def METHOD_NAME(transformation, backend, ray_cluster_2cpu):
    data_df, proc_df = get_test_data(backend)
    backend = initialize_backend(backend)
    feature_meta = NumberFeatureMixin.get_feature_meta(data_df["x"], {"normalization": transformation}, backend, True)
    num_feature = number_feature()
    NumberFeatureMixin.add_feature_data(
        feature_config=num_feature,
        input_df=data_df,
        proc_df=proc_df,
        metadata={num_feature[NAME]: feature_meta},
        preprocessing_parameters={"normalization": transformation},
        backend=backend,
        skip_save_processed_input=False,
    )