Compare Averages: Determining if (9,3) = (9,7,2)

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

• Step 1: Calculate the average of the first group of numbers: $9, 3$.
• Step 2: Calculate the average of the second group of numbers: $9, 7, 2$.
• Step 3: Compare the two averages and choose the appropriate comparison sign.

Now, let's work through each step:

Step 1: Calculate the average of the first group.

Sum of first group: $9 + 3 = 12$

Number of elements: $2$

Average: $\frac{12}{2} = 6$

Step 2: Calculate the average of the second group.

Sum of second group: $9 + 7 + 2 = 18$

Number of elements: $3$

Average: $\frac{18}{3} = 6$

Step 3: Compare the two averages.

The average of the first group is $6$, and the average of the second group is also $6$.

Since both averages are equal, the appropriate comparison sign is $=$.

Therefore, the solution to the problem is $=$.