1. **State the problem:** We are given a frequency distribution of scores and need to find the relative frequency for the fifth class interval, 180 - 184.
2. **Recall the formula for relative frequency:**
$$\text{Relative frequency} = \frac{\text{Frequency of the class}}{\text{Total frequency}}$$
3. **Calculate the total frequency:**
$$11 + 6 + 10 + 12 + 11 = 50$$
4. **Identify the frequency of the fifth class (180 - 184):**
$$11$$
5. **Calculate the relative frequency:**
$$\frac{11}{50}$$
6. **Show cancellation step:**
$$\frac{\cancel{11}}{\cancel{50}}$$ (no common factors to cancel, so fraction remains as is)
7. **Convert to decimal and round to two decimal places:**
$$\frac{11}{50} = 0.22$$
**Final answer:** The relative frequency for the fifth class is **0.22**.
Relative Frequency 3D3725
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.