diff --git a/src/main/java/org/apache/commons/math/stat/descriptive/moment/Variance.java b/src/main/java/org/apache/commons/math/stat/descriptive/moment/Variance.java
index e5518e31a..1de139f3e 100644
--- a/src/main/java/org/apache/commons/math/stat/descriptive/moment/Variance.java
+++ b/src/main/java/org/apache/commons/math/stat/descriptive/moment/Variance.java
@@ -517,7 +517,7 @@ public class Variance extends AbstractStorelessUnivariateStatistic implements Se
                 }
 
                 double sumWts = 0;
-                for (int i = 0; i < weights.length; i++) {
+                for (int i = begin; i < begin + length; i++) {
                     sumWts += weights[i];
                 }
 
diff --git a/src/site/xdoc/changes.xml b/src/site/xdoc/changes.xml
index 1d2e38b07..e6f7bc601 100644
--- a/src/site/xdoc/changes.xml
+++ b/src/site/xdoc/changes.xml
@@ -52,6 +52,10 @@ The <action> type attribute can be add,update,fix,remove.
     If the output is not quite correct, check for invisible trailing spaces!
      -->
     <release version="3.0" date="TBD" description="TBD">
+      <action dev="psteitz" type="fix" issue="MATH-704" due-to="Thomas Niedhart">
+        Fixed array indexing error in Variance evaluate method for
+        computing the weighted variance of an array segment.
+      </action>
       <action dev="luc" type="fix" issue="MATH-713" due-to="Thomas Neidhart">
         Fixed case of unconstrained variables that still occur in the objective function
         in simplex solver.
@@ -69,7 +73,7 @@ The <action> type attribute can be add,update,fix,remove.
       </action>
       <action dev="psteitz" type="fix" issue="MATH-691">
         Fixed errors in SummaryStatistics addValue causing variance, mean, or
-        geometric mean statistics not to be updated if they have been overriden
+        geometric mean statistics not to be updated if they have been overridden
         using instances of commons-math supplied implementations.
       </action>
       <action dev="psteitz" type="update" issue="MATH-694">
diff --git a/src/test/java/org/apache/commons/math/stat/descriptive/UnivariateStatisticAbstractTest.java b/src/test/java/org/apache/commons/math/stat/descriptive/UnivariateStatisticAbstractTest.java
index cbb81353a..bc7069978 100644
--- a/src/test/java/org/apache/commons/math/stat/descriptive/UnivariateStatisticAbstractTest.java
+++ b/src/test/java/org/apache/commons/math/stat/descriptive/UnivariateStatisticAbstractTest.java
@@ -113,6 +113,35 @@ public abstract class UnivariateStatisticAbstractTest {
         System.arraycopy(testArray, testArray.length - 5, arrayEnd, 0, 5);
         Assert.assertEquals(stat.evaluate(arrayEnd), stat.evaluate(testArray, testArray.length - 5, 5), 0);
     }
+    
+    @Test
+    public void testEvaluateArraySegmentWeighted() {
+        // See if this statistic computes weighted statistics
+        // If not, skip this test
+        UnivariateStatistic statistic = getUnivariateStatistic();
+        if (!(statistic instanceof WeightedEvaluation)) {
+            return;
+        }
+        final WeightedEvaluation stat = (WeightedEvaluation) getUnivariateStatistic();
+        final double[] arrayZero = new double[5];
+        final double[] weightZero = new double[5];
+        System.arraycopy(testArray, 0, arrayZero, 0, 5);
+        System.arraycopy(testWeightsArray, 0, weightZero, 0, 5);
+        Assert.assertEquals(stat.evaluate(arrayZero, weightZero),
+                stat.evaluate(testArray, testWeightsArray, 0, 5), 0);
+        final double[] arrayOne = new double[5];
+        final double[] weightOne = new double[5];
+        System.arraycopy(testArray, 5, arrayOne, 0, 5);
+        System.arraycopy(testWeightsArray, 5, weightOne, 0, 5);
+        Assert.assertEquals(stat.evaluate(arrayOne, weightOne),
+                stat.evaluate(testArray, testWeightsArray, 5, 5), 0);
+        final double[] arrayEnd = new double[5];
+        final double[] weightEnd = new double[5];
+        System.arraycopy(testArray, testArray.length - 5, arrayEnd, 0, 5);
+        System.arraycopy(testWeightsArray, testArray.length - 5, weightEnd, 0, 5);
+        Assert.assertEquals(stat.evaluate(arrayEnd, weightEnd),
+                stat.evaluate(testArray, testWeightsArray, testArray.length - 5, 5), 0);
+    }
 
     @Test
     public void testCopy() throws Exception {