diff --git a/sklearn/neighbors/kde.py b/sklearn/neighbors/kde.py
index 3cfdbc63042b7..b4d48627824fb 100644
--- a/sklearn/neighbors/kde.py
+++ b/sklearn/neighbors/kde.py
@@ -144,7 +144,9 @@ def score_samples(self, X):
         Returns
         -------
         density : ndarray, shape (n_samples,)
-            The array of log(density) evaluations.
+            The array of log(density) evaluations. These are normalized to be
+            probability densities, so values will be low for high-dimensional
+            data.
         """
         # The returned density is normalized to the number of points.
         # For it to be a probability, we must scale it.  For this reason
@@ -159,7 +161,7 @@ def score_samples(self, X):
         return log_density
 
     def score(self, X, y=None):
-        """Compute the total log probability under the model.
+        """Compute the total log probability density under the model.
 
         Parameters
         ----------
@@ -170,7 +172,9 @@ def score(self, X, y=None):
         Returns
         -------
         logprob : float
-            Total log-likelihood of the data in X.
+            Total log-likelihood of the data in X. This is normalized to be a
+            probability density, so the value will be low for high-dimensional
+            data.
         """
         return np.sum(self.score_samples(X))