Final answer:
The mean for the data set (2, 5, 7, 8, 11, 11, 12) is calculated by summing up all the numbers and dividing by the count of numbers, which in this case is 8.
Step-by-step explanation:
To calculate the mean of a set of numbers, you add all the numbers together and then divide by the count of numbers in the set. For the set given (2, 5, 7, 8, 11, 11, 12), we add all numbers:
2 + 5 + 7 + 8 + 11 + 11 + 12 = 56
Then, we divide the sum by the number of data points (7 in this case):
56 ÷ 7 = 8
So, the mean for this set of data is 8.