diff --git a/js/common/model/CAVSceneModel.ts b/js/common/model/CAVSceneModel.ts
index 626435c4..83b9abd2 100644
--- a/js/common/model/CAVSceneModel.ts
+++ b/js/common/model/CAVSceneModel.ts
@@ -72,7 +72,7 @@ export default class CAVSceneModel implements TModel {
   // Starting at 0, iterate through the index of the kickers. This updates the SoccerPlayer.isActiveProperty to show the current kicker
   private readonly activeKickerIndexProperty: NumberProperty;
 
-  public constructor( options: { tandem: Tandem } ) {
+  public constructor( initialDistribution: ReadonlyArray<number>, options: { tandem: Tandem } ) {
 
     const updateDataMeasures = () => this.updateDataMeasures();
 
@@ -177,7 +177,7 @@ export default class CAVSceneModel implements TModel {
     this.hasKickableSoccerBallsProperty = new DerivedProperty( [ this.numberOfUnkickedBallsProperty ],
       numberOfUnkickedBalls => numberOfUnkickedBalls > 0 );
 
-    this.distributionProperty = new Property( CAVSceneModel.chooseDistribution(), {
+    this.distributionProperty = new Property( initialDistribution, {
       tandem: options.tandem.createTandem( 'distributionProperty' ),
       phetioValueType: ArrayIO( NumberIO ),
       phetioDocumentation: 'The distribution of probabilities of where the balls will land is represented as an un-normalized array of non-negative, floating-point numbers, one value for each location in the physical range',
@@ -278,6 +278,8 @@ export default class CAVSceneModel implements TModel {
    * Resets the model.
    */
   public reset(): void {
+
+    // TODO: This should only be in MedianSceneModel and MeanAndMedianSceneModel
     this.distributionProperty.value = CAVSceneModel.chooseDistribution();
 
     this.clearData();
@@ -384,7 +386,7 @@ export default class CAVSceneModel implements TModel {
     }
   }
 
-  private static chooseDistribution(): ReadonlyArray<number> {
+  public static chooseDistribution(): ReadonlyArray<number> {
     return dotRandom.nextBoolean() ? CAVConstants.LEFT_SKEWED_DATA : CAVConstants.RIGHT_SKEWED_DATA;
   }
 
diff --git a/js/mean-and-median/model/MeanAndMedianModel.ts b/js/mean-and-median/model/MeanAndMedianModel.ts
index eac8e747..e09aafed 100644
--- a/js/mean-and-median/model/MeanAndMedianModel.ts
+++ b/js/mean-and-median/model/MeanAndMedianModel.ts
@@ -27,7 +27,7 @@ export default class MeanAndMedianModel extends CAVModel {
 
   public constructor( options: { tandem: Tandem } ) {
 
-    const scene = new CAVSceneModel( { tandem: options.tandem.createTandem( 'sceneModel' ) } );
+    const scene = new CAVSceneModel( CAVSceneModel.chooseDistribution(), { tandem: options.tandem.createTandem( 'sceneModel' ) } );
     super( [ scene ], {
       ...options,
       instrumentMeanPredictionProperty: true
diff --git a/js/median/model/MedianModel.ts b/js/median/model/MedianModel.ts
index 3fa5773a..1f63bc5f 100644
--- a/js/median/model/MedianModel.ts
+++ b/js/median/model/MedianModel.ts
@@ -20,7 +20,7 @@ export default class MedianModel extends CAVModel {
   public readonly isSortingDataProperty: BooleanProperty;
 
   public constructor( options: { tandem: Tandem } ) {
-    const scene = new CAVSceneModel( { tandem: options.tandem.createTandem( 'sceneModel' ) } );
+    const scene = new CAVSceneModel( CAVSceneModel.chooseDistribution(), { tandem: options.tandem.createTandem( 'sceneModel' ) } );
     super( [ scene ], {
       ...options,
       instrumentMeanPredictionProperty: false
diff --git a/js/variability/model/VariabilityModel.ts b/js/variability/model/VariabilityModel.ts
index 135eebf3..78939718 100644
--- a/js/variability/model/VariabilityModel.ts
+++ b/js/variability/model/VariabilityModel.ts
@@ -35,21 +35,6 @@ export default class VariabilityModel extends CAVModel {
 
   public constructor( options: VariabilityModelOptions ) {
 
-    const sceneModels = [
-
-      // TODO: Each of these should have its own distribution
-      new VariabilitySceneModel( { tandem: options.tandem.createTandem( 'sceneModel1' ) } ),
-      new VariabilitySceneModel( { tandem: options.tandem.createTandem( 'sceneModel2' ) } ),
-      new VariabilitySceneModel( { tandem: options.tandem.createTandem( 'sceneModel3' ) } ),
-      new VariabilitySceneModel( { tandem: options.tandem.createTandem( 'sceneModel4' ) } )
-    ];
-    super( sceneModels, options );
-
-    this.initialized = true;
-
-    this.variabilitySceneModels = sceneModels;
-
-    // TODO: When the selected scene model changes, make the old one invisible and make the new one visible, see https://github.com/phetsims/center-and-variability/issues/164
 
     // this.selectedDistributionProperty.link( distribution => {
     //
@@ -62,6 +47,20 @@ export default class VariabilityModel extends CAVModel {
     //     distribution === DistributionType.KICKER_3 ? [ 6, 9, 11, 14, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5 ] :
     //       /*KICKER_4*/ [ 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 11, 14, 11, 9, 6 ];
     // } );
+    const sceneModels = [
+
+      // TODO: Each of these should have its own distribution
+      new VariabilitySceneModel( [ 0, 0, 0, 1, 3, 10, 18, 20, 18, 10, 3, 1, 0, 0, 0 ], { tandem: options.tandem.createTandem( 'sceneModel1' ) } ),
+      new VariabilitySceneModel( [ 5, 5, 10, 10, 25, 30, 40, 50, 40, 30, 25, 10, 10, 5, 5 ], { tandem: options.tandem.createTandem( 'sceneModel2' ) } ),
+      new VariabilitySceneModel( [ 6, 9, 11, 14, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5 ], { tandem: options.tandem.createTandem( 'sceneModel3' ) } ),
+      new VariabilitySceneModel( [ 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 11, 14, 11, 9, 6 ], { tandem: options.tandem.createTandem( 'sceneModel4' ) } )
+    ];
+    super( sceneModels, options );
+
+    this.initialized = true;
+
+    this.variabilitySceneModels = sceneModels;
+
 
     this.selectedVariabilityProperty = new EnumerationProperty( VariabilityMeasure.RANGE, {
       tandem: options.tandem.createTandem( 'selectedVariabilityProperty' )
diff --git a/js/variability/model/VariabilitySceneModel.ts b/js/variability/model/VariabilitySceneModel.ts
index f27aa2a5..400c7a94 100644
--- a/js/variability/model/VariabilitySceneModel.ts
+++ b/js/variability/model/VariabilitySceneModel.ts
@@ -22,8 +22,8 @@ export default class VariabilitySceneModel extends CAVSceneModel {
 
   private readonly initialized: boolean = false;
 
-  public constructor( options: { tandem: Tandem } ) {
-    super( options );
+  public constructor( distribution: ReadonlyArray<number>, options: { tandem: Tandem } ) {
+    super( distribution, options );
 
     this.maxValueProperty = new DerivedProperty( [ this.dataRangeProperty ], dataRange => {
       return dataRange === null ? null : dataRange.max;