Final answer:
The dense rank function assigns a unique rank number to each distinct value in a dataset, but if there are ties, it will assign the same rank number to each tied value.
Step-by-step explanation:
The rank function that does not skip any numbers due to ties is the dense rank function.
The dense rank function assigns a unique rank number to each distinct value in a dataset, but if there are ties (two or more values with the same rank), it will assign the same rank number to each tied value. So, the dense rank function ensures that all numbers are included in the ranking without any gaps.
For example, if we have a dataset with scores of 85, 80, 90, and 85, the dense rank function will assign the ranks 1, 2, 3, and 1 respectively, without skipping any numbers.