Answer :
To determine the joint relative frequency of students who use a computer in a traditional class, let's follow these steps:
1. Step 1: Identify the number of students using a computer for a traditional class.
- From the table, the number of students using a computer for a traditional class is [tex]\(28\)[/tex].
2. Step 2: Identify the total number of students.
- The total number of students is [tex]\(200\)[/tex].
3. Step 3: Calculate the joint relative frequency.
- The joint relative frequency is calculated by dividing the number of students using a computer for a traditional class by the total number of students and then converting this ratio to a percentage.
[tex]\[ \text{Joint relative frequency} = \left( \frac{28}{200} \right) \times 100 \][/tex]
4. Step 4: Calculate the result.
- Calculate the division first:
[tex]\[ \frac{28}{200} = 0.14 \][/tex]
- Now, convert the ratio to a percentage by multiplying by 100:
[tex]\[ 0.14 \times 100 = 14\% \][/tex]
5. Step 5: Find the nearest percentage value from the given options.
- The given options are [tex]\(45 \%\)[/tex], [tex]\(37 \%\)[/tex], [tex]\(28 \%\)[/tex], and [tex]\(14 \%\)[/tex].
6. Step 6: Determine the correct option.
- The calculated joint relative frequency is [tex]\(14\%\)[/tex].
Therefore, the joint relative frequency of students who use a computer in a traditional class is [tex]\(14\%\)[/tex], and the correct option from the given ones is [tex]\(14\%\)[/tex].
1. Step 1: Identify the number of students using a computer for a traditional class.
- From the table, the number of students using a computer for a traditional class is [tex]\(28\)[/tex].
2. Step 2: Identify the total number of students.
- The total number of students is [tex]\(200\)[/tex].
3. Step 3: Calculate the joint relative frequency.
- The joint relative frequency is calculated by dividing the number of students using a computer for a traditional class by the total number of students and then converting this ratio to a percentage.
[tex]\[ \text{Joint relative frequency} = \left( \frac{28}{200} \right) \times 100 \][/tex]
4. Step 4: Calculate the result.
- Calculate the division first:
[tex]\[ \frac{28}{200} = 0.14 \][/tex]
- Now, convert the ratio to a percentage by multiplying by 100:
[tex]\[ 0.14 \times 100 = 14\% \][/tex]
5. Step 5: Find the nearest percentage value from the given options.
- The given options are [tex]\(45 \%\)[/tex], [tex]\(37 \%\)[/tex], [tex]\(28 \%\)[/tex], and [tex]\(14 \%\)[/tex].
6. Step 6: Determine the correct option.
- The calculated joint relative frequency is [tex]\(14\%\)[/tex].
Therefore, the joint relative frequency of students who use a computer in a traditional class is [tex]\(14\%\)[/tex], and the correct option from the given ones is [tex]\(14\%\)[/tex].
