Final answer:
The mean of the data set is 4.8, the median is 4.5, the mode is 4, and the range is 5.
Step-by-step explanation:
The mean of the data set is 4.8. To find the mean, add up all the numbers in the set and then divide the sum by the total number of values. In this case, (2+3+3+4+4+4+5+6+6+7)/10 = 48/10 = 4.8.
The median is 4.5. To find the median, first rearrange the data set in numerical order: 2, 3, 3, 4, 4, 4, 5, 6, 6, 7. Since there are 10 numbers in the set, the middle two numbers are the 5th and 6th numbers, which are 4 and 4. The median is the average of these two numbers, (4+4)/2 = 8/2 = 4.5.
The mode is 4, since it is the number that appears most frequently in the set.
The range is 5, which is found by subtracting the smallest value (2) from the largest value (7).