diff --git a/homeassistant/components/filter/sensor.py b/homeassistant/components/filter/sensor.py
index 2a8798d3729..e8c532547c1 100644
--- a/homeassistant/components/filter/sensor.py
+++ b/homeassistant/components/filter/sensor.py
@@ -89,7 +89,7 @@ FILTER_LOWPASS_SCHEMA = FILTER_SCHEMA.extend(
     }
 )
 
-FILTER_RANGE_SCHEMA = vol.Schema(
+FILTER_RANGE_SCHEMA = FILTER_SCHEMA.extend(
     {
         vol.Required(CONF_FILTER_NAME): FILTER_NAME_RANGE,
         vol.Optional(CONF_FILTER_LOWER_BOUND): vol.Coerce(float),
@@ -406,6 +406,7 @@ class RangeFilter(Filter):
     def __init__(
         self,
         entity,
+        precision: Optional[int] = DEFAULT_PRECISION,
         lower_bound: Optional[float] = None,
         upper_bound: Optional[float] = None,
     ):
@@ -414,7 +415,7 @@ class RangeFilter(Filter):
         :param upper_bound: band upper bound
         :param lower_bound: band lower bound
         """
-        super().__init__(FILTER_NAME_RANGE, entity=entity)
+        super().__init__(FILTER_NAME_RANGE, precision=precision, entity=entity)
         self._lower_bound = lower_bound
         self._upper_bound = upper_bound
         self._stats_internal = Counter()
diff --git a/tests/components/filter/test_sensor.py b/tests/components/filter/test_sensor.py
index 6288e0699fd..e9c8f4c35e2 100644
--- a/tests/components/filter/test_sensor.py
+++ b/tests/components/filter/test_sensor.py
@@ -217,7 +217,9 @@ class TestFilterSensor(unittest.TestCase):
         """Test if range filter works."""
         lower = 10
         upper = 20
-        filt = RangeFilter(entity=None, lower_bound=lower, upper_bound=upper)
+        filt = RangeFilter(
+            entity=None, precision=2, lower_bound=lower, upper_bound=upper
+        )
         for unf_state in self.values:
             unf = float(unf_state.state)
             filtered = filt.filter_state(unf_state)
@@ -232,7 +234,9 @@ class TestFilterSensor(unittest.TestCase):
         """Test if range filter works with zeroes as bounds."""
         lower = 0
         upper = 0
-        filt = RangeFilter(entity=None, lower_bound=lower, upper_bound=upper)
+        filt = RangeFilter(
+            entity=None, precision=2, lower_bound=lower, upper_bound=upper
+        )
         for unf_state in self.values:
             unf = float(unf_state.state)
             filtered = filt.filter_state(unf_state)