Get `n` random values between 2 numbers having average `x`

Question

I want to get n random numbers(e.g n=16)(whole numbers) between 1 to 5(including both) so that average is x.

x can be any value between (1, 1.5, 2, 2.5, 3,

Answer 1

I would implement it like this:

1. Choose n random numbers
2. Calculate average
3. Randomly choose one of the n random numbers
4. Add or subtract 1 from the number, depending on whether the current average is above or below x
5. Repeat from step 2 until the current average is x (or close enough)