Table of Contents
What is an Outlier?
An outlier is a data point that is significantly different from the other data points in a data set. Outliers can be caused by errors in data collection or by natural variation in the data. They can also be caused by intentional manipulation of the data.
What is an Outlier in a Line Plot?
An outlier is an observation in a data set that is distant from most of the other observations. Outliers can be caused by errors in data collection or by natural variation in the population. They can also be caused by experimental errors, such as when an animal is given a much larger dose of a drug than intended.
Outliers can affect the shape of a line plot, as well as the results of statistical tests. In general, they should be removed from the data set before any calculations are done. If they are not removed, they can distort the results of the calculations.
Outlier Examples
There are a few ways to define an outlier, but typically an outlier is an observation that is distant from the rest of the data. There are a few ways to identify outliers, including using distance measures or thresholds.
One way to identify outliers is to use distance measures. In general, an observation is considered an outlier if it is more than a certain number of standard deviations away from the mean. For example, if the mean is 5 and an observation is 10 standard deviations away from the mean, then it would be considered an outlier.
Another way to identify outliers is to use thresholds. In this approach, an observation is considered an outlier if it is more than a certain number of standard deviations away from the median. For example, if the median is 5 and an observation is 10 standard deviations away from the median, then it would be considered an outlier.
Displaying Outliers in Box and Whisker Plots
Outliers can be identified in box and whisker plots by looking for points that are far from the rest of the data. These points are usually identified by their position on the plot and by the size of their whiskers.