diff --git a/framework/include/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.h b/framework/include/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.h
index d16d34560a43..8e77ccb7d38f 100644
--- a/framework/include/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.h
+++ b/framework/include/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.h
@@ -26,16 +26,19 @@ class ExtraIDIntegralVectorPostprocessor : public ElementVariableVectorPostproce
   virtual void finalize() override;
   virtual void threadJoin(const UserObject & uo) override;
   /// Return extra ID list
-  const std::vector<VectorPostprocessorValue *> & getUniqueExtraIds() const
-  {
-    return _var_extra_ids;
-  };
+  const std::vector<VectorPostprocessorValue *> & getUniqueExtraIds() const { return _extra_ids; };
   /// Return Integral values
-  const std::vector<VectorPostprocessorValue *> & getIntegrals() const { return _var_integrals; };
+  const std::vector<VectorPostprocessorValue *> & getIntegrals() const { return _integrals; };
 
 protected:
+  /// whether or not to compute volume average
+  const bool _average;
   /// Number of variables to be integrated
   const unsigned int _nvar;
+  /// Number of material properties to be integrated
+  const unsigned int _nprop;
+  /// Name of material properties
+  const std::vector<MaterialPropertyName> _prop_names;
   /// Extra IDs in use
   const std::vector<ExtraElementIDName> _extra_id;
   /// Number of extra IDs in use
@@ -43,11 +46,15 @@ class ExtraIDIntegralVectorPostprocessor : public ElementVariableVectorPostproce
   // Map of element ids to parsed vpp ids
   std::unordered_map<dof_id_type, dof_id_type> _unique_vpp_ids;
   /// Vectors holding extra IDs
-  std::vector<VectorPostprocessorValue *> _var_extra_ids;
+  std::vector<VectorPostprocessorValue *> _extra_ids;
   /// Coupled MOOSE variables to be integrated
   std::vector<const MooseVariable *> _vars;
   /// Quadrature point values of coupled MOOSE variables
   std::vector<const VariableValue *> _var_values;
-  /// Vectors holding variable integrals over extra IDs
-  std::vector<VectorPostprocessorValue *> _var_integrals;
+  /// Material properties to be integrated
+  std::vector<const MaterialProperty<Real> *> _props;
+  /// Vectors holding integrals over extra IDs
+  std::vector<VectorPostprocessorValue *> _integrals;
+  /// Vector holding the volume of extra IDs
+  std::vector<Real> _volumes;
 };
diff --git a/framework/src/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.C b/framework/src/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.C
index caf6ea670f2b..d627ee5237c7 100644
--- a/framework/src/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.C
+++ b/framework/src/vectorpostprocessors/ExtraIDIntegralVectorPostprocessor.C
@@ -20,19 +20,31 @@ InputParameters
 ExtraIDIntegralVectorPostprocessor::validParams()
 {
   InputParameters params = ElementVariableVectorPostprocessor::validParams();
+  params.addParam<std::vector<MaterialPropertyName>>(
+      "mat_prop", "The names of material properties that this VectorPostprocessor operates on");
   params.addRequiredParam<std::vector<ExtraElementIDName>>(
       "id_name", "List of extra element ID names by which to separate integral(s).");
-  params.addClassDescription("Integrates variables based on extra element IDs");
+  params.addParam<bool>("average", false, "Whether or not to compute volume average");
+  params.addClassDescription("Integrates or averages variables based on extra element IDs");
+  params.makeParamNotRequired("variable");
   return params;
 }
 
 ExtraIDIntegralVectorPostprocessor::ExtraIDIntegralVectorPostprocessor(
     const InputParameters & parameters)
   : ElementVariableVectorPostprocessor(parameters),
-    _nvar(coupledComponents("variable")),
+    _average(getParam<bool>("average")),
+    _nvar(isParamValid("variable") ? coupledComponents("variable") : 0),
+    _nprop(isParamValid("mat_prop") ? getParam<std::vector<MaterialPropertyName>>("mat_prop").size()
+                                    : 0),
+    _prop_names(isParamValid("mat_prop") ? getParam<std::vector<MaterialPropertyName>>("mat_prop")
+                                         : std::vector<MaterialPropertyName>()),
     _extra_id(getParam<std::vector<ExtraElementIDName>>("id_name")),
     _n_extra_id(_extra_id.size())
 {
+  if (!_nvar && !_nprop)
+    mooseError("Neither 'variable' nor 'mat_prop' was specified.");
+
   // create map of element ids to parsed vpp ids
   _unique_vpp_ids =
       MooseMeshUtils::getExtraIDUniqueCombinationMap(_mesh.getMesh(), blockIDs(), _extra_id);
@@ -57,25 +69,37 @@ ExtraIDIntegralVectorPostprocessor::ExtraIDIntegralVectorPostprocessor(
     p.resize(extra_ids.size());
     for (auto it : extra_ids)
       p[it.first] = it.second;
-    _var_extra_ids.push_back(&p);
+    _extra_ids.push_back(&p);
   }
 
