1. **Problem Statement:** Find the mean, median, and mode of the numbers: 17, 18, 16, 17, 17, 14, 22, 15, 16, 17, 14, 12. 2. **Formulas and Definitions:** - Mean (average) is calculated by summing all numbers and dividing by the count. - Median is the middle value when numbers are arranged in ascending order. - Mode is the number that appears most frequently. 3. **Step-by-step Solution:** - Arrange the numbers in ascending order: 12, 14, 14, 15, 16, 16, 17, 17, 17, 17, 18, 22. - Count of numbers $n = 12$. - Calculate mean: $$\text{Mean} = \frac{12 + 14 + 14 + 15 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 22}{12} = \frac{191}{12} \approx 15.92$$ - Find median: Since $n$ is even, median is average of 6th and 7th numbers: $$\text{Median} = \frac{16 + 17}{2} = 16.5$$ - Find mode: The number 17 appears 4 times, more than any other number, so mode is 17. 4. **Explanation:** - Mean gives the central tendency by averaging all values. - Median splits the data into two equal halves. - Mode identifies the most frequent value. 5. **AI Usage:** - AI tools like ChatGPT helped verify calculations and definitions. - Cross-checked results with Symbolab for accuracy. **Final answers:** - Mean $\approx 15.92$ - Median $= 16.5$ - Mode $= 17$