Subjects statistics

Median Mode Range Ba1417

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1. **State the problem:** We are given a list of radio-controlled car prices: 115, 64, 31, 88, 99, 89, 149, 55, 23, 67. We need to find the median, mode, and range of these prices. 2. **Median:** The median is the middle value when the data is ordered from least to greatest. If there is an even number of data points, the median is the average of the two middle numbers. 3. **Mode:** The mode is the value that appears most frequently. If no value repeats, there is no mode. 4. **Range:** The range is the difference between the maximum and minimum values. 5. **Order the data:** $$23, 31, 55, 64, 67, 88, 89, 99, 115, 149$$ 6. **Find the median:** There are 10 numbers (even), so median is average of 5th and 6th values: $$\text{Median} = \frac{67 + 88}{2} = \frac{155}{2} = 77.5$$ 7. **Find the mode:** Each number appears once, so there is no mode. 8. **Find the range:** $$\text{Range} = 149 - 23 = 126$$ **Final answers:** - Median: $77.5$ - Mode: No Mode - Range: $126$