Candid Pictures" is [tex]\( 30 - 18 = 12 \)[/tex],
4. Determine the total number of seniors:
- Total seniors = 4 (Color Photos) + 12 (Candid Pictures) + 9 (Lower Price).
- Total seniors = 4 + 12 + 9 = 25.
5. Finally, we implement the total lower price and update:
- Total lower price = 80 - 55 -> 25, thus making final value `44`
Thus, the completed table looks like:
\begin{tabular}{|c|c|c|c|c|}
\hline & \begin{tabular}{c}
More Color \\
Photos
\end{tabular} & \begin{tabular}{c}
More Candid \\
Pictures
\end{tabular} & Lower Price & Total \\
\hline Underclassmen & 10 & 18 & 27 & 55 \\
\hline Seniors & 4 & 12 & 9 & 25 \\
\hline Total & 14 & 30 & 44 & 80 \\
\hline
\end{tabular}
The percentage of seniors preferring "More Candid Pictures" is calculated as follows:
- Percentage = [tex]\(\frac{12 \text{ (More Candid Pictures)}}{25 \text{ (Total Seniors)}} \times 100\)[/tex]
- Percentage = [tex]\( \frac{12}{25} \times 100 = 48\% \)[/tex].
So, it can be concluded that 48% of the seniors would prefer to see more candid pictures in this year's edition of the yearbook.
