1. **Problem Statement:** We are given reaction times (in milliseconds) of 30 participants and asked to construct a frequency distribution table. 2. **Understanding Frequency Distribution:** A frequency distribution groups data into intervals (classes) and counts how many data points fall into each interval. 3. **Step 1: Organize the data** Data points: 238, 245, 252, 260, 248, 255, 250, 262, 249, 256, 263, 258, 251, 257, 259, 254, 261, 247, 253, 266, 260, 258, 255, 251, 264, 257, 252, 259, 265, 248 4. **Step 2: Find the range** $$\text{Range} = \text{Max} - \text{Min} = 266 - 238 = 28$$ 5. **Step 3: Decide number of classes** A common rule is to use between 5 and 10 classes. We choose 7 classes for clarity. 6. **Step 4: Calculate class width** $$\text{Class width} = \frac{\text{Range}}{\text{Number of classes}} = \frac{28}{7} = 4$$ We round up if needed, but 4 is exact here. 7. **Step 5: Define class intervals** Start from minimum 238: - 238 - 241 - 242 - 245 - 246 - 249 - 250 - 253 - 254 - 257 - 258 - 261 - 262 - 265 - 266 - 269 (to include max 266) 8. **Step 6: Tally frequencies** - 238-241: 238 (1) - 242-245: 245 (1) - 246-249: 248, 249, 247, 248 (4) - 250-253: 252, 250, 251, 251, 253, 252 (6) - 254-257: 255, 256, 257, 257, 254, 255 (6) - 258-261: 260, 259, 258, 259, 260, 258, 259, 261 (8) - 262-265: 262, 263, 264, 265 (4) - 266-269: 266 (1) 9. **Step 7: Construct the frequency distribution table** | Class Interval | Frequency | |----------------|-----------| | 238 - 241 | 1 | | 242 - 245 | 1 | | 246 - 249 | 4 | | 250 - 253 | 6 | | 254 - 257 | 6 | | 258 - 261 | 8 | | 262 - 265 | 4 | | 266 - 269 | 1 | This table summarizes the distribution of reaction times. **Final answer:** The frequency distribution table as shown above.