Final answer:
The mean of the given data set is 8.2775, the median is 8.29, and the mode is 8.23.
Step-by-step explanation:
The mean of the data set is calculated by finding the sum of all the values and dividing by the total number of values. For the given data set, the mean is 8.2775.
The median is the middle value when the data is arranged in ascending order. Since there are 16 values in the data set, the median is the average of the eighth and ninth values, which is 8.29.
The mode is defined as the value that appears most frequently in the data set. In this case, the mode is 8.23 as it appears three times, which is more than any other value.