To find the mean (average) of a set of data, you sum up all the numbers in the set and then divide by the total count of numbers. Let's calculate the mean for the given data set:
\[ \text{Data Set: } 7, -3, 4, -2, 5, -9, 4, 8, -6, 12 \]
1. Sum of all numbers:
\[ 7 + (-3) + 4 + (-2) + 5 + (-9) + 4 + 8 + (-6) + 12 = 20 \]
2. Total count of numbers: There are 10 numbers in the data set.
3. Mean (Average):
\[ \text{Mean} = \frac{20}{10} = 2 \]
Therefore, the mean of the given data set is 2