Calculate Average: Verify if 10 Equals Mean of (8,11,10,7)

Let's solve the problem step by step:

• Step 1: Calculate the sum of the numbers. The numbers given are $8, 11, 10,$ and $7$.

Sum = $8 + 11 + 10 + 7 = 36$.

• Step 2: Find the average using the formula $\frac{\text{Sum}}{\text{Number of elements}}$.

The number of elements is $4$.

Average = $\frac{36}{4} = 9$.

• Step 3: Compare the average with $10$.

Since $9$ is less than $10$, we have $9 < 10$.

Therefore, the correct sign to fill in the blank is $\gt$ because we are comparing $10$ (the number on the left) with $9$ (the average) and since $10$ is greater, $10\gt8,11,10,7$.