1. **Problem statement:** Find the mean, median, mode, and range for the first set of numbers: 83, 91, 52, 89, 91, 67, 87. 2. **Mean formula:** The mean is the sum of all numbers divided by how many numbers there are. 3. **Calculate the mean:** $$\text{Mean} = \frac{83 + 91 + 52 + 89 + 91 + 67 + 87}{7} = \frac{560}{7} = 80$$ 4. **Median formula:** The median is the middle number when the numbers are sorted from smallest to largest. 5. **Sort the numbers:** 52, 67, 83, 87, 89, 91, 91 6. **Find the median:** The middle number is the 4th number, which is 87. 7. **Mode formula:** The mode is the number that appears the most times. 8. **Find the mode:** 91 appears twice, more than any other number, so mode = 91. 9. **Range formula:** The range is the difference between the biggest and smallest numbers. 10. **Calculate the range:** $$\text{Range} = 91 - 52 = 39$$ **Final answers:** - Mean = 80 - Median = 87 - Mode = 91 - Range = 39 This explains how to find mean, median, mode, and range for the first set of numbers.