diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index 5fc8f02a3fa8d..c63435b257032 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -99,7 +99,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         pandas.api.extensions.ExtensionDtype \
         pandas.api.extensions.ExtensionArray \
         pandas.arrays.NumpyExtensionArray \
-        pandas.api.extensions.ExtensionArray._accumulate \
         pandas.api.extensions.ExtensionArray._concat_same_type \
         pandas.api.extensions.ExtensionArray._formatter \
         pandas.api.extensions.ExtensionArray._from_factorized \
@@ -110,9 +109,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         pandas.api.extensions.ExtensionArray._values_for_factorize \
         pandas.api.extensions.ExtensionArray.interpolate \
         pandas.api.extensions.ExtensionArray.ravel \
-        pandas.api.extensions.ExtensionArray.ndim \
-        pandas.api.extensions.ExtensionArray.shape \
-        pandas.api.extensions.ExtensionArray.tolist \
         pandas.DataFrame.__dataframe__
     RET=$(($RET + $?)) ; echo $MSG "DONE"
 
diff --git a/pandas/core/arrays/base.py b/pandas/core/arrays/base.py
index ca95451575af5..2e409463ecb81 100644
--- a/pandas/core/arrays/base.py
+++ b/pandas/core/arrays/base.py
@@ -520,6 +520,12 @@ def dtype(self) -> ExtensionDtype:
     def shape(self) -> Shape:
         """
         Return a tuple of the array dimensions.
+
+        Examples
+        --------
+        >>> arr = pd.array([1, 2, 3])
+        >>> arr.shape
+        (3,)
         """
         return (len(self),)
 
@@ -536,6 +542,12 @@ def size(self) -> int:
     def ndim(self) -> int:
         """
         Extension Arrays are only allowed to be 1-dimensional.
+
+        Examples
+        --------
+        >>> arr = pd.array([1, 2, 3])
+        >>> arr.ndim
+        1
         """
         return 1
 
@@ -1599,6 +1611,14 @@ def _accumulate(
         Raises
         ------
         NotImplementedError : subclass does not define accumulations
+
+        Examples
+        --------
+        >>> arr = pd.array([1, 2, 3])
+        >>> arr._accumulate(name='cumsum')
+        <IntegerArray>
+        [1, 3, 6]
+        Length: 3, dtype: Int64
         """
         raise NotImplementedError(f"cannot perform {name} with type {self.dtype}")
 
@@ -1694,6 +1714,12 @@ def tolist(self) -> list:
         Returns
         -------
         list
+
+        Examples
+        --------
+        >>> arr = pd.array([1, 2, 3])
+        >>> arr.tolist()
+        [1, 2, 3]
         """
         if self.ndim > 1:
             return [x.tolist() for x in self]