score:3

As the doc of Highcharts says, "The point options. If options is a single number, a point with that y value is appended to the series.If it is an array, it will be interpreted as x and y values respectively." So just give an array as the parameter of `addPoint()`.

To remove a point, use removePoint.

Here is the example which add the point in the position "i", and remove the point in the position "i":

``````\$(function () {
\$('#container').highcharts({

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]
}]

});

// the button action
var i = 0;
\$('#button').click(function () {
var chart = \$('#container').highcharts();
chart.series[0].addPoint([i, 50 * (i % 3)]);
i += 1;
});

\$('#removebutton').click(function () {
var chart = \$('#container').highcharts();
chart.series[0].removePoint(i);
});
});``````
``````<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://code.highcharts.com/highcharts.js"></script>

<div id="container" style="height: 400px"></div>
<button id="removebutton" class="autocompare">remove point</button>``````

score:2

You need to specify both the x and y coordinates, otherwise it is going to assume that the x coordinate is the next data point on the x axis. Try this:

``````\$(function () {
\$('#container').highcharts({

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]
}]

});

// the button action
var i = 0;
\$('#button').click(function () {
var chart = \$('#container').highcharts();