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Learning Math Home
Data Session 7, Part A: Scatter Plots
 
Session 7 Part A Part B Part C Part D Homework
 
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Session 7 Materials:
Notes
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Session 7, Part A:
Scatter Plots

In This Part: A Bivariate Data Question | Building a Scatter Plot | A Further Question
Quadrants

With bivariate data, there are four possible categories of data pairs. Accordingly, each person in the table can be placed into one of four categories:

a. 

People with above-average arm spans and heights are in orange.

b. 

People with below-average arm spans and above-average heights are in blue.

c. 

People with below-average arm spans and heights are in purple.

d. 

People with above-average arm spans and below-average heights are in green.

Arm Span

Height

156

162

157

160

159

162

160

155

161

160

161

162

162

170

165

166

170

170

170

167

173

185

173

176

 

Arm Span

Height

177

173

177

176

178

178

184

180

188

188

188

187

188

182

188

181

188

192

194

193

196

184

200

186

We can represent these categories similarly on the scatter plot:

a. 

Points for people with above-average arm spans and heights are in orange.

b. 

Points for people with below-average arm spans and above-average heights are in blue.

c. 

Points for people with below-average arm spans and heights are in purple.

d. 

Points for people with above-average arm spans and below-average heights are in green.

Adding both the vertical line at the mean arm span (175.5 cm) and the horizontal line at the mean height (174.8) separates the points in the scatter plot into four groups, known as quadrants:

Problem A9

Solution  

Use this scatter plot to answer the following:

a. 

Describe the heights and arm spans of people in Quadrant I.

b. 

Describe the heights and arm spans of people in Quadrant II.

c. 

Describe the heights and arm spans of people in Quadrant III.

d. 

Describe the heights and arm spans of people in Quadrant IV.


 

Problem A10

Solution  

a. 

Based on the scatter plot, do most people with above-average arm spans also have above-average heights?

b. 

Based on the scatter plot, do most people with below-average arm spans also have below-average heights?


Next > Part B: Contingency Tables

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