See Colin's description. We would to add that
(A) some functions like Offset, SumIf, CountIf, SumIfs, and CountIfs are designed to operate only on (multi-cell) range objects, while
(B) Sum, SumProduct, Frequency, Linest, lookup functions, etc. take both range and array objects.
Consider A2:A5...
<TABLE style="WIDTH: 48pt; BORDER-COLLAPSE: collapse" border=0 cellSpacing=0 cellPadding=0 width=64 x:str><COLGROUP><COL style="WIDTH: 48pt" width=64><TBODY><TR style="HEIGHT: 12.75pt" height=17><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; WIDTH: 48pt; HEIGHT: 12.75pt; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl22 height=17 width=64 align=right x:num>
3</TD></TR><TR style="HEIGHT: 12.75pt" height=17><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; HEIGHT: 12.75pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl22 height=17 align=right x:num>
2</TD></TR><TR style="HEIGHT: 12.75pt" height=17><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; HEIGHT: 12.75pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl22 height=17 align=right x:num>
4</TD></TR><TR style="HEIGHT: 12.75pt" height=17><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; HEIGHT: 12.75pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl22 height=17 align=right x:num>
5</TD></TR></TBODY></TABLE>
which is a range object.
Try:
1. SUMIF(A2:A5,">3")
2. SUMIF({3;2;4;5},">3")
The formula in (2) won't succeed, which figures an array object (i.e., {3;2;4;5}) as reference.
3. FREQUENCY(A2:A5,2)
4. FREQUENCY({3;2;4;5},2)
Both (3) and (4) would happily yield the same result.
BTW:
YEAR($A$2:$A$11)
yields an array object that SumProduct can process, while SumIf(s) by design as stipulated above cannot.