1. The problem asks for the definition of mode and to choose the data set where the median and mode are equal. 2. Definitions: - Mean: The sum of data entries divided by the number of entries. - Median: The middle value when data is ordered. - Mode: The data entry that occurs with the greatest frequency. - Outlier: A data entry far removed from others. 3. From the options, the correct definition of mode is: C. The data entry that occurs with the greatest frequency. 4. Now, find the median and mode for each data set: A. Data: 1, 1, 6, 6, 6, 8, 8 - Mode: 6 (occurs 3 times) - Median: Middle value of 7 numbers is the 4th number when ordered: 6 B. Data: 2, 2, 11, 11 - Mode: 2 and 11 (both occur twice, so bimodal) - Median: Average of 2nd and 3rd numbers: \frac{2+11}{2} = \frac{13}{2} = 6.5 C. Data: 4, 4, 4, 5, 6, 6, 6 - Mode: 4 and 6 (both occur 3 times, bimodal) - Median: 4th number is 5 D. Data: 2, 4, 6, 8, 8, 10 - Mode: 8 (occurs twice) - Median: Average of 3rd and 4th numbers: \frac{6+8}{2} = 7 5. Only data set A has median and mode equal to 6. Final answer: - Definition of mode: C - Data set where median = mode: A