QUERY
level 1:
if all 5 cells in range C2:G have values:
=QUERY(QUERY(C2:G, "select (C+D+E+F+G)/5"), "offset 1", )
if not, then rows are skipped:
if empty cells are considered as zeros:
=INDEX(QUERY(QUERY({C2:G*1}, "select (Col1+Col2+Col3+Col4+Col5)/5"), "offset 1", ))
to remove zero values we use IFERROR(1/(1/...)) wrapping:
=INDEX(IFERROR(1/(1/QUERY(QUERY({C2:G*1},
"select (Col1+Col2+Col3+Col4+Col5)/5"), "offset 1", ))))
to make Col references dynamic we can do:
=INDEX(IFERROR(1/(1/QUERY(QUERY({C2:G*1},
"select "&
"("&JOIN("+", "Col"&ROW(INDIRECT("1:"&COLUMNS(C:G))))&")/"&COLUMNS(C:G)),
"offset 1", ))))
level 2:
if empty cells are not considered as zeros and shouldn’t be skipped:
=INDEX(TRANSPOSE(QUERY(TRANSPOSE(E2:I),
"select "&TEXTJOIN(",", 1, IF(A2:A="",,
"avg(Col"&ROW(A2:A)-ROW(A2)+1&")")))),, 2)
note that this is column A dependant, so missing values in column A will offset the results
fun fact !! we can swap avg to max or min:
to free it from confinement of column A and make it work for any valid row:
=INDEX(IFERROR(1/(1/TRANSPOSE(QUERY(TRANSPOSE(
IF(TRIM(TRANSPOSE(QUERY(TRANSPOSE(C2:G),,9^9)))="", C2:G*0, C2:G)),
"select "&TEXTJOIN(",", 1,
"avg(Col"&ROW(A2:A)-ROW(A2)+1&")"))))),, 2)
if present 0’s in range shouldn’t be averaged we can add a small IF statement:
=INDEX(IFERROR(1/(1/TRANSPOSE(QUERY(TRANSPOSE(
IF(TRIM(TRANSPOSE(QUERY(TRANSPOSE(
IF(C2:G>0, C2:G, )),,9^9)))="", C2:G*0,
IF(C2:G>0, C2:G, ))),
"select "&TEXTJOIN(",", 1,
"avg(Col"&ROW(A2:A)-ROW(A2)+1&")"))))),, 2)
here we used so-called “vertical query smash” which takes all values in a given range and concentrates it to one single column, where all cells per each row are joined with empty space as a byproduct:
=FLATTEN(QUERY(TRANSPOSE(C2:G),,9^9))
apart from this, there is also “horizontal query smash”:
=QUERY(C2:G,,9^9)
and also “ultimate 360° double query smash” which puts all cells from range into one single cell:
=QUERY(FLATTEN(QUERY(TRANSPOSE(C2:G),,9^9)),,9^9)
and finally “the infamous negative 360° reverse double query smash” which prioritizes columns over rows:
=QUERY(FLATTEN(QUERY(C2:G,,9^9)),,9^9)
all query smash names are copyrighted of course
back to the topic… as mentioned above all cells per row in range are joined with empty space even those empty ones, so we got a situation where we getting double or multiple spaces between values. to fix this we use TRIM and introduce a simple IF statement to assign 0 values for empty rows in a given range eg. to counter the offset:
MMULT
level 3:
MMULT is a kind of heavy class formula that is able to perform addition, subtraction, multiplication, division even running total on arrays/matrixes… however, bigger the dataset = slower the formula calculation (because in MMULT even empty rows take time to perform + - × ÷ operation) …unless we use truly dynamic range infinite in both directions…
to get the last row with values of a given range:
=INDEX(MAX(IF(TRIM(FLATTEN(QUERY(TRANSPOSE(
INDIRECT("C2:"&ROWS(A:A))),,9^9)))="",,ROW(A2:A))))
to get the last column with values of a given range:
