1. **State the problem:** We have data set A with values 22, 23, 24, 25, 26 (15 values total). Data set B is created by adding 56 to each value in data set A. We need to compare the medians and ranges of data sets A and B. 2. **Recall definitions:** - Median is the middle value when data is ordered. - Range is the difference between the maximum and minimum values. 3. **Find median of data set A:** Since there are 15 values, the median is the 8th value when ordered. 4. **Since data set A values are between 22 and 26, and the dot plot shows frequencies, the median is 24 (middle value).** 5. **Create data set B by adding 56 to each value:** Each value in B is $x + 56$ where $x$ is from A. 6. **Median of data set B:** Adding a constant shifts all values by that constant, so median of B is median of A plus 56: $$\text{median}_B = 24 + 56 = 80$$ 7. **Range of data set A:** $$\text{range}_A = 26 - 22 = 4$$ 8. **Range of data set B:** $$\text{range}_B = (26 + 56) - (22 + 56) = 82 - 78 = 4$$ 9. **Conclusion:** Median of B is greater than median of A, but ranges are equal. **Answer:** Option C: The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.