diff --git a/examples/misc/custom_projection.py b/examples/misc/custom_projection.py
index 50396e7692c9..5858e904a911 100644
--- a/examples/misc/custom_projection.py
+++ b/examples/misc/custom_projection.py
@@ -39,7 +39,7 @@ def __init__(self, round_to=1.0):
             self._round_to = round_to
 
         def __call__(self, x, pos=None):
-            degrees = np.round(np.rad2deg(x) / self._round_to) * self._round_to
+            degrees = round(np.rad2deg(x) / self._round_to) * self._round_to
             if rcParams['text.usetex'] and not rcParams['text.latex.unicode']:
                 return r"$%0.0f^\circ$" % degrees
             else:
diff --git a/examples/statistics/barchart_demo.py b/examples/statistics/barchart_demo.py
index c167e08e2c68..e069fed82672 100644
--- a/examples/statistics/barchart_demo.py
+++ b/examples/statistics/barchart_demo.py
@@ -27,9 +27,9 @@
 Score = namedtuple('Score', ['score', 'percentile'])
 
 # GLOBAL CONSTANTS
-testNames = ['Pacer Test', 'Flexed Arm\n Hang', 'Mile Run', 'Agility',
-             'Push Ups']
-testMeta = dict(zip(testNames, ['laps', 'sec', 'min:sec', 'sec', '']))
+test_names = ['Pacer Test', 'Flexed Arm\n Hang', 'Mile Run', 'Agility',
+              'Push Ups']
+test_meta = dict(zip(test_names, ['laps', 'sec', 'min:sec', 'sec', '']))
 
 
 def attach_ordinal(num):
@@ -54,7 +54,7 @@ def format_score(scr, test):
     info (like for pushups) then don't add the carriage return to
     the string
     """
-    md = testMeta[test]
+    md = test_meta[test]
     if md:
         return '{0}\n{1}'.format(scr, md)
     else:
@@ -63,10 +63,10 @@ def format_score(scr, test):
 
 def format_ycursor(y):
     y = int(y)
-    if y < 0 or y >= len(testNames):
+    if y < 0 or y >= len(test_names):
         return ''
     else:
-        return testNames[y]
+        return test_names[y]
 
 
 def plot_student_results(student, scores, cohort_size):
@@ -75,12 +75,12 @@ def plot_student_results(student, scores, cohort_size):
     fig.subplots_adjust(left=0.115, right=0.88)
     fig.canvas.set_window_title('Eldorado K-8 Fitness Chart')
 
-    pos = np.arange(len(testNames))
+    pos = np.arange(len(test_names))
 
-    rects = ax1.barh(pos, [scores[k].percentile for k in testNames],
+    rects = ax1.barh(pos, [scores[k].percentile for k in test_names],
                      align='center',
                      height=0.5,
-                     tick_label=testNames)
+                     tick_label=test_names)
 
     ax1.set_title(student.name)
 
@@ -95,7 +95,7 @@ def plot_student_results(student, scores, cohort_size):
     # Set the right-hand Y-axis ticks and labels
     ax2 = ax1.twinx()
 
-    scoreLabels = [format_score(scores[k].score, k) for k in testNames]
+    scoreLabels = [format_score(scores[k].score, k) for k in test_names]
 
     # set the tick locations
     ax2.set_yticks(pos)
@@ -156,11 +156,11 @@ def plot_student_results(student, scores, cohort_size):
 
 
 student = Student('Johnny Doe', 2, 'boy')
-scores = dict(zip(testNames,
-                  (Score(v, p) for v, p in
-                   zip(['7', '48', '12:52', '17', '14'],
-                       np.round(np.random.uniform(0, 1,
-                                                  len(testNames)) * 100, 0)))))
+scores = dict(zip(
+    test_names,
+    (Score(v, p) for v, p in
+     zip(['7', '48', '12:52', '17', '14'],
+         np.round(np.random.uniform(0, 100, len(test_names)), 0)))))
 cohort_size = 62  # The number of other 2nd grade boys
 
