diff --git a/js/common/model/CAVSceneModel.ts b/js/common/model/CAVSceneModel.ts
index 118b5e48..980c2759 100644
--- a/js/common/model/CAVSceneModel.ts
+++ b/js/common/model/CAVSceneModel.ts
@@ -40,7 +40,7 @@ import CAVQueryParameters from '../CAVQueryParameters.js';
 // constants
 const TIME_BETWEEN_RAPID_KICKS = 0.5; // in seconds
 
-export default class CAVSceneModel extends PhetioObject implements TModel {
+export default abstract class CAVSceneModel extends PhetioObject implements TModel {
   public readonly soccerBalls: SoccerBall[];
 
   // The number of active soccer balls (includes soccer balls created but not yet kicked)
@@ -96,7 +96,12 @@ export default class CAVSceneModel extends PhetioObject implements TModel {
     parameters: [ { isValidValue: element => Array.isArray( element ) } ]
   } );
 
-  public constructor( public readonly maxKicksProperty: TReadOnlyProperty<number>, maxKicksChoices: number[], initialDistribution: ReadonlyArray<number>, options: { tandem: Tandem } ) {
+  public constructor(
+    public readonly maxKicksProperty: TReadOnlyProperty<number>,
+    maxKicksChoices: number[],
+    initialDistribution: ReadonlyArray<number>,
+    options: { tandem: Tandem }
+  ) {
 
     super( {
       phetioState: false,
@@ -371,8 +376,7 @@ export default class CAVSceneModel extends PhetioObject implements TModel {
    */
   public reset(): void {
 
-    // TODO: This should only be in MedianSceneModel and MeanAndMedianSceneModel, see https://github.com/phetsims/center-and-variability/issues/153
-    this.distributionProperty.value = CAVSceneModel.chooseDistribution();
+    this.resetScene();
 
     this.clearData();
 
@@ -563,6 +567,8 @@ export default class CAVSceneModel extends PhetioObject implements TModel {
     }
     return nextBallFromPool;
   }
+
+  public abstract resetScene(): void;
 }
 
 centerAndVariability.register( 'CAVSceneModel', CAVSceneModel );
\ No newline at end of file
diff --git a/js/common/model/MeanAndOrMedianSceneModel.ts b/js/common/model/MeanAndOrMedianSceneModel.ts
new file mode 100644
index 00000000..a09c6cac
--- /dev/null
+++ b/js/common/model/MeanAndOrMedianSceneModel.ts
@@ -0,0 +1,19 @@
+// Copyright 2023, University of Colorado Boulder
+
+/**
+ *
+ * @author Chris Klusendorf (PhET Interactive Simulations)
+ * @author Sam Reid (PhET Interactive Simulations)
+ */
+
+import centerAndVariability from '../../centerAndVariability.js';
+import CAVSceneModel from './CAVSceneModel.js';
+
+export default class MeanAndOrMedianSceneModel extends CAVSceneModel {
+
+  public resetScene(): void {
+    this.distributionProperty.value = CAVSceneModel.chooseDistribution();
+  }
+}
+
+centerAndVariability.register( 'MeanAndOrMedianSceneModel', MeanAndOrMedianSceneModel );
\ No newline at end of file
diff --git a/js/mean-and-median/model/MeanAndMedianModel.ts b/js/mean-and-median/model/MeanAndMedianModel.ts
index 002ad998..b1c3f091 100644
--- a/js/mean-and-median/model/MeanAndMedianModel.ts
+++ b/js/mean-and-median/model/MeanAndMedianModel.ts
@@ -14,6 +14,7 @@ import CAVModel from '../../common/model/CAVModel.js';
 import Tandem from '../../../../tandem/js/Tandem.js';
 import NumberProperty from '../../../../axon/js/NumberProperty.js';
 import CAVConstants from '../../common/CAVConstants.js';
+import MeanAndOrMedianSceneModel from '../../common/model/MeanAndOrMedianSceneModel.js';
 
