diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index f93e87074d650..bae50bc985573 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -228,7 +228,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.Series.to_markdown SA01" \
         -i "pandas.Series.to_string SA01" \
         -i "pandas.Series.update PR07,SA01" \
-        -i "pandas.Series.var PR01,RT03,SA01" \
         -i "pandas.Timedelta PR07,SA01" \
         -i "pandas.Timedelta.as_unit SA01" \
         -i "pandas.Timedelta.asm8 SA01" \
diff --git a/pandas/core/series.py b/pandas/core/series.py
index 97a53650ec5ff..cd306cc5c0dab 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -6720,7 +6720,6 @@ def sem(
         )
 
     @deprecate_nonkeyword_arguments(version="3.0", allowed_args=["self"], name="var")
-    @doc(make_doc("var", ndim=1))
     def var(
         self,
         axis: Axis | None = None,
@@ -6729,6 +6728,75 @@ def var(
         numeric_only: bool = False,
         **kwargs,
     ):
+        """
+        Return unbiased variance over requested axis.
+
+        Normalized by N-1 by default. This can be changed using the ddof argument.
+
+        Parameters
+        ----------
+        axis : {index (0)}
+            For `Series` this parameter is unused and defaults to 0.
+
+            .. warning::
+
+                The behavior of DataFrame.var with ``axis=None`` is deprecated,
+                in a future version this will reduce over both axes and return a scalar
+                To retain the old behavior, pass axis=0 (or do not pass axis).
+
+        skipna : bool, default True
+            Exclude NA/null values. If an entire row/column is NA, the result
+            will be NA.
+        ddof : int, default 1
+            Delta Degrees of Freedom. The divisor used in calculations is N - ddof,
+            where N represents the number of elements.
+        numeric_only : bool, default False
+            Include only float, int, boolean columns. Not implemented for Series.
+        **kwargs :
+            Additional keywords passed.
+
+        Returns
+        -------
+        scalar or Series (if level specified)
+            Unbiased variance over requested axis.
+
+        See Also
+        --------
+        numpy.var : Equivalent function in NumPy.
+        Series.std : Returns the standard deviation of the Series.
+        DataFrame.var : Returns the variance of the DataFrame.
+        DataFrame.std : Return standard deviation of the values over
+            the requested axis.
+
+        Examples
+        --------
+        >>> df = pd.DataFrame(
+        ...     {
+        ...         "person_id": [0, 1, 2, 3],
+        ...         "age": [21, 25, 62, 43],
+        ...         "height": [1.61, 1.87, 1.49, 2.01],
+        ...     }
+        ... ).set_index("person_id")
+        >>> df
+                   age  height
+        person_id
+        0           21    1.61
+        1           25    1.87
+        2           62    1.49
+        3           43    2.01
+
+        >>> df.var()
+        age       352.916667
+        height      0.056367
+        dtype: float64
+
+        Alternatively, ``ddof=0`` can be set to normalize by N instead of N-1:
+
+        >>> df.var(ddof=0)
+        age       264.687500
+        height      0.042275
+        dtype: float64
+        """
         return NDFrame.var(
             self,
             axis=axis,