Mess4me,
 Да! он добавляет данные масива как надо, но в прогресс баре нет изменений 0% стоит 
var progressBarArray1 = ["0.75","0.36","0.21"];
   var progressBarArray2 = ["0.25","0.43","0.33"];
   var progressBarArray3 = ["0.40","0.75","0.54"];
   var progressBarArray4 = ["0.75","0.78","0.46"];
   var progressBarArrays = [progressBarArray1,progressBarArray2,progressBarArray3,progressBarArray4];
$(function(){
  var circles = $('.circle');
  var lis = $('#nav_slider a');
  lis.on('click', function (a) {
    var  inx = $(this).index();
    var i =0;
    [].forEach.call(circles, function (el) {
      $(el).attr('data-value',progressBarArrays[inx][i++])
    });
  });
  circles.circleProgress({
      startAngle: -Math.PI /2 * 8 ,
      size: 130,
      lineCap: 'round',
      value: circles.data("value"),
      thickness: 4,
      fill: {color: '#19bd9a' },
      emptyFill: 'rgba(4, 115, 120, 1)'
  }).on('circle-animation-progress', function(event, progress, stepValue) {
    $(this).find('strong').text((100 * stepValue).toFixed(0) + '%');
  });
});