=INDEX(MAX(IF(TRIM(QUERY(INDIRECT("C2:"&ROWS(A:A)),,9^9))="",,COLUMN(C2:2))))
now we can construct it in a simple way:
=INDIRECT("C2:"&ADDRESS(9, 7))
which is the same as:
=INDEX(INDIRECT("C2:"&ADDRESS(MAX(IF(TRIM(FLATTEN(QUERY(TRANSPOSE(
INDIRECT("C2:"&ROWS(A:A))),,9^9)))="",,ROW(A2:A))),
MAX(IF(TRIM(QUERY(INDIRECT("C2:"&ROWS(A:A)),,9^9))="",,COLUMN(C2:2))))))
or shorter alternative:
=INDEX(INDIRECT("C2:"&ADDRESS(
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*ROW(A2:A)),
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*COLUMN(C2:2)))))
therefore simplified MMULT formula would be:
=ARRAYFORMULA(IFERROR(
MMULT(N( C2:G9), ROW(INDIRECT("C1:C"&COLUMNS(C:G)))^0)/
MMULT(N(IF(C2:G9<>"", 1, )), ROW(INDIRECT("C1:C"&COLUMNS(C:G)))^0)))
in case we want to exclude zero values from range, the formula would be:
=ARRAYFORMULA(IFERROR(
MMULT(N( C2:G9), ROW(INDIRECT("C1:C"&COLUMNS(C:G)))^0)/
MMULT(N(IF(C2:G9>0, 1, )), ROW(INDIRECT("C1:C"&COLUMNS(C:G)))^0)))
level 4:
putting together all above to make it infinitely dynamic and still restricted to valid dataset:
=INDEX(IFERROR(
MMULT(N( INDIRECT("C2:"&ADDRESS(
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*ROW(A2:A)),
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*COLUMN(C2:2))))), ROW(INDIRECT("C1:C"&
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*COLUMN(C2:2))-(COLUMN(C2)-1)))^0)/
MMULT(N(IF(INDIRECT("C2:"&ADDRESS(
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*ROW(A2:A)),
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*COLUMN(C2:2))))<>"", 1, )), ROW(INDIRECT("C1:C"&
MAX((INDIRECT("C2:"&ROWS(A:A))<>"")*COLUMN(C2:2))-(COLUMN(C2)-1)))^0)))
again, not including cells with zeros in range:
honorable mentions:
@Erik Tyler level:
the polar opposite of the previous formula would be to run the MMULT on
- total area of
C2:?(all rows, all columns)instead of - valid area
C2:?(excluding empty rows and columns)which avoids mass-calculations of0 × 0 = 0
including zeros:
=INDEX(IFERROR(
MMULT( INDIRECT("C2:"&ROWS(C:C))*1, SEQUENCE(COLUMNS(C2:2))^0)/
MMULT(IF(INDIRECT("C2:"&ROWS(C:C))<>"", 1)*1, SEQUENCE(COLUMNS(C2:2))^0)))
excluding zeros:
=INDEX(IFERROR(
MMULT( INDIRECT("C2:"&ROWS(C:C))*1, SEQUENCE(COLUMNS(C2:2))^0)/
MMULT(IF(INDIRECT("C2:"&ROWS(C:C))>0, 1)*1, SEQUENCE(COLUMNS(C2:2))^0)))
@kishkin level:
for a fixed range C2:G9 the MMULT average would be:
=INDEX(IFERROR(
MMULT( C2:G9*1, FLATTEN(COLUMN(C:G))^0)/
MMULT((C2:G9>0)*1, FLATTEN(COLUMN(C:G))^0)))
=INDEX(IFNA(VLOOKUP(ROW(C2:C),
QUERY(SPLIT(FLATTEN(ROW(C2:C)&"×"&C2:J), "×"),
"select Col1,avg(Col2)
where Col2 is not null
group by Col1"), 2, )))
@MattKing level:
=INDEX(QUERY(SPLIT(FLATTEN(ROW(C2:C)&"×"&OFFSET(C2,,,9^9, 9^9)), "×"),
"select avg(Col2)
group by Col1
label avg(Col2)''"))
excluding zeros:
=INDEX(QUERY(SPLIT(FLATTEN(ROW(C2:C)&"×"&OFFSET(C2,,,9^9, 9^9)), "×"),
"select avg(Col2)
where Col2 <> 0
group by Col1
label avg(Col2)''"))
including empty cells:
=INDEX(IFERROR(1/(1/QUERY(SPLIT(FLATTEN(ROW(C2:C)&"×"&OFFSET(C2,,,9^9, 9^9)*1), "×"),
"select avg(Col2)
group by Col1
label avg(Col2)''"))))