## Why is 1.5 IQR rule?

Using the Interquartile Rule to Find Outliers

Multiply the interquartile range (IQR) by 1.5 (a constant used to discern outliers).

Add 1.5 x (IQR) to the third quartile.

Any number greater than this is a suspected outlier.

## What are outliers in statistics?

In statistics, an outlier is a data point that differs significantly from other observations. An outlier may be due to variability in the measurement or it may indicate experimental error; the latter are sometimes excluded from the data set. An outlier can cause serious problems in statistical analyses.

## How do you find outliers in a box plot?

**In order to be an outlier, the data value must be:**

- larger than Q3 by at least 1.5 times the interquartile range (IQR), or.
- smaller than Q1 by at least 1.5 times the IQR.

## How do you identify outliers in statistics?

The IQR defines the middle 50% of the data, or the body of the data. The IQR can be used to identify outliers by defining limits on the sample values that are a factor k of the IQR below the 25th percentile or above the 75th percentile. The common value for the factor k is the value 1.5.

## How do you interpret interquartile range?

**Interpreting results: Quartiles and the interquartile range**

- Percentiles are useful for giving the relative standing of an individual in a group.
- The median is the 50th percentile.
- Quartiles divide the data into four groups, each containing an equal number of values.
- The difference between the 75th and 25th percentile is called the interquartile range.

## What is an example of an outlier?

Outlier. more A value that “lies outside” (is much smaller or larger than) most of the other values in a set of data. For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are “outliers”.

## What defines an outlier?

An outlier is an observation that lies outside the overall pattern of a distribution (Moore and McCabe 1999). A convenient definition of an outlier is a point which falls more than 1.5 times the interquartile range above the third quartile or below the first quartile.

## Why do we need to remove outliers?

It’s important to investigate the nature of the outlier before deciding. If it is obvious that the outlier is due to incorrectly entered or measured data, you should drop the outlier: If the outlier does not change the results but does affect assumptions, you may drop the outlier.