Explanation:

- Start by understanding the initial scenario: the mean of 25 numbers equals 14. This implies that the total sum of the numbers is 25 multiplied by 14, which is 350.

- When 3 is added to each number, each number gets increased by a uniform amount. The total increase is 25 multiplied by 3, resulting in a total increase of 75.

- Therefore, the new total becomes 350 + 75 = 425.

- Calculate the new mean by taking this total of 425 and dividing it by 25. The result is 425 divided by 25, which equals 17.

- Thus, the new mean is 17.

Option 2: 17 is the correct answer.

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