Subjects statistics

Median Mode Range 067De1

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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. Order the data: 23, 31, 55, 64, 67, 88, 89, 99, 115, 149. Since there are 10 values (even number), the median is the average of the 5th and 6th values. $$\text{Median} = \frac{67 + 88}{2} = \frac{155}{2} = 87.5$$ 3. **Mode:** The mode is the value that appears most frequently. Check frequencies: all values appear once, so there is no mode. 4. **Range:** The range is the difference between the maximum and minimum values. $$\text{Range} = 149 - 23 = 126$$ **Final answers:** - Median: 87.5 - Mode: No mode - Range: 126