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Session 4 Part A Part B Part C Part D Part E Homework
 
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Session 4:
Homework

Problem H1

Solution  

Determine the Five-Number Summary for each of the remaining data sets of raisin counts from Session 2, and construct a box plot for each on the same scale as the ones you built in Problem D2. Then interpret the quantities in each Five-Number Summary. In other words, use your results to answer the question "How many raisins are in a half-ounce box of raisins?" for each brand.

Here are the raisin counts for boxes of Brand C and Brand D raisins:

Brand C

25 25 25 26 26 26 26 26 27 27 27
28 28 28 28 28 28 28 28 28 29 29
29 30 30 31 32 32

 

Brand D

23 24 25 25 25 27 27 27 27 27 27
27 27 28 28 29 29 29 29 29 29 30
31 32 32 33 33 33 34 34 35 35 35
36 36 38


 

Problem H2

Solution  

Based on the interpretations you made in Problems D2 and H1, which brand of raisins would you buy? Explain.


 

Problem H3

Solution  

Consider the following data on sex, height, and arm span for 24 people from Session 1, Problem B3:

Gender

Height

Arm Span

Male

185

173

Female

160

161

Male

173

177

Female

170

170

Female

188

188

Male

184

196

Female

162

156

Female

170

162

Male

176

177

Female

166

165

Male

193

194

Male

178

178

 

Gender

Height

Armspan

Male

180

184

Female

162

159

Male

187

188

Male

186

200

Male

182

188

Female

160

157

Male

181

188

Male

192

188

Female

167

170

Female

176

173

Female

155

160

Female

162

161

a. 

Determine the Five-Number Summary and box plot for the 24 heights.

b. 

Determine the Five-Number Summary and box plot for the 24 arm spans.

c. 

Determine the Five-Number Summaries and box plots for the 12 males' and 12 females' heights. How do the box plots help you compare these two sets?

d. 

Determine the Five-Number Summaries and box plots for the males' and females' arm spans.


Take it Further

Problem H4

Solution

Describe how you would create a Four-Number Summary that divides the data into three groups with approximately one-third of the data in each group. Include instructions for determining the positions of T1 and T2 (the locations of the dividing points of the first and