Calculate Average: Finding Mean Before and After Adding 2 to {10,12,8}

To solve this problem, we'll follow these steps:

• Step 1: Calculate the average of the original numbers.
• Step 2: Calculate the average of the increased numbers.
• Step 3: Compare the averages.

Now, let's work through each step:

Step 1: The original numbers are 10, 12, and 8.
Calculate their sum: $10 + 12 + 8 = 30$.
Divide the sum by the number of numbers: $\frac{30}{3} = 10$.
Therefore, the average of the original numbers is $10$.

Step 2: The increased numbers are 12, 14, and 10.
Calculate their sum: $12 + 14 + 10 = 36$.
Divide the sum by the number of numbers: $\frac{36}{3} = 12$.
Therefore, the average of the increased numbers is $12$.

Step 3: Compare the averages.
The average increased from $10$ to $12$, which is an increase by $2$.

Conclusion: Since the average increases by $2$, the answer is that the average of the new group of numbers is $12$, and it increases by $2$ from the original average.

Therefore, the correct answer is choice 1:
Average = 10
The average will increase by 2.