1. **Problem Statement:** We have marks of 25 students in a class test out of 5: 40, 0.8, 4.5, 1.3, 3.5, 5, 2.5, 4.0, 2.5, 1.6, 2.0, 4.6, 3.0, 8.5, 0.9, 1.0, 2.0, 2.0, 4.5, 2.5, 3.0, 7.5, 1.5, 1.5. We need to obtain a frequency table with discrete classes and relative frequencies. 2. **Important Note:** The marks 40, 8.5, and 7.5 are outliers since the test is out of 5. We will exclude these outliers to create meaningful classes between 0 and 5. 3. **Step: Define discrete classes:** We define classes as intervals: 0-1, 1-2, 2-3, 3-4, 4-5. 4. **Step: Count frequencies in each class:** - Class 0-1: marks 0.8, 0.9, 1.0 (count 3) - Class 1-2: marks 1.3, 1.5, 1.5, 1.6 (count 4) - Class 2-3: marks 2.0, 2.0, 2.0, 2.5, 2.5, 2.5, 3.0, 3.0 (count 8) - Class 3-4: marks 3.5, 4.0 (count 2) - Class 4-5: marks 4.5, 4.5, 4.6, 5 (count 4) 5. **Step: Calculate relative frequencies:** Relative frequency = frequency / total number of valid marks (excluding outliers). Total valid marks = 25 - 3 (outliers 40, 8.5, 7.5) = 22. - Class 0-1: $\frac{3}{22} \approx 0.136$ - Class 1-2: $\frac{4}{22} \approx 0.182$ - Class 2-3: $\frac{8}{22} \approx 0.364$ - Class 3-4: $\frac{2}{22} \approx 0.091$ - Class 4-5: $\frac{4}{22} \approx 0.182$ 6. **Frequency Table:** | Class | Frequency | Relative Frequency | |-------|-----------|--------------------| | 0-1 | 3 | 0.136 | | 1-2 | 4 | 0.182 | | 2-3 | 8 | 0.364 | | 3-4 | 2 | 0.091 | | 4-5 | 4 | 0.182 | This table summarizes the distribution of marks in discrete classes with relative frequencies.