Final answer:
Using a random number generator, one can generate random decimals, scale them to the desired range 1-950, and round to the nearest whole number. Repeat this ten times to get ten unique numbers, ensuring that same numbers are not reused for true randomness.
Step-by-step explanation:
To generate ten random numbers between 1 and 950, one can use a random number generator available in statistical software, programming languages or even on certain calculators. For instance, using a calculator, you may be able to generate random decimals between 0 and 1, then scale and transform these values to the desired range. To scale a generated random decimal, multiply it by the maximum value of the range (in this case, 950).
For example, if the random decimal generated is .94360, you would calculate .94360 * 950 to get a random number within your range, which in this case would be approximately 896.42. Since we need a whole number, you would round to the nearest whole number, giving us 896. Repeat this process ten times to get ten unique random numbers.
It's important to note that each number can only be used once to ensure randomness in the selection. If the same number appears again, you should generate a new one. This method ensures that each number between 1 and 950 has an equal chance of being selected.