-  // declare vectors containing integral values
+  // declare vectors containing variable integral values
   for (unsigned int i = 0; i < _nvar; ++i)
   {
     _vars.push_back(getVar("variable", i));
     _var_values.push_back(&coupledValue("variable", i));
     auto & p = declareVector(_vars[i]->name());
-    p.resize((*_var_extra_ids[0]).size());
-    _var_integrals.push_back(&p);
+    p.resize((*_extra_ids[0]).size());
+    _integrals.push_back(&p);
+  }
+
+  // declare vectors containing material property integral values
+  for (auto & name : _prop_names)
+  {
+    _props.push_back(&getMaterialPropertyByName<Real>(name));
+    auto & p = declareVector(name);
+    p.resize((*_extra_ids[0]).size());
+    _integrals.push_back(&p);
   }
 }
 
 void
 ExtraIDIntegralVectorPostprocessor::initialize()
 {
-  for (auto & var_integral : _var_integrals)
-    std::fill(var_integral->begin(), var_integral->end(), 0);
+  for (auto & integral : _integrals)
+    std::fill(integral->begin(), integral->end(), 0);
+
+  if (_average)
+    _volumes.assign((*_extra_ids[0]).size(), 0);
 }
 
 void
@@ -83,19 +107,37 @@ ExtraIDIntegralVectorPostprocessor::execute()
 {
   if (hasBlocks(_current_elem->subdomain_id()))
   {
+    unsigned int i = 0;
     auto ipos = _unique_vpp_ids[_current_elem->id()];
-    for (unsigned int ivar = 0; ivar < _nvar; ++ivar)
+    for (unsigned int ivar = 0; ivar < _nvar; ++ivar, ++i)
       if (_vars[ivar]->hasBlocks(_current_elem->subdomain_id()))
         for (unsigned int qp = 0; qp < _qrule->n_points(); qp++)
-          (*_var_integrals[ivar])[ipos] += _JxW[qp] * _coord[qp] * (*_var_values[ivar])[qp];
+          (*_integrals[i])[ipos] += _JxW[qp] * _coord[qp] * (*_var_values[ivar])[qp];
+
+    for (unsigned int iprop = 0; iprop < _nprop; ++iprop, ++i)
+      if (hasBlockMaterialProperty<Real>(_prop_names[i]))
+        for (unsigned int qp = 0; qp < _qrule->n_points(); qp++)
+          (*_integrals[i])[ipos] += _JxW[qp] * _coord[qp] * (*_props[iprop])[qp];
+
+    if (_average)
+      _volumes[ipos] += _current_elem->volume();
   }
 }
 
 void
 ExtraIDIntegralVectorPostprocessor::finalize()
 {
-  for (auto & var_integral : _var_integrals)
-    gatherSum(*var_integral);
+  for (auto & integral : _integrals)
+    gatherSum(*integral);
+
+  if (_average)
+  {
+    gatherSum(_volumes);
+
+    for (auto & integral : _integrals)
+      for (unsigned int i = 0; i < integral->size(); ++i)
+        (*integral)[i] /= _volumes[i];
+  }
 }
 
 void
@@ -103,7 +145,11 @@ ExtraIDIntegralVectorPostprocessor::threadJoin(const UserObject & s)
 {
   const auto & sibling = static_cast<const ExtraIDIntegralVectorPostprocessor &>(s);
 
-  for (unsigned int ivar = 0; ivar < _nvar; ++ivar)
-    for (size_t i = 0; i < (*_var_integrals[ivar]).size(); ++i)
-      (*_var_integrals[ivar])[i] += (*sibling._var_integrals[ivar])[i];
+  for (unsigned int i = 0; i < _integrals.size(); ++i)
+    for (size_t j = 0; j < (*_integrals[i]).size(); ++j)
+      (*_integrals[i])[j] += (*sibling._integrals[i])[j];
+
+  if (_average)
+    for (unsigned int i = 0; i < _volumes.size(); ++i)
+      _volumes[i] += sibling._volumes[i];
 }