Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
1. Scatter Plots
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Exercise 1 Page 238

A scatter plot is a graph that shows the relationship between two data sets. Graph both sets of data as ordered pairs on a coordinate plane.

Graph:

scattered plot

Outliers: (120,70)
Gap: From 45 minutes to 75 minutes
Cluster: From 75 minutes to 90 minutes

Practice makes perfect

A scatter plot is a graph that shows the relationship between two data sets. Let's consider the given table.

Study Time (min), x 30 20 80 90 45 10 30 75 120 80
Test Score, y 80 74 95 97 85 62 83 90 70 91
Now, we will graph both sets of data as ordered pairs on a coordinate plane.
scattered plot

Next, let's recall some important definitions.

Outlier Cluster Gap
An outlier is a data point that is set off from the other data points. A cluster is a group of points that lie close together. A gap is an area on the graph that contains no data.

With these definitions in mind, we can finally make some conclusions about the outliers, clusters, and gaps in our graph.

  • There appears to be an outlier at (120,70).
  • There is a cluster of data from 75 minutes to 90 minutes.
  • There is a gap in the data from 45 minutes to 75 minutes.