Outliers in scatter plots

Learning Objectives Define what an outlier is in the context of a scatter plot. Visually identify outliers on a given scatter plot. Describe how an outlier can affect the perceived pattern or trend in a scatter plot. Explain potential reasons for the existence of an outlier. Differentiate between an outlier and a point that is simply part of the general variation. Construct a simple scatter plot from given data and identify any outliers. Have you ever seen something that just doesn't fit in with everything else? 🤔 In math, sometimes data points do that too! In this lesson, you'll learn about 'outliers' in scatter plots – those unique data points that stand out from the crowd. Understanding outliers helps us interpret data more accurately and discover i...

TermDefinitionExample Scatter PlotA graph that shows the relationship between two sets of data by plotting individual data points on a coordinate plane.A scatter plot showing how many hours students studied versus their test scores. Data PointA single piece of information plotted on a scatter plot, represented by a dot, showing the values for two variables.On a scatter plot of height vs. weight, one data point might be (60 inches, 100 pounds). Pattern/TrendThe general direction or relationship that most data points follow on a scatter plot (e.g., increasing, decreasing, no pattern).If most points go up and to the right, there's an increasing pattern. OutlierA data point on a scatter plot that lies far away from the other data points and the general pattern or trend.If most students w...

Rule for Visual Identification of an Outlier An outlier $P_{outlier}$ is a data point that is significantly distant from the main cluster of points and does not follow the general trend of the data. To identify an outlier, visually inspect the scatter plot. Look for points that are isolated or appear to be 'floating' far away from where the other points are grouped or trending. Rule for Describing Outlier Impact An outlier can 'pull' the perceived trend line towards itself, potentially distorting the relationship observed among the majority of data points. When an outlier is present, consider how its unique position might make the overall pattern seem different. For example, a high outlier can make an upward trend look stronger or a downward trend look we...