diff --git a/tests/sparsetensors/quantization/observers/test_min_max.py b/tests/sparsetensors/quantization/observers/test_min_max.py
new file mode 100644
index 00000000..a5273d02
--- /dev/null
+++ b/tests/sparsetensors/quantization/observers/test_min_max.py
@@ -0,0 +1,89 @@
+# Copyright (c) 2021 - present / Neuralmagic, Inc. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing,
+# software distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+
+import pytest
+import torch
+from sparsetensors.quantization.quant_args import QuantizationArgs
+
+
+@pytest.mark.parametrize(
+    "symmetric,expected_scale,expected_zero_point",
+    [
+        (True, 0.0078, 0),
+        (False, 0.0039, 0),
+    ],
+)
+def test_min_max_observer(symmetric, expected_scale, expected_zero_point):
+    tensor = torch.tensor([1, 1, 1, 1, 1])
+    num_bits = 8
+    weights = QuantizationArgs(num_bits=num_bits, symmetric=symmetric)
+
+    observer = weights.get_observer()
+    scale, zero_point = observer(tensor)
+
+    assert round(scale.item(), 4) == expected_scale
+    assert round(zero_point.item(), 4) == expected_zero_point
+
+
+def test_min_max_observer_symmetric_scale_range():
+    tensor = torch.rand(4, 4)
+    tensor *= 127
+
+    num_bits = 8
+    weights = QuantizationArgs(num_bits=num_bits, symmetric=True)
+
+    observer = weights.get_observer()
+    scale, zero_point = observer(tensor)
+
+    # if symmetric, max symmetric_range = abs(-128) / 255
+    assert round(scale.item(), 4) <= 1.0039
+    assert round(zero_point.item(), 4) == 0
+
+
+def test_min_max_observer_value_update():
+    inp = torch.tensor([1, 1, 1, 1, 1])
+    inp_update_max = torch.tensor([127, 1, 1, 1, 1])
+    inp_update_min = torch.tensor([-128, 1, 1, 1, 1])
+
+    # udpate the min, max twice total
+    tensors = [
+        inp,
+        inp,
+        inp_update_max,  # update max
+        inp,
+        inp_update_min,  # update min
+    ]
+
+    tensor = inp
+    num_bits = 8
+    weights = QuantizationArgs(num_bits=num_bits, symmetric=True)
+
+    observer = weights.get_observer()
+    curr_max = 1
+    curr_min = 1
+    for i, tensor in enumerate(tensors):
+        observer(tensor)
+        curr_max = max(observer.max_val, curr_max)
+        curr_min = min(observer.min_val, curr_max)
+
+        if i < 2:
+            assert curr_max == 1
+            assert curr_min == 1
+        elif i < 4:
+            assert curr_max == 43  # (127 + 2) / 3
+            assert curr_min == 1
+        else:
+            assert curr_max == 43
+            assert curr_min == -24.8  # (-128 + 4) / 5