How to Generate a Random Number List

What the random number list tool does

Random Number List generates a set of distinct random integers from three numeric inputs: a minimum, a maximum, and the number of values to return. An optional sorting control places the selected values in ascending order, which can help when you need a readable list for a worksheet, test data, a classroom activity, or a quick calculation.

The starting settings are a minimum of 1, a maximum of 100, a count of 10, and sorting turned off. You can replace these values with a range and list length that fit your task. Before using the result, check that the minimum is lower than the maximum and that the requested count fits within the inclusive range.

Step-by-step instructions

Enter the numeric minimum for the range. Enter the numeric maximum separately. The minimum must be lower than the maximum.
Enter the count, meaning how many integers you want returned. Use a value of at least 1. The count cannot be greater than the number of integers available in the inclusive range.
Decide whether you want ascending order. Leave sorting disabled if the selection order is useful to you; enable it when you want the returned values arranged from low to high.
Run the operation and review the generated list. The successful result also includes the sum of the selected numbers and an average rounded to 10 decimal places.
If the operation does not succeed, check the three inputs first. A minimum that is greater than or equal to the maximum is rejected. A count below 1 is rejected, and a count larger than the inclusive range is rejected as well.

Use whole-number inputs when you want the entered range and count to correspond directly to the sampled range and list length. Fractional minimum, maximum, or count values are converted to whole-number values for sampling, so the sampled values, returned list length, or average can differ from what the decimal inputs seem to request.

How to read the result

A successful result contains distinct randomly selected integers based on whole-number interpretations of the minimum, maximum, and count inputs. If sorting is enabled, the same selected values are arranged in ascending order. The sum describes the total of the selected numbers, while the average is presented to 10 decimal places.

Treat decimal inputs with care. A fractional bound may change the whole-number range used for sampling. A fractional count may change the returned list length, and the average uses the supplied count, so it may not match the arithmetic average of the displayed list in that situation. For predictable output, enter whole numbers and confirm that the requested count does not exceed the inclusive range size.

The tool produces a new random selection when the operation succeeds, so use the displayed list and summary values for the particular operation you just ran. Sorting changes the arrangement of the selected values, not the fact that the successful result contains distinct integers.

Worked example

You need five distinct integers from the range 10 through 50 in low-to-high order for a worksheet.

Enter a minimum of 10, a maximum of 50, and a count of 5, enable ascending sorting, and run the operation.

A successful result contains 5 distinct random integers, plus their sum and an average rounded to 10 decimal places. With sorting enabled, the integers appear in ascending order.

Limitations

Fractional minimum, maximum, and count inputs are converted to whole-number values for sampling, so decimal inputs can change the sampled range, returned list length, or average.
A requested count that exceeds the inclusive range size is not accepted.

Common errors

Using the same value for the minimum and maximum, or placing the minimum above the maximum, makes the operation unsuccessful. Enter a lower minimum and a higher maximum, then check that the count fits within the inclusive range.
A count below 1 is not accepted. Enter a count of at least 1.
A decimal count or boundary can be interpreted as a whole number for sampling rather than as the literal decimal request. Use whole-number inputs when you need a predictable list length and range.

FAQ

How do I generate a list of distinct random integers?

Use a minimum lower than the maximum, a count of at least 1, and a count no larger than the inclusive range size. The successful result contains distinct randomly selected integers.

How can I sort the generated numbers from low to high?

Enable the sorting control before running the operation. The selected numbers will then be arranged in ascending order.

What happens if I enter decimal values?

Decimal inputs are converted to whole-number values for sampling. A fractional boundary can change the sampled range, while a fractional count can change the returned list length and make the average differ from the arithmetic average of the list.