Subjects statistics

Relative Frequency 3D3725

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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**.