## UNIQUES and DISTINCTS: exploring lists with LISTDISTINCTS

I just added some options to the SpeedTools LISTDISTINCTS functions that make them surprisingly powerful. You can now easily find the most frequently occurring item in a list, or find the item with the largest sum or average of a corresponding column.

But first since there is disagreement about the meaning of the terms UNIQUES and DISTINCTS I should explain what I mean:

• A unique item in a list is one that only occurs once
• Distinct items in a list can occur once or more than once

### Creating a list of distinct items

Suppose you have a list formatted as a table:

Then entering the formula =LISTDISTINCTS(Table1) as a multi-cell array formula (select 14 cells in a column, enter the formula in the formula bar and press Control/Shift/enter) gives you this:

Notice that the items appear in the sequence of their first occurrence in the list.

There are rather a lot of #N/As since Excel pads out the excess cells (the cells for which the array formula did not return anything) with #N/A.
But of course LISTDISTINCTS allows us to fix that using the PAD option in the formula =LISTDISTINCTS(Table1,,,,,1)
Pad can be 0 = pad with #N/A, 1 = pad with “”, 2 pad with zero.

That looks better, but OOPS the #N/A in the list has disappeared! Thats because the default option for LISTDISTINCTS is to ignore error values, blanks and empty cells, so we just need to change the Ignore option to 2.

And the result looks like this: (it shows #ERROR rather than #N/A so that you can distinguish it from the padding #N/A)

There some more options for LISTDISTINCTS

Case_Sense defaults to false, so the aa and AA in the list are treated as being the same.

If your list of items has more than one column you can either ask for a list of distinct rows (ByRows=True) or a list of all the distinct items across all the columns.

And you can sort the result list ascending (Sort=1), descending (Sort=2) or leave it unsorted (Sort=0).

Here is an example of LISTDISTINCTS sorted ascending, case-sensitive, pad with blanks, include errors, showing the difference with ByRows True and ByRows False.

### Counting Distinct Items

There are 2 variations of LISTDISTINCTS for counting the number of distinct items: COUNTDISTINCTS and LISTDISTINCTS.COUNT

COUNTDISTINCTS is not an array formula and just gives you the count.
But LISTDISTINCTS.COUNT adds an extra column that gives the count of occurrences of each of the distinct items.

### Finding the most frequently occurring item

You can also sort the output of LISTDISTINCTS.COUNT most frequent occurrences first (Sort=-2) or last (Sort=2).

So the formula =LISTDISTINCTS.COUNT(A21:A34,,,,-2) (not an array formula, entered in a single cell) returns AA which is the most frequently occurring item.

### Sums and Averages for distinct items.

As well as LISTDISTINCTS.COUNT there are LISTDISTINCTS.SUM and LISTDISTINCTS.AVG
These take an additional column argument showing what to sum or average for each distinct item.
And, just like LISTDISTINCTS.COUNT, you can sort the output either on the distinct items or on the resulting sums or averages.

## Summary

Of course you can achieve similar things with Pivot Tables and PowerPivot. But there are many occasions when I find that a simple formula that automatically refreshes whenever Excel recalculates is a better solution.

And adding the option to sort ascending or descending on either the item list or the count, sum or average adds a lot of pwer to the functions.