1. **Stating the problem:** We are given the numbers 58, 76, 40, 35, 46, 50, 0, and 100. We want to analyze these numbers, which could involve finding measures like the mean, median, mode, or range. 2. **Calculating the mean (average):** The mean is found by summing all numbers and dividing by the count of numbers. $$\text{Mean} = \frac{58 + 76 + 40 + 35 + 46 + 50 + 0 + 100}{8}$$ 3. **Sum the numbers:** $$58 + 76 = 134$$ $$134 + 40 = 174$$ $$174 + 35 = 209$$ $$209 + 46 = 255$$ $$255 + 50 = 305$$ $$305 + 0 = 305$$ $$305 + 100 = 405$$ 4. **Divide by the number of values (8):** $$\text{Mean} = \frac{405}{8} = 50.625$$ 5. **Calculating the median:** The median is the middle value when the numbers are ordered. Order the numbers: $$0, 35, 40, 46, 50, 58, 76, 100$$ Since there are 8 numbers (even), the median is the average of the 4th and 5th numbers: $$\text{Median} = \frac{46 + 50}{2} = 48$$ 6. **Calculating the range:** The range is the difference between the maximum and minimum values. $$\text{Range} = 100 - 0 = 100$$ **Final answers:** - Mean = 50.625 - Median = 48 - Range = 100 These measures help summarize the data set.