 // constants
 const HIGHLIGHT_ANIMATION_TIME_STEP = 0.25; // in seconds
@@ -38,8 +39,8 @@ export default class MeanAndMedianModel extends CAVModel {
       tandem: options.tandem.createTandem( 'maxKicksProperty' )
     } );
 
-    const scene = new CAVSceneModel( maxKicksProperty, CAVConstants.MAX_KICKS_VALUES, CAVSceneModel.chooseDistribution(), { tandem: options.tandem.createTandem( 'sceneModel' ) } );
-    super( maxKicksProperty, [ scene ], {
+    const sceneModel = new MeanAndOrMedianSceneModel( maxKicksProperty, CAVConstants.MAX_KICKS_VALUES, CAVSceneModel.chooseDistribution(), { tandem: options.tandem.createTandem( 'sceneModel' ) } );
+    super( maxKicksProperty, [ sceneModel ], {
       ...options,
       instrumentMeanPredictionProperty: true
     } );
@@ -57,7 +58,7 @@ export default class MeanAndMedianModel extends CAVModel {
 
         if ( !phet.joist.sim.isSettingPhetioStateProperty.value ) {
           this.highlightAnimationIndex = 0;
-          this.lastHighlightAnimationStepTime = scene.timeProperty.value;
+          this.lastHighlightAnimationStepTime = sceneModel.timeProperty.value;
         }
         else {
 
@@ -79,7 +80,7 @@ export default class MeanAndMedianModel extends CAVModel {
       tandem: options.tandem.createTandem( 'isShowingMeanPredictionProperty' )
     } );
 
-    scene.objectValueBecameNonNullEmitter.addListener( () => this.updateAnimation() );
+    sceneModel.objectValueBecameNonNullEmitter.addListener( () => this.updateAnimation() );
   }
 
   public override reset(): void {
diff --git a/js/median/model/MedianModel.ts b/js/median/model/MedianModel.ts
index f4b4a976..764f0a6f 100644
--- a/js/median/model/MedianModel.ts
+++ b/js/median/model/MedianModel.ts
@@ -14,6 +14,7 @@ import CAVSceneModel from '../../common/model/CAVSceneModel.js';
 import CAVModel from '../../common/model/CAVModel.js';
 import Tandem from '../../../../tandem/js/Tandem.js';
 import NumberProperty from '../../../../axon/js/NumberProperty.js';
+import MeanAndOrMedianSceneModel from '../../common/model/MeanAndOrMedianSceneModel.js';
 
 export default class MedianModel extends CAVModel {
 
@@ -28,7 +29,7 @@ export default class MedianModel extends CAVModel {
       tandem: options.tandem.createTandem( 'maxKicksProperty' )
     } );
 
-    const scene = new CAVSceneModel( maxKicksProperty, [ 15 ], CAVSceneModel.chooseDistribution(), { tandem: options.tandem.createTandem( 'sceneModel' ) } );
+    const scene = new MeanAndOrMedianSceneModel( maxKicksProperty, [ 15 ], CAVSceneModel.chooseDistribution(), { tandem: options.tandem.createTandem( 'sceneModel' ) } );
     super( maxKicksProperty, [ scene ], {
       ...options,
       instrumentMeanPredictionProperty: false
diff --git a/js/variability/model/VariabilitySceneModel.ts b/js/variability/model/VariabilitySceneModel.ts
index 80bcda0f..63109ae3 100644
--- a/js/variability/model/VariabilitySceneModel.ts
+++ b/js/variability/model/VariabilitySceneModel.ts
@@ -26,6 +26,11 @@ export default class VariabilitySceneModel extends CAVSceneModel {
     this.initialized = true;
   }
 
+  public resetScene(): void {
+
+    // Nothing to do here, the distribution is set in the constructor (and not re-randomized like in the other screens)
+  }
+
   protected override updateDataMeasures(): void {
     super.updateDataMeasures();