The sum of 10 numbers is 576. Find their average.

Concept — The arithmetic mean (average) of a group of numbers is their total shared equally among all of them: Average = Sum ÷ Count. "Count" here means how many numbers are being averaged, never the size of any single number. Read backwards, the same identity gives Sum = Average × Count, so a total and an average always determine each other once the count is fixed.

Applying it to the numbers given here —

1. Sum of the numbers = 576 (this is the total the question states).

2. Count of the numbers = 10 (this is how many numbers make up that total).

3. Average = Sum ÷ Count = 576 ÷ 10.

4. Dividing by 10 moves the decimal point one place to the left, so 576 ÷ 10 = 57.6.

Cross-check — Multiply the result back by the count: 57.6 × 10 = 576, which reproduces exactly the total stated in the question, so the division was carried out correctly. As a rough second check, the average of ten numbers must be about one-tenth of their total, and one-tenth of 576 lies in the high fifties.

Hence the average of the 10 numbers is 57.6.