1. **State the problem:** Find the Mean of the wireless headphones prices and the Median, Mode, and Range of the controlled car prices. 2. **Mean formula:** The mean is the sum of all data values divided by the number of values. $$\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}$$ 3. **Calculate the Mean for wireless headphones prices:** Prices: 30, 50, 60, 70, 70, 70, 70, 80, 80, 90, 100, 100 Sum = 30 + 50 + 60 + 70 + 70 + 70 + 70 + 80 + 80 + 90 + 100 + 100 = 870 Number of values = 12 $$\text{Mean} = \frac{870}{12}$$ 4. **Simplify the fraction:** $$\text{Mean} = \frac{\cancel{870}}{\cancel{12}} = 72.5$$ 5. **Median, Mode, and Range formulas:** - Median: The middle value when data is ordered. - Mode: The most frequent value. - Range: Difference between maximum and minimum values. 6. **Order controlled car prices:** 23, 31, 64, 67, 85, 88, 89, 99, 115, 149 7. **Find Median:** Number of values = 10 (even), median is average of 5th and 6th values. 5th value = 85, 6th value = 88 $$\text{Median} = \frac{85 + 88}{2} = \frac{173}{2} = 86.5$$ 8. **Find Mode:** No repeated values, so no mode (or mode is none). 9. **Find Range:** $$\text{Range} = 149 - 23 = 126$$ **Final answers:** - Mean of wireless headphones prices: 72.5 - Median of controlled car prices: 86.5 - Mode of controlled car prices: None - Range of controlled car prices: 126