code: def grouped_reduce(self, func):
      arr = self.array
      res = func(arr)
      index = default_index(len(res))
  
      mgr = type(self).from_array(res, index)
      return mgr
  
imports: from __future__ import annotations
  from typing import TYPE_CHECKING, Any, Literal, cast, final
  import numpy
  from pandas._config import using_copy_on_write, warn_copy_on_write
  from pandas._libs import algos, lib
  from pandas.errors import AbstractMethodError
  from pandas.util._validators import validate_bool_kwarg
  from pandas.core.dtypes.cast import find_common_type, np_can_hold_element
  from pandas.core.dtypes.dtypes import ExtensionDtype, SparseDtype
  from pandas.core.base import PandasObject
  from pandas.core.construction import extract_array
  from pandas.core.indexes.api import Index, default_index
label_desc: Use image node_id 4 for calling the SingleDataManager obj's underlying member method code with example usage: obj.grouped_reduce(func) and returns: mgr