How do I get the average number of occurrences of a date for each day of the week in excel? - excel

Question

Let's say I have an excel spreadsheet recording some event that reoccurs often multiple times a day, sometimes not at all in a day. So I record the date and a bunch of other information for the event every time it happens. What I'm trying to find is, the average number of times this event occurs on each day of the week.
list of dates
So I want it to look at each day of the week, and find the average number of dates matching each day of the week, starting at the first date and ending at the last date. It should also take into account missing dates, so if there's a Friday with no records, that should affect the average occurrences for Friday.
I've tried using a Pivot Table to find this, and it can get me most of the way there, but it doesn't know to include missing dates within the "count of date" column.
pivot table
I'm not trying to find the average of some other value per day of the week, just the average occurrences of a date per the day of the week. Is this something that is possible in excel, or will I need to use scripts?
For an example where there's multiple weeks of data, I would expect to get a table of results like this:
Day of the week
Average
Mon
2.50
Tue
2.00
Wed
2.50
Thu
2.50
Fri
1.00
Sat
2.50
Sun
2.50
With Friday being lower as there is no Friday date in the provided range (the first Friday has 2 records, and the second Friday has 0 records).

Answer 1

We would need more data to really verify it (try it and let me know). You can use the following formula in cell D1:
=LET(A, A1:A14, B, B1:B14, wdays, TEXT(SEQUENCE(7), "ddd"),
cnts, COUNTIFS(B, wdays, A, TOROW(UNIQUE(A))),
ones, SEQUENCE(COLUMNS(cnts),,1,0), totals, MMULT(N(cnts>0), ones),
sum, MMULT(cnts, ones), HSTACK(wdays, IFERROR(sum/totals,"")))
Or you can use a more succinct formula via BYROW as follows:
=LET(A, A1:A14, B, B1:B14, wdays, TEXT(SEQUENCE(7), "ddd"),
cnts, COUNTIFS(B, wdays, A, TOROW(UNIQUE(A))),
HSTACK(wdays, BYROW(cnts, LAMBDA(x, IFERROR(AVERAGE(IF(x=0,"", x)),"")))))
Here is the output:
Note: If you want the result presented starting from Monday, then define wdays as follow: TEXT(SEQUENCE(7,,2),"ddd").
The name cnts, has the counts per week days (rows) and per columns (unique dates from column A). The rest is just to do the match to calculate the average. We ignore dates with no counts for calculating the average, as per my understanding of the sample input data from the question.