 arts = plot_student_results(student, scores, cohort_size)
diff --git a/examples/statistics/boxplot_demo.py b/examples/statistics/boxplot_demo.py
index 570e9a2428f7..c6fc79cfc008 100644
--- a/examples/statistics/boxplot_demo.py
+++ b/examples/statistics/boxplot_demo.py
@@ -164,7 +164,7 @@
 # X-axis tick labels with the sample medians to aid in comparison
 # (just use two decimal places of precision)
 pos = np.arange(num_boxes) + 1
-upper_labels = [str(np.round(s, 2)) for s in medians]
+upper_labels = [str(round(s, 2)) for s in medians]
 weights = ['bold', 'semibold']
 for tick, label in zip(range(num_boxes), ax1.get_xticklabels()):
     k = tick % 2
diff --git a/examples/ticks_and_spines/date_index_formatter2.py b/examples/ticks_and_spines/date_index_formatter2.py
index c59342e134a7..ce36589b9d91 100644
--- a/examples/ticks_and_spines/date_index_formatter2.py
+++ b/examples/ticks_and_spines/date_index_formatter2.py
@@ -32,7 +32,7 @@ def __init__(self, dates, fmt='%Y-%m-%d'):
 
     def __call__(self, x, pos=0):
         'Return the label for time x at position pos'
-        ind = int(np.round(x))
+        ind = int(round(x))
         if ind >= len(self.dates) or ind < 0:
             return ''
         return dates.num2date(self.dates[ind]).strftime(self.fmt)
diff --git a/lib/matplotlib/backends/backend_agg.py b/lib/matplotlib/backends/backend_agg.py
index b2ade30edd00..c5545ae80bc3 100644
--- a/lib/matplotlib/backends/backend_agg.py
+++ b/lib/matplotlib/backends/backend_agg.py
@@ -163,8 +163,8 @@ def draw_mathtext(self, gc, x, y, s, prop, angle):
 
         xd = descent * sin(radians(angle))
         yd = descent * cos(radians(angle))
-        x = np.round(x + ox + xd)
-        y = np.round(y - oy + yd)
+        x = round(x + ox + xd)
+        y = round(y - oy + yd)
         self._renderer.draw_text_image(font_image, x, y + 1, angle, gc)
 
     def draw_text(self, gc, x, y, s, prop, angle, ismath=False, mtext=None):
@@ -190,11 +190,11 @@ def draw_text(self, gc, x, y, s, prop, angle, ismath=False, mtext=None):
         xo, yo = font.get_bitmap_offset()
         xo /= 64.0
         yo /= 64.0
-        xd = -d * sin(radians(angle))
+        xd = d * sin(radians(angle))
         yd = d * cos(radians(angle))
-
-        self._renderer.draw_text_image(
-            font, np.round(x - xd + xo), np.round(y + yd + yo) + 1, angle, gc)
+        x = round(x + xo + xd)
+        y = round(y + yo + yd)
+        self._renderer.draw_text_image(font, x, y + 1, angle, gc)
 
     def get_text_width_height_descent(self, s, prop, ismath):
         # docstring inherited
@@ -235,9 +235,8 @@ def draw_tex(self, gc, x, y, s, prop, angle, ismath='TeX!', mtext=None):
         w, h, d = self.get_text_width_height_descent(s, prop, ismath)
         xd = d * sin(radians(angle))
         yd = d * cos(radians(angle))
-        x = np.round(x + xd)
-        y = np.round(y + yd)
-
+        x = round(x + xd)
+        y = round(y + yd)
         self._renderer.draw_text_image(Z, x, y, angle, gc)
 
     def get_canvas_width_height(self):
diff --git a/lib/matplotlib/backends/backend_pdf.py b/lib/matplotlib/backends/backend_pdf.py
index 4e5042e96659..34d826c75816 100644
--- a/lib/matplotlib/backends/backend_pdf.py
+++ b/lib/matplotlib/backends/backend_pdf.py
@@ -903,9 +903,8 @@ def cvt(length, upe=font.units_per_EM, nearest=True):
             "Convert font coordinates to PDF glyph coordinates"
             value = length / upe * 1000
             if nearest:
-                return np.round(value)
-            # Perhaps best to round away from zero for bounding
-            # boxes and the like
+                return round(value)
+            # Best(?) to round away from zero for bounding boxes and the like.
             if value < 0:
                 return math.floor(value)
             else:
diff --git a/lib/matplotlib/colors.py b/lib/matplotlib/colors.py
index baec148e8f15..7e9311326b11 100644
--- a/lib/matplotlib/colors.py
+++ b/lib/matplotlib/colors.py
@@ -325,7 +325,8 @@ def to_rgb(c):
 
 
 def to_hex(c, keep_alpha=False):
-    """Convert *c* to a hex color.
+    """
+    Convert *c* to a hex color.
 
