Edit in JSFiddle

var chart = new Highcharts.Chart({

    chart: {
        renderTo: 'container',
        animation: {
            duration: 1500,
            easing: 'easeOutBounce'
        }
    },

    xAxis: {
        categories: ['Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun', 'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec']
    },

    series: [{
        data: [29.9, 71.5, 106.4, 129.2, 144.0, 176.0, 135.6, 148.5, 216.4, 194.1, 95.6, 54.4]
    }]

});

i = 1;
$('#update').click(function() {
    chart.series[0].data[0].update(i++ % 2 ? 200 : 0);
});
<script type="text/javascript" src="http://highcharts.com/js/testing.js"></script>

<div id="container" style="height: 300px"></div>

<button id="update">Update chart</button>