To find the joint relative frequency of students who use a mobile device in an online class, follow these steps:
1. Identify the relevant data:
- The number of students who use a mobile device in an online class: 64.
- The total number of students: 200.
2. Understand the concept of joint relative frequency:
- Joint relative frequency represents the proportion of a specific group relative to the total number of observations. In this case, it is the proportion of students who use a mobile device in an online class relative to the total number of students.
3. Calculate the joint relative frequency:
- Joint relative frequency is given by the formula:
[tex]\[
\text{Joint Relative Frequency} = \left( \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \right) \times 100
\][/tex]
- Substituting the given values:
[tex]\[
\text{Joint Relative Frequency} = \left( \frac{64}{200} \right) \times 100
\][/tex]
4. Perform the division:
[tex]\[
\frac{64}{200} = 0.32
\][/tex]
5. Multiply by 100 to convert to percentage:
[tex]\[
0.32 \times 100 = 32
\][/tex]
6. Result:
- The joint relative frequency of students who use a mobile device in an online class is [tex]\( 32\% \)[/tex].
Therefore, the correct answer is [tex]\( 32\% \)[/tex].
