Drawing multiple 3D box plots

instead of

ArrayList<PVector> dots = new ArrayList();

you could use your own class Box3D

ArrayList<Box3D> boxes = new ArrayList();

and add many boxes to the ArrayList

like this (short form):

class Box3D {

  PVector posBox; 

  int sizeBox = int (random(2, 55)); 

  color colorBox = color(random(256), random(256), random(256)); 

  // no constructor required

  void display() {
    pushMatrix();
    translate(posBox.x, posBox.y, posBox.z);
    fill(colorBox);
    box(sizeBox);
    popMatrix();
  }//method
}//class

full sketch without ArrayList :

Box3D box1;

void setup() {
  size(1100, 800, P3D);
  background(0);
  box1 = new Box3D();
}

void draw() {
  background(0);
  box1.display();
}

// =============================================

class Box3D {

  float dist = 800;

  PVector posBox = new PVector(
    random(0, dist), 
    random(0, dist), 
    random(-dist, 0)); 

  int sizeBox = int (random(22, 55)); 

  color colorBox = color(random(256), random(256), random(256)); 

  // no constructor required

  void display() {
    pushMatrix();
    //posBox.x=440;
    //posBox.y=440;
    //posBox.z=-330;
    translate(posBox.x, posBox.y, posBox.z);
    fill(colorBox);
    box(sizeBox);
    popMatrix();
  }//method
}//class