diff --git a/datascience/util.py b/datascience/util.py
index ffa1d742..3ffdb895 100644
--- a/datascience/util.py
+++ b/datascience/util.py
@@ -88,10 +88,10 @@ def plot_normal_cdf(rbound=None, lbound=None, mean=0, sd=1):
     llabel = lbound
     if rbound is None:
         rbound = inf + mean
-        rlabel = "$\infty$"
+        rlabel = r"$\infty$"
     if lbound is None:
         lbound = -inf + mean
-        llabel = "-$\infty$"
+        llabel = r"-$\infty$"
     pdf_range = np.arange(-inf + mean, inf + mean, step)
     plt.plot(pdf_range, stats.norm.pdf(pdf_range, loc=mean, scale=sd), color='k', lw=1)
     cdf_range = np.arange(lbound, rbound + step, step)
@@ -102,8 +102,8 @@ def plot_normal_cdf(rbound=None, lbound=None, mean=0, sd=1):
         plt.fill_between(cdf_range, stats.norm.pdf(cdf_range, loc=mean, scale=sd), color='darkblue')
     plt.ylim(0, stats.norm.pdf(0, loc=0, scale=sd) * 1.25)
     plt.xlabel('z')
-    plt.ylabel('$\phi$(z)', rotation=90)
-    plt.title("Normal Curve ~ ($\mu$ = {0}, $\sigma$ = {1}) "
+    plt.ylabel(r'$\phi$(z)', rotation=90)
+    plt.title(r"Normal Curve ~ ($\mu$ = {0}, $\sigma$ = {1}) "
               "{2} < z < {3}".format(mean, sd, llabel, rlabel), fontsize=16)
     plt.show()
 
diff --git a/tests/Charts.ipynb b/tests/Charts.ipynb
index 8cf34aa2..79533f07 100644
--- a/tests/Charts.ipynb
+++ b/tests/Charts.ipynb
@@ -4,18 +4,7 @@
    "cell_type": "code",
    "execution_count": 1,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/Users/ahemani/Development/data8/datascience/datascience/tables.py:17: MatplotlibDeprecationWarning: The 'warn' parameter of use() is deprecated since Matplotlib 3.1 and will be removed in 3.3.  If any parameter follows 'warn', they should be pass as keyword, not positionally.\n",
-      "  matplotlib.use('agg', warn=False)\n",
-      "/Users/ahemani/Development/data8/datascience/datascience/util.py:10: MatplotlibDeprecationWarning: The 'warn' parameter of use() is deprecated since Matplotlib 3.1 and will be removed in 3.3.  If any parameter follows 'warn', they should be pass as keyword, not positionally.\n",
-      "  matplotlib.use('agg', warn=False)\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "# HIDDEN\n",
     "from datascience import *\n",
@@ -811,7 +800,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/Users/ahemani/Development/data8/datascience/datascience/tables.py:2476: UserWarning: pivot_hist is deprecated; use hist(value_column_label, group=pivot_column_label), or with side_by_side=True if you really want side-by-side bars.\n",
+      "/Users/ahemani/Development/data8/datascience/datascience/tables.py:2497: UserWarning: pivot_hist is deprecated; use hist(value_column_label, group=pivot_column_label), or with side_by_side=True if you really want side-by-side bars.\n",
       "  warnings.warn(\"pivot_hist is deprecated; use \"\n"
      ]
     },
@@ -944,7 +933,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -968,7 +957,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -990,7 +979,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -1010,7 +999,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -1029,16 +1018,14 @@
    "metadata": {},
    "outputs": [
     {
-     "ename": "ValueError",
-     "evalue": "The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
-      "\u001b[0;32m<ipython-input-51-89cf0a3c69b9>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mbins\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1.1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0.2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbins\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbins\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mleft_end\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.4\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
-      "\u001b[0;32m~/Development/data8/datascience/datascience/tables.py\u001b[0m in \u001b[0;36mhist\u001b[0;34m(self, overlay, bins, bin_column, unit, counts, group, side_by_side, left_end, right_end, width, height, *columns, **vargs)\u001b[0m\n\u001b[1;32m   2656\u001b[0m                     \u001b[0mleft_end\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlabels\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0missubdtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdtype\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnumber\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2657\u001b[0m             \u001b[0;32melif\u001b[0m \u001b[0mright_end\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2658\u001b[0;31m                 \u001b[0;32mif\u001b[0m \u001b[0mbins\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mbins\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2659\u001b[0m                     \u001b[0mright_end\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mbins\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2660\u001b[0m                 \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;31mValueError\u001b[0m: The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()"
-     ]
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -1048,45 +1035,100 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 52,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "t.hist(bins=bins, left_end=0.5)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 53,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "t.hist(bins=bins, left_end=0.5, right_end=0.6)\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 54,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "t.hist(bins=bins, left_end=0.4, right_end=0.5)\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 55,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "t.hist(bins=bins, left_end=0.45, right_end=0.55)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 56,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "# Testing histogram shading, pt. 2\n",
     "t2 = Table().with_column(\"val\", np.random.normal(size=1000))\n",
@@ -1095,32 +1137,108 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 57,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "t2.hist(left_end=-0.5, right_end=0.5)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 58,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "t2.hist(right_end=2)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 59,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x864 with 3 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "# Testing shaded histograms, pt. 3\n",
     "more_cats.hist('mpg', group='cat', overlay=False, left_end=20)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 60,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Test Normal CDF Plotting\n",
+    "plot_normal_cdf()\n",
+    "plot_normal_cdf(mean=5, sd=3)\n",
+    "plot_normal_cdf(mean=25, sd=5, lbound=-5, rbound=30)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,