diff --git a/extensions/functions_arithmetic.yaml b/extensions/functions_arithmetic.yaml
index c72df06a4..e7185c80c 100644
--- a/extensions/functions_arithmetic.yaml
+++ b/extensions/functions_arithmetic.yaml
@@ -1040,6 +1040,9 @@ aggregate_functions:
           - name: rounding
             options: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR ]
             required: false
+          - name: distribution
+            options: [ SAMPLE, POPULATION]
+            required: false
           - name: x
             value: fp32
         nullability: DECLARED_OUTPUT
@@ -1048,6 +1051,9 @@ aggregate_functions:
           - name: rounding
             options: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR ]
             required: false
+          - name: distribution
+            options: [ SAMPLE, POPULATION]
+            required: false
           - name: x
             value: fp64
         nullability: DECLARED_OUTPUT
@@ -1059,6 +1065,9 @@ aggregate_functions:
           - name: rounding
             options: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR ]
             required: false
+          - name: distribution
+            options: [ SAMPLE, POPULATION]
+            required: false
           - name: x
             value: fp32
         nullability: DECLARED_OUTPUT
@@ -1067,6 +1076,9 @@ aggregate_functions:
           - name: rounding
             options: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR ]
             required: false
+          - name: distribution
+            options: [ SAMPLE, POPULATION]
+            required: false
           - name: x
             value: fp64
         nullability: DECLARED_OUTPUT