Explanation:

- The average of the original 10 numbers is 37. This means the total sum of these numbers is 370 (because 37 x 10 = 370).

- If each number is decreased by 2, the new total sum is 370 - (10 x 2) = 370 - 20 = 350.

- The count of numbers remains the same, which is 10.

- Therefore, the new average is 350 / 10 = 35.

- Option 1: 37 - This is the original average, not the new one after the decrease.

- Option 2: 35 - This is the correct new average after each number is decreased by 2.

- Option 3: 39 - This is irrelevant; it does not fit the calculation of the new average.

- Option 4: 32 - This is too low and not related to the decrease calculation.

Option 2: 35 is the correct answer.