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Students in three levels of art classes participated in the regional art competition. The two-way table below shows the number of pieces entered that were created using different media along with the level of the students who submitted the piece.

\begin{tabular}{|l|c|c|c|c|c|}
\hline
& Paint & Clay & Pastels & Digital & Total \\
\hline
Art 1 & 43 & 22 & 26 & 12 & 103 \\
\hline
Art 2 & 34 & 37 & 14 & 24 & 109 \\
\hline
Art 3 & 22 & 20 & 18 & 28 & 88 \\
\hline
Total & 99 & 79 & 58 & 64 & 300 \\
\hline
\end{tabular}

Order the relative frequencies from least to greatest:

A. The percentage of Art 2 students who entered digital pieces.
B. The percentage of all entries that were painted.
C. The percentage of clay pieces entered by Art 1 students.
D. The percentage of pieces entered by Art 3 students.


Sagot :

Let's analyze the information given, focusing on the problem of ordering the relative frequencies from least to greatest for various percentages extracted from the data.

The relevant figures from the table and their interpretations are as follows:

1. The percentage of Art 2 students who entered clay pieces:
- The number of clay pieces entered by Art 2 students: 37
- Total number of entries by Art 2 students: 109
- Calculation: [tex]\(\left(\frac{37}{109}\right) \times 100 \approx 33.95\%\)[/tex]

2. The percentage of all entries that were painted pieces:
- The total number of painted pieces: 99
- Total number of entries: 300
- Calculation: [tex]\(\left(\frac{99}{300}\right) \times 100 \approx 33.0\%\)[/tex]

3. The percentage of clay pieces entered:
- The total number of clay pieces: 79
- Total number of entries: 300
- Calculation: [tex]\(\left(\frac{79}{300}\right) \times 100 \approx 26.33\%\)[/tex]

4. The percentage of digital pieces entered by Art 1 students:
- The number of digital pieces entered by Art 1 students: 12
- Total number of entries by Art 1 students: 103
- Calculation: [tex]\(\left(\frac{12}{103}\right) \times 100 \approx 11.65\%\)[/tex]

5. The percentage of entries submitted by Art 3 students:
- The total number of entries by Art 3 students: 88
- Total number of entries: 300
- Calculation: [tex]\(\left(\frac{88}{300}\right) \times 100 \approx 29.33\%\)[/tex]

Now, we need to order these relative frequencies from least to greatest. The relevant figures are:

- 11.65% (Digital pieces by Art 1 students)
- 26.33% (Clay pieces)
- 33.0% (Painted pieces)
- 33.95% (Clay pieces by Art 2 students)

Thus, the order from least to greatest:
1. 11.65% (Digital pieces by Art 1 students)
2. 26.33% (Clay pieces)
3. 33.0% (Painted pieces)
4. 33.95% (Clay pieces by Art 2 students)