Which of these data lists is bi-modal and has the mean double the median?

1. Understand the definitions: - **Bi-modal**: The data set has two modes (two values that appear most frequently). - **Median**: The middle value when the data is in order. - **Mean**: The sum of the values divided by the number of values. 2. Go through each option (A, B, C, D) and check both conditions. 3. **For option A:** Modes are 4 and 6 (bi-modal). Median is 6. Mean is (4+4+6+6+30)/5 = 10. 10 is not 2*6. 4. **For option B:** Mode is 6 (uni-modal). This option can be eliminated. 5. **For option C:** Modes are 6 and 24 (bi-modal). Median is 6. Mean is (0+6+6+24+24)/5 = 12. 12 is 2*6. This option satisfies both conditions. 6. **For option D:** Modes are 0 and 6 (bi-modal). Median is 6. Mean is (0+0+6+6+38)/5 = 10. 10 is not 2*6. 7. Conclude that C is the correct answer.