diff --git a/lib/matplotlib/axes/_axes.py b/lib/matplotlib/axes/_axes.py
index ffc794ee4e60..19c5a3a76a99 100644
--- a/lib/matplotlib/axes/_axes.py
+++ b/lib/matplotlib/axes/_axes.py
@@ -3147,16 +3147,16 @@ def boxplot(self, x, notch=None, sym=None, vert=None, whis=None,
            If True produces boxes with the Patch artist
 
         showmeans : bool, default = False
-           If True, will toggle one the rendering of the means
+           If True, will toggle on the rendering of the means
 
         showcaps : bool, default = True
-           If True, will toggle one the rendering of the caps
+           If True, will toggle on the rendering of the caps
 
         showbox : bool, default = True
-           If True, will toggle one the rendering of box
+           If True, will toggle on the rendering of the box
 
         showfliers : bool, default = True
-           If True, will toggle one the rendering of the fliers
+           If True, will toggle on the rendering of the fliers
 
         boxprops : dict or None (default)
            If provided, will set the plotting style of the boxes
@@ -3412,16 +3412,16 @@ def bxp(self, bxpstats, positions=None, widths=None, vert=True,
           If `True`, will produce a notched box plot
 
         showmeans : bool, default = False
-          If `True`, will toggle one the rendering of the means
+          If `True`, will toggle on the rendering of the means
 
         showcaps  : bool, default = True
-          If `True`, will toggle one the rendering of the caps
+          If `True`, will toggle on the rendering of the caps
 
         showbox  : bool, default = True
-          If `True`, will toggle one the rendering of box
+          If `True`, will toggle on the rendering of the box
 
         showfliers : bool, default = True
-          If `True`, will toggle one the rendering of the fliers
+          If `True`, will toggle on the rendering of the fliers
 
         boxprops : dict or None (default)
           If provided, will set the plotting style of the boxes
@@ -6225,7 +6225,6 @@ def _normalize_input(inp, ename='input'):
             # we return patches, so put it back in the expected order
             patches.reverse()
 
-            # adopted from adjust_x/ylim part of the bar method
             if orientation == 'horizontal':
                 xmin0 = max(_saved_bounds[0]*0.9, minimum)
                 xmax = self.dataLim.intervalx[1]
@@ -6237,16 +6236,22 @@ def _normalize_input(inp, ename='input'):
                 xmin = min(xmin0, xmin)
                 self.dataLim.intervalx = (xmin, xmax)
             elif orientation == 'vertical':
-                ymin0 = max(_saved_bounds[1]*0.9, minimum)
-                ymax = self.dataLim.intervaly[1]
 
-                for m in n:
-                    if np.sum(m) > 0:  # make sure there are counts
-                        ymin = np.amin(m[m != 0])
-                        # filter out the 0 height bins
-                ymin = max(ymin*0.9, minimum) if not input_empty else minimum
-                ymin = min(ymin0, ymin)
-                self.dataLim.intervaly = (ymin, ymax)
+                # If norm, autoscale axis
+                if normed:
+                    self.set_autoscaley_on(True)
+                else:
+                    ymin0 = max(_saved_bounds[1]*0.9, minimum)
+                    ymax = self.dataLim.intervaly[1]
+
+                    for m in n:
+                        if np.sum(m) > 0:  # make sure there are counts
+                            ymin = np.amin(m[m != 0])
+                            # filter out the 0 height bins
+                    ymin = max(ymin*0.9, minimum) if not input_empty else minimum
+                    ymin = min(ymin0, ymin)
+                    self.dataLim.intervaly = (ymin, ymax)
+
 
         if label is None:
             labels = [None]
diff --git a/lib/matplotlib/tight_layout.py b/lib/matplotlib/tight_layout.py
index 18a19370a092..3b2d6bb33030 100644
--- a/lib/matplotlib/tight_layout.py
+++ b/lib/matplotlib/tight_layout.py
@@ -169,19 +169,34 @@ def auto_adjust_subplotpars(fig, renderer,
     if not margin_left:
         margin_left = max([sum(s) for s in hspaces[::cols + 1]] + [0])
         margin_left += pad_inches / fig_width_inch
+        # bugfix for bug-#5456
+        # simple check for the error
+        if margin_left > 0.5:
+            margin_left = 0.05
 
     if not margin_right:
         margin_right = max([sum(s) for s in hspaces[cols::cols + 1]] + [0])
         margin_right += pad_inches / fig_width_inch
+        # bugfix for bug-#5456
+        # simple check for the error
+        if margin_right > 0.5:
+            margin_right = 0.05
 
     if not margin_top:
         margin_top = max([sum(s) for s in vspaces[:cols]] + [0])
         margin_top += pad_inches / fig_height_inch
+         # bugfix for bug-#5456
+        if margin_top > 0.5:
+            margin_top = 0.05
 
     if not margin_bottom:
         margin_bottom = max([sum(s) for s in vspaces[-cols:]] + [0])
         margin_bottom += pad_inches / fig_height_inch
 
+        # bugfix for bug-#5456
+        if margin_bottom > 0.5:
+            margin_bottom = 0.05
+
     kwargs = dict(left=margin_left,
                   right=1 - margin_right,
                   bottom=margin_bottom,