Many experimenters are confused as to what constitutes randomness. Here is a guide to the different types of random number lists, and how to produce each one.

- WHAT A LIST OF RANDOM NUMBERS IS NOT:
- A list of random numbers does not have any preconceived order placed on it.
- Each number in the list is not picked with regard to numbers already picked.
- Each number in the list is not necessarily different from adjacent numbers.

- WHAT IS A LIST OF RANDOM NUMBERS?
- The random numbers are chosen from a given range of numbers.
- Use list of random numbers when the same number can be repeated.
- Each number can appear as many or as few times as is possible.
- The list does not have to include all of the numbers.
- The list can be any length.
- The original list is a possible outcome, if the length is right.
- A list of one repeated number is a possible outcome.

- FINDING A LIST OF RANDOM NUMBERS: Follow these steps:
- Pick the technique used to find a random number in the range.
- Make sure the technique does not remember what the last random number was.
- Repeat the technique until enough random numbers are found.

- WHAT IS A LIST OF SHUFFLED NUMBERS?
- A shuffled list is a list of numbers that has been randomly rearranged.
- Use a shuffled list where the order of choice matters.
- Use a shuffled list if each number is picked exactly once.
- Each number appears as many times as it appears in the original list.
- The original list is a possible outcome.
- The list includes all of the numbers in the original list.
- The list is the same length as the original list.

- FINDING A LIST OF SHUFFLED NUMBERS: Follow these steps:
- Determine a method to randomly select one item from a list of any length.
- Put the numbers to be shuffled into a master list.
- Repeat the following steps until the shuffled list is complete:
- Randomly choose a position in the remaining master list.
- Swap the number in that position with the last number in the master list.
- Remove and hold the last number from the master list.
- Put it in the same position in the shuffled list.

- WHAT IS A LIST OF PICKED NUMBERS?
- A list of picked numbers is a portion of a list of shuffled numbers.
- Picked numbers are used where order chosen matters.
- Each number can be used only once.
- Not all of the numbers are used.
- To pick a list of n numbers, take the first n numbers from a shuffled list.

- WHAT IS A LIST OF CHOSEN NUMBERS?
- A chosen list is a picked list that has been sorted into numerical order.
- Use a chosen list where the order of choice does not matter.
- Each number can be used only once.
- To choose a list of numbers, sort a picked list into numerical order.