Compare Averages: Determine if 30,30,30 Equals 30,30,30,30,30

To solve this problem, follow these steps:

• Step 1: Calculate the average for the first group of numbers: 30, 30, 30.
• Step 2: Calculate the average for the second group of numbers: 30, 30, 30, 30, 30, 30.
• Step 3: Compare the two averages using the appropriate sign.

Now, let's calculate each step:

Step 1: The first group is 30, 30, 30.
The sum is $30 + 30 + 30 = 90$.
The count is 3.
The average is $\frac{90}{3} = 30$.

Step 2: The second group is 30, 30, 30, 30, 30, 30.
The sum is $30 + 30 + 30 + 30 + 30 + 30 = 180$.
The count is 6.
The average is $\frac{180}{6} = 30$.

Step 3: Compare the averages:
First average = 30 and Second average = 30. Thus, they are equal.

Therefore, the appropriate mathematical sign between the two groups is $\boxed{=}$.