# Outlier Boundary Calculator

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The interquartile range, often abbreviated IQR, is the difference between the 25th percentile (Q1) and the 75th percentile (Q3) in a dataset.

We often declare an observation to be an outlier in a dataset if it has a value 1.5 times greater than the IQR or 1.5 times less than the IQR.

This calculator uses this formula to automatically calculate the upper and lower outlier boundaries for a given dataset.

Simply enter the list of the comma-separated values for the dataset, then click the “Calculate” button:

Dataset values:

Q1: 5.0000

Q3: 20.7500

Interquartile Range: 15.7500

Lower Outlier Boundary: -18.6250

Upper Outlier Boundary: 44.3750

function calc() {

var x = document.getElementById(‘x’).value.split(‘,’).map(Number);
var Q1 = jStat.percentile(x, 0.25);
var Q3 = jStat.percentile(x, 0.75);
var IQR = Q3-Q1;
var lower = Q1 – 1.5*IQR;
var upper = Q3-(-1.5*IQR);
document.getElementById(‘Q1’).innerHTML = Q1.toFixed(4);
document.getElementById(‘Q3’).innerHTML = Q3.toFixed(4);
document.getElementById(‘IQR’).innerHTML = IQR.toFixed(4);
document.getElementById(‘lower’).innerHTML = lower.toFixed(4);
document.getElementById(‘upper’).innerHTML = upper.toFixed(4);

} //end calc function

x
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