     Uses the ``#rrggbb`` format if *keep_alpha* is False (the default),
     ``#rrggbbaa`` otherwise.
@@ -333,8 +334,7 @@ def to_hex(c, keep_alpha=False):
     c = to_rgba(c)
     if not keep_alpha:
         c = c[:3]
-    return "#" + "".join(format(int(np.round(val * 255)), "02x")
-                         for val in c)
+    return "#" + "".join(format(int(round(val * 255)), "02x") for val in c)
 
 
 ### Backwards-compatible color-conversion API
diff --git a/lib/matplotlib/dates.py b/lib/matplotlib/dates.py
index 3c8464e3da3f..e96af84f27b1 100644
--- a/lib/matplotlib/dates.py
+++ b/lib/matplotlib/dates.py
@@ -640,7 +640,7 @@ def __init__(self, t, fmt, tz=None):
 
     def __call__(self, x, pos=0):
         'Return the label for time *x* at position *pos*'
-        ind = int(np.round(x))
+        ind = int(round(x))
         if ind >= len(self.t) or ind <= 0:
             return ''
         return num2date(self.t[ind], self.tz).strftime(self.fmt)
diff --git a/lib/matplotlib/image.py b/lib/matplotlib/image.py
index da5d7d4cad77..c2e4db87ca4b 100644
--- a/lib/matplotlib/image.py
+++ b/lib/matplotlib/image.py
@@ -147,7 +147,7 @@ def flush_images():
                     gc = renderer.new_gc()
                     gc.set_clip_rectangle(parent.bbox)
                     gc.set_clip_path(parent.get_clip_path())
-                    renderer.draw_image(gc, np.round(l), np.round(b), data)
+                    renderer.draw_image(gc, round(l), round(b), data)
                     gc.restore()
             del image_group[:]
 
@@ -971,8 +971,8 @@ def make_image(self, renderer, magnification=1.0, unsampled=False):
             self.is_grayscale = False
         x0, y0, v_width, v_height = self.axes.viewLim.bounds
         l, b, r, t = self.axes.bbox.extents
-        width = (np.round(r) + 0.5) - (np.round(l) - 0.5)
-        height = (np.round(t) + 0.5) - (np.round(b) - 0.5)
+        width = (round(r) + 0.5) - (round(l) - 0.5)
+        height = (round(t) + 0.5) - (round(b) - 0.5)
         width *= magnification
         height *= magnification
         im = _image.pcolor(self._Ax, self._Ay, A,
@@ -1086,11 +1086,11 @@ def make_image(self, renderer, magnification=1.0, unsampled=False):
         bg = mcolors.to_rgba(fc, 0)
         bg = (np.array(bg)*255).astype(np.uint8)
         l, b, r, t = self.axes.bbox.extents
-        width = (np.round(r) + 0.5) - (np.round(l) - 0.5)
-        height = (np.round(t) + 0.5) - (np.round(b) - 0.5)
+        width = (round(r) + 0.5) - (round(l) - 0.5)
+        height = (round(t) + 0.5) - (round(b) - 0.5)
         # The extra cast-to-int is only needed for python2
-        width = int(np.round(width * magnification))
-        height = int(np.round(height * magnification))
+        width = int(round(width * magnification))
+        height = int(round(height * magnification))
         if self._rgbacache is None:
             A = self.to_rgba(self._A, bytes=True)
             self._rgbacache = A
diff --git a/lib/matplotlib/patches.py b/lib/matplotlib/patches.py
index 4b43dcb6f55d..e4e3650f6f67 100644
--- a/lib/matplotlib/patches.py
+++ b/lib/matplotlib/patches.py
@@ -2241,9 +2241,9 @@ def _get_sawtooth_vertices(self, x0, y0, width, height, mutation_size):
 
             # the sizes of the vertical and horizontal sawtooth are
             # separately adjusted to fit the given box size.
-            dsx_n = int(np.round((width - tooth_size) / (tooth_size * 2))) * 2
+            dsx_n = int(round((width - tooth_size) / (tooth_size * 2))) * 2
             dsx = (width - tooth_size) / dsx_n
-            dsy_n = int(np.round((height - tooth_size) / (tooth_size * 2))) * 2
+            dsy_n = int(round((height - tooth_size) / (tooth_size * 2))) * 2
             dsy = (height - tooth_size) / dsy_n
 
             x0, y0 = x0 - pad + tooth_size2, y0 - pad + tooth_size2
diff --git a/lib/matplotlib/projections/geo.py b/lib/matplotlib/projections/geo.py
index 33a00387a427..a5d6efb5f055 100644
--- a/lib/matplotlib/projections/geo.py
+++ b/lib/matplotlib/projections/geo.py
@@ -22,8 +22,7 @@ def __init__(self, round_to=1.0):
             self._round_to = round_to
 
