add/remove active class for ul list with jquery?

html

<ul class="nav nav-list">
  <li class='nav-header'>Test</li>
  <li class="active"><a href="page1.php">Page 1</a></li>
  <li><a href="page2.php">Page 2</a></li>
  <li><a href="page3.php">Page 3</li>
</ul>

jquery:

 $('.nav-list').click(function() {

    //console.log("Clicked");
    $('.nav-list li.active').removeClass('active');
    $(this).addClass('active');
});