1. **Problem Statement:** We are given reaction times (in milliseconds) of 30 participants and asked to construct a frequency distribution table with tally marks. 2. **Understanding Frequency Distribution:** A frequency distribution groups data into classes or intervals and shows how many data points fall into each class. 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: Determine the range and class intervals** - Minimum value = 238 - Maximum value = 266 - Range = $266 - 238 = 28$ Choose class width, for example 5 milliseconds. Classes: - 235 - 239 - 240 - 244 - 245 - 249 - 250 - 254 - 255 - 259 - 260 - 264 - 265 - 269 5. **Step 3: Tally the data into classes** - 235 - 239: 238 (1) - 240 - 244: None (0) - 245 - 249: 245, 248, 249, 247, 248 (5) - 250 - 254: 252, 250, 251, 251, 253, 252, 254 (7) - 255 - 259: 255, 256, 258, 257, 259, 258, 255, 257, 259 (9) - 260 - 264: 260, 262, 263, 261, 260, 264 (6) - 265 - 269: 266, 265 (2) 6. **Step 4: Construct the frequency distribution table with tally marks** | Class Interval | Tally | Frequency | |----------------|-------------|-----------| | 235 - 239 | | | 1 | | 240 - 244 | | 0 | | 245 - 249 | ||||| | 5 | | 250 - 254 | ||||| || | 7 | | 255 - 259 | ||||| ||| | 9 | | 260 - 264 | ||||| | | 6 | | 265 - 269 | || | 2 | 7. **Explanation:** Each tally mark represents one data point in the class. Groups of five tally marks are shown as four vertical lines with a diagonal line crossing them. **Final answer:** The frequency distribution table with tally marks is shown above.