         def __call__(self, x, pos=None):
-            degrees = (x / np.pi) * 180.0
-            degrees = np.round(degrees / self._round_to) * self._round_to
+            degrees = round(np.rad2deg(x) / self._round_to) * self._round_to
             if rcParams['text.usetex'] and not rcParams['text.latex.unicode']:
                 return r"$%0.0f^\circ$" % degrees
             else:
diff --git a/lib/matplotlib/tests/test_ticker.py b/lib/matplotlib/tests/test_ticker.py
index 61140f954b9f..4859fff48b56 100644
--- a/lib/matplotlib/tests/test_ticker.py
+++ b/lib/matplotlib/tests/test_ticker.py
@@ -621,7 +621,7 @@ def _sub_labels(self, axis, subs=()):
         minor_tlocs = axis.get_minorticklocs()
         fmt.set_locs(minor_tlocs)
         coefs = minor_tlocs / 10**(np.floor(np.log10(minor_tlocs)))
-        label_expected = [np.round(c) in subs for c in coefs]
+        label_expected = [round(c) in subs for c in coefs]
         label_test = [fmt(x) != '' for x in minor_tlocs]
         assert label_test == label_expected
 
diff --git a/lib/matplotlib/ticker.py b/lib/matplotlib/ticker.py
index 5039b0230cf6..62e6eff5282b 100644
--- a/lib/matplotlib/ticker.py
+++ b/lib/matplotlib/ticker.py
@@ -1012,8 +1012,8 @@ def __call__(self, x, pos=None):
         # only label the decades
         fx = math.log(x) / math.log(b)
         is_x_decade = is_close_to_int(fx)
-        exponent = np.round(fx) if is_x_decade else np.floor(fx)
-        coeff = np.round(x / b ** exponent)
+        exponent = round(fx) if is_x_decade else np.floor(fx)
+        coeff = round(x / b ** exponent)
 
         if self.labelOnlyBase and not is_x_decade:
             return ''
@@ -1116,8 +1116,8 @@ def __call__(self, x, pos=None):
         # only label the decades
         fx = math.log(x) / math.log(b)
         is_x_decade = is_close_to_int(fx)
-        exponent = np.round(fx) if is_x_decade else np.floor(fx)
-        coeff = np.round(x / b ** exponent)
+        exponent = round(fx) if is_x_decade else np.floor(fx)
+        coeff = round(x / b ** exponent)
         if is_x_decade:
             fx = round(fx)
 
diff --git a/lib/matplotlib/widgets.py b/lib/matplotlib/widgets.py
index 0f0114d89a84..83c10c5f7ffe 100644
--- a/lib/matplotlib/widgets.py
+++ b/lib/matplotlib/widgets.py
@@ -393,8 +393,8 @@ def __init__(self, ax, label, valmin, valmax, valinit=0.5, valfmt='%1.2f',
     def _value_in_bounds(self, val):
         """Makes sure *val* is with given bounds."""
         if self.valstep:
-            val = np.round((val - self.valmin)/self.valstep)*self.valstep
-            val += self.valmin
+            val = (self.valmin
+                   + round((val - self.valmin) / self.valstep) * self.valstep)
 
         if val <= self.valmin:
             if not self.closedmin:
diff --git a/lib/mpl_toolkits/mplot3d/axes3d.py b/lib/mpl_toolkits/mplot3d/axes3d.py
index 624d46f003ae..0564281b625f 100644
--- a/lib/mpl_toolkits/mplot3d/axes3d.py
+++ b/lib/mpl_toolkits/mplot3d/axes3d.py
@@ -2042,7 +2042,7 @@ def _3d_extend_contour(self, cset, stride=5):
 
             polyverts = []
             normals = []
-            nsteps = np.round(len(topverts[0]) / stride)
+            nsteps = round(len(topverts[0]) / stride)
             if nsteps <= 1:
                 if len(topverts[0]) > 1:
                     nsteps = 2
@@ -2050,13 +2050,13 @@ def _3d_extend_contour(self, cset, stride=5):
                     continue
 
             stepsize = (len(topverts[0]) - 1) / (nsteps - 1)
-            for i in range(int(np.round(nsteps)) - 1):
-                i1 = int(np.round(i * stepsize))
-                i2 = int(np.round((i + 1) * stepsize))
+            for i in range(int(round(nsteps)) - 1):
+                i1 = int(round(i * stepsize))
+                i2 = int(round((i + 1) * stepsize))
                 polyverts.append([topverts[0][i1],
-                    topverts[0][i2],
-                    botverts[0][i2],
-                    botverts[0][i1]])
+                                  topverts[0][i2],
+                                  botverts[0][i2],
+                                  botverts[0][i1]])
 
             # all polygons have 4 vertices, so vectorize
             polyverts = np.array(polyverts)