diff --git a/statistics/histogram.go b/statistics/histogram.go
index 2f54c10bd3f7e..39cc6c8659075 100644
--- a/statistics/histogram.go
+++ b/statistics/histogram.go
@@ -616,7 +616,7 @@ func MergeHistograms(sc *stmtctx.StatementContext, lh *Histogram, rh *Histogram,
 }
 
 func (hg *Histogram) outOfRange(val types.Datum) bool {
-	if hg.Bounds == nil {
+	if hg.Len() == 0 {
 		return true
 	}
 	len := hg.Bounds.NumRows()
diff --git a/statistics/selectivity_test.go b/statistics/selectivity_test.go
index de4e6b2618019..17e19857832de 100644
--- a/statistics/selectivity_test.go
+++ b/statistics/selectivity_test.go
@@ -267,6 +267,18 @@ func (s *testSelectivitySuite) TestEstimationForUnknownValues(c *C) {
 	count, err = statsTbl.GetRowCountByIndexRanges(sc, idxID, getRange(9, 30))
 	c.Assert(err, IsNil)
 	c.Assert(count, Equals, 2.2)
+
+	testKit.MustExec("truncate table t")
+	testKit.MustExec("insert into t values (null, null)")
+	testKit.MustExec("analyze table t")
+	table, err = s.dom.InfoSchema().TableByName(model.NewCIStr("test"), model.NewCIStr("t"))
+	c.Assert(err, IsNil)
+	statsTbl = h.GetTableStats(table.Meta())
+
+	colID = table.Meta().Columns[0].ID
+	count, err = statsTbl.GetRowCountByColumnRanges(sc, colID, getRange(1, 30))
+	c.Assert(err, IsNil)
+	c.Assert(count, Equals, 0.0)
 }
 
 func BenchmarkSelectivity(b *testing.B) {