1. **Stating the problem:** We have statistics for 75 players' weights: minimum 151, maximum 225, range 74, mean 191, median 195, and standard deviation 20.95. A player weighing 180 pounds is replaced by one weighing 130 pounds. We need to determine which statistics will change and how. 2. **Understanding the statistics:** - Mean is the average weight. - Range is maximum minus minimum. - Median is the middle value when data is ordered. - Standard deviation measures spread of data. 3. **Effect on mean:** Original total weight = mean \times number of players = $191 \times 75 = 14325$. New total weight = original total - 180 + 130 = $14325 - 180 + 130 = 14275$. New mean = $\frac{14275}{75} = 190.333...$ which is less than original mean 191. So, **mean decreases**. 4. **Effect on range:** Original range = 225 - 151 = 74. Replacing 180 with 130 does not affect minimum (151) or maximum (225). New range = 225 - 151 = 74, so **range remains the same**. 5. **Effect on median:** Median is the middle value (38th player) when sorted. Replacing 180 with 130 (which is less than 151) will add a smaller value but since median is 195, the middle value likely remains unchanged. So, **median remains the same**. 6. **Effect on maximum:** Maximum is 225, unchanged by replacing 180 with 130. So, **maximum remains the same**. 7. **Effect on standard deviation:** Replacing 180 with 130 increases spread from mean (130 is farther from mean than 180), so standard deviation will likely increase, not decrease. So, **standard deviation will not decrease**. **Final answers:** A. The mean will decrease. C. The median will remain the same. D. The maximum will remain the same.