Find the mode, median, mean, and range for each data set. Round the mean to two decimals places, where necessary.

The median, mean, and mode of the data set are 5, 4.8, and both 4 and 5 respectively.

Step-by-step explanation:

To find the median of a data set, line up all values from greatest to least and find the number in the center. For example, in the set 1; 2; and 3, 2 would be the median. In this case, the order would be 2, 4, 4, 4, 5, 5, 5, 6, 6, 7. The two numbers in the middle are 5 and 5, their average is 5, so that would be the median. The mean of a data set is the average of all data values in a set. In this case, there are 10 data values, and their total sum is 48, so the mean of this data set is 4.8. The mode of a data set is the value that occurs the most in a set. In this case, 2 occurs once, 4 occurs three times, 5 occurs three times, 6 occurs twice, and 7 occurs once, so the mode of this data set is both 4 and 5.