diff --git a/src/query/graphite/native/aggregation_functions.go b/src/query/graphite/native/aggregation_functions.go
index b51acf90a2..c2561034b4 100644
--- a/src/query/graphite/native/aggregation_functions.go
+++ b/src/query/graphite/native/aggregation_functions.go
@@ -338,20 +338,44 @@ func sumSeriesWithWildcards(
 // aggregateWithWildcards splits the given set of series into sub-groupings
 // based on wildcard matches in the hierarchy, then aggregate the values in
 // each grouping based on the given function.
+// Similar to combineSeriesWithWildcards function but more general, as it
+// supports any aggregate functions while combineSeriesWithWildcards only
+// support aggregation with existing ts.ConsolidationFunc.
 func aggregateWithWildcards(
 	ctx *common.Context,
 	series singlePathSpec,
 	fname string,
 	positions ...int,
 ) (ts.SeriesList, error) {
-	f, fexists := summarizeFuncs[fname]
-	if !fexists {
-		err := xerrors.NewInvalidParamsError(fmt.Errorf(
-			"invalid func %s", fname))
-		return ts.NewSeriesList(), err
+	if len(series.Values) == 0 {
+		return ts.SeriesList(series), nil
+	}
+
+	toAggregate := splitSeriesIntoSubgroups(series, positions)
+
+	newSeries := make([]*ts.Series, 0, len(toAggregate))
+	for name, toAggregateSeries := range toAggregate {
+		seriesList := ts.SeriesList{
+			Values:   toAggregateSeries,
+			Metadata: series.Metadata,
+		}
+		aggregated, err := aggregate(ctx, singlePathSpec(seriesList), fname)
+		if err != nil {
+			return ts.NewSeriesList(), err
+		}
+		renamedSeries := aggregated.Values[0].RenamedTo(name)
+		newSeries = append(newSeries, renamedSeries)
 	}
 
-	return combineSeriesWithWildcards(ctx, series, positions, f.specificationFunc, f.consolidationFunc)
+	r := ts.SeriesList(series)
+
+	r.Values = newSeries
+
+	// Ranging over hash map to create results destroys
+	// any sort order on the incoming series list
+	r.SortApplied = false
+
+	return r, nil
 }
 
 // combineSeriesWithWildcards splits the given set of series into sub-groupings
@@ -368,6 +392,34 @@ func combineSeriesWithWildcards(
 		return ts.SeriesList(series), nil
 	}
 
+	toCombine := splitSeriesIntoSubgroups(series, positions)
+
+	newSeries := make([]*ts.Series, 0, len(toCombine))
+	for name, toCombineSeries := range toCombine {
+		seriesList := ts.SeriesList{
+			Values:   toCombineSeries,
+			Metadata: series.Metadata,
+		}
+		combined, err := combineSeries(ctx, multiplePathSpecs(seriesList), name, f)
+		if err != nil {
+			return ts.NewSeriesList(), err
+		}
+		combined.Values[0].Specification = sf(seriesList)
+		newSeries = append(newSeries, combined.Values...)
+	}
+
+	r := ts.SeriesList(series)
+
+	r.Values = newSeries
+
+	// Ranging over hash map to create results destroys
+	// any sort order on the incoming series list
+	r.SortApplied = false
+
+	return r, nil
+}
+
+func splitSeriesIntoSubgroups(series singlePathSpec, positions []int) map[string][]*ts.Series {
 	var (
 		toCombine = make(map[string][]*ts.Series)
 		wildcards = make(map[int]struct{})
@@ -392,29 +444,7 @@ func combineSeriesWithWildcards(
 		toCombine[newName] = append(toCombine[newName], series)
 	}
 
-	newSeries := make([]*ts.Series, 0, len(toCombine))
-	for name, combinedSeries := range toCombine {
-		seriesList := ts.SeriesList{
-			Values:   combinedSeries,
-			Metadata: series.Metadata,
-		}
-		combined, err := combineSeries(ctx, multiplePathSpecs(seriesList), name, f)
-		if err != nil {
-			return ts.NewSeriesList(), err
-		}
-		combined.Values[0].Specification = sf(seriesList)
-		newSeries = append(newSeries, combined.Values...)
-	}
-
-	r := ts.SeriesList(series)
-
-	r.Values = newSeries
-
-	// Ranging over hash map to create results destroys
-	// any sort order on the incoming series list
-	r.SortApplied = false
-
-	return r, nil
+	return toCombine
 }
 
 // splits a slice into chunks
diff --git a/src/query/graphite/native/aggregation_functions_test.go b/src/query/graphite/native/aggregation_functions_test.go
index 8e9af03045..4b0b9ed6a0 100644
--- a/src/query/graphite/native/aggregation_functions_test.go
+++ b/src/query/graphite/native/aggregation_functions_test.go
@@ -651,26 +651,50 @@ func TestAggregateWithWildcards(t *testing.T) {
 	)
 	defer ctx.Close()
 
-	outSeries, err := aggregateWithWildcards(ctx, singlePathSpec{
-		Values: inputs,
-	}, "sum", 1, 2)
-	require.NoError(t, err)
-	require.Equal(t, 2, len(outSeries.Values))
-
-	outSeries, _ = sortByName(ctx, singlePathSpec(outSeries), false, false)
-
-	expectedOutputs := []struct {
+	type result struct {
 		name      string
 		sumOfVals float64
+	}
+
+	tests := []struct {
+		fname           string
+		nodes           []int
+		expectedResults []result
 	}{
-		{"servers.status.400", 90 * 12},
-		{"servers.status.500", 30 * 12},
+		{"avg", []int{1, 2}, []result{
+			{"servers.status.400", ((20 + 30 + 40) / 3) * 12},
+			{"servers.status.500", ((2 + 4 + 6 + 8 + 10) / 5) * 12},
+		}},
+		{"max", []int{2, 4}, []result{
+			{"servers.status.400", 40 * 12},
+			{"servers.status.500", 10 * 12},
+		}},
+		{"min", []int{2, -1}, []result{
+			{"servers.status.400", 20 * 12},
+			{"servers.status.500", 2 * 12},
+		}},
+		{"median", []int{1, 2}, []result{
+			{"servers.status.400", 30 * 12},
+			{"servers.status.500", 6 * 12},
+		}},
 	}
 
-	for i, expected := range expectedOutputs {
-		series := outSeries.Values[i]
-		assert.Equal(t, expected.name, series.Name())
-		assert.Equal(t, expected.sumOfVals, series.SafeSum())
+	for _, test := range tests {
+		outSeries, err := aggregateWithWildcards(ctx, singlePathSpec{
+			Values: inputs,
+		}, test.fname, 1, 2)
+		require.NoError(t, err)
+		require.Equal(t, 2, len(outSeries.Values))
+
+		outSeries, _ = sortByName(ctx, singlePathSpec(outSeries), false, false)
+
+		for i, expected := range test.expectedResults {
+			series := outSeries.Values[i]
+			assert.Equal(t, expected.name, series.Name(), "wrong name for %v %s (%d)", test.nodes, test.fname, i)
+
+			assert.Equal(t, expected.sumOfVals, series.SafeSum(),
+				"wrong result for %v %s (%d)", test.nodes, test.fname, i)
+		}
 	}
 }