Pre-Algebra
Data and graphs
Scatter plots and bivariate data
20 practice questions
0 video lessons
Theory + worked examples
Scatter Plots and Bivariate Data
California Pre-Algebra • Standard 8.SP.1 • Data & Graphs
Scatter Plots and Bivariate Data is a topic in Data & Graphs in the California Common Core State Standards. It is aligned to Standard 8.SP.1, which requires students to construct and interpret scatter plots of bivariate data.
A scatter plot graphs bivariate data to reveal association, clusters, and outliers.
Theory
Bivariate data measures two variables per subject; a scatter plot graphs them as points.
Look for association (positive, negative, none), clusters, and outliers.
A scatter plot.
Bivariate data.
What to look for:
\[\text{association, clusters, outliers}\]
Association can be positive, negative, or none.
How to read a scatter plot
- Plot each \((x,y)\) pair.
- Look for an overall direction.
- Note clusters and gaps.
- Identify outliers.
Example 1 — Association
Points rise to the right. What association?
Solution
Positive.
Example 2 — Negative
Points fall to the right. What association?
Solution
Negative.
Example 3 — Outlier
What is a point far from the pattern called?
Solution
An outlier.
Example 4 — Bivariate
What does bivariate mean?
Solution
Two variables measured together.
Common pitfalls
Association is not causation.
Outliers can distort the pattern.
Plot \((x,y)\) right then up.
Frequently asked questions
What is bivariate data?
Data with two variables per point.
What is a scatter plot?
A graph of bivariate data as points.
What is an outlier?
A point far from the pattern.
What kinds of association are there?
Positive, negative, or none.
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Comparing data distributions
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Line of best fit and linear association
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