P var (ivy-llc#18995)

Co-authored-by: Rishab Mallick <rishabmallick6@gmail.com>

ivy/functional/frontends/paddle/tensor/tensor.py

@@ -577,6 +577,14 @@ def logical_not(self, out=None, name=None):
     def sign(self, name=None):
         return ivy.sign(self._ivy_array)
 
+    @with_supported_dtypes({"2.5.1 and below": ("float32", "float64")}, "paddle")
+    def var(self, axis=None, unbiased=True, keepdim=False, name=None):
+        return paddle_frontend.Tensor(
+            ivy.var(
+                self._ivy_array, axis=axis, correction=int(unbiased), keepdims=keepdim
+            )
+        )
+
     @with_unsupported_dtypes({"2.5.1 and below": ("float16", "bfloat16")}, "paddle")
     def sgn(self, name=None):
         return paddle_frontend.Tensor(ivy.sign(self._ivy_array, np_variant=True))

ivy_tests/test_ivy/test_frontends/test_paddle/test_tensor/test_tensor.py

@@ -12,6 +12,9 @@
 from ivy_tests.test_ivy.test_functional.test_experimental.test_core.test_manipulation import (  # noqa E501
     _get_dtype_values_k_axes_for_rot90,
 )
+from ivy_tests.test_ivy.test_functional.test_core.test_statistical import (
+    _statistical_dtype_values,
+)
 
 CLASS_TREE = "ivy.functional.frontends.paddle.Tensor"
 
@@ -2689,6 +2692,43 @@ def test_paddle_tensor_cond(
     )
 
 
+# var
+@handle_frontend_method(
+    class_tree=CLASS_TREE,
+    init_tree="paddle.to_tensor",
+    method_name="var",
+    dtype_and_x=_statistical_dtype_values(function="var"),
+    keepdim=st.booleans(),
+)
+def test_paddle_instance_var(
+    dtype_and_x,
+    keepdim,
+    frontend,
+    backend_fw,
+    frontend_method_data,
+    init_flags,
+    method_flags,
+    on_device,
+):
+    input_dtype, x, axis, correction = dtype_and_x
+    helpers.test_frontend_method(
+        init_input_dtypes=input_dtype,
+        init_all_as_kwargs_np={"data": x[0]},
+        method_input_dtypes=input_dtype,
+        method_all_as_kwargs_np={
+            "axis": axis,
+            "unbiased": bool(correction),
+            "keepdim": keepdim,
+        },
+        frontend=frontend,
+        frontend_method_data=frontend_method_data,
+        init_flags=init_flags,
+        backend_to_test=backend_fw,
+        method_flags=method_flags,
+        on_device=on_device,
+    )
+
+
 @handle_frontend_method(
     class_tree=CLASS_TREE,
     init_tree="paddle.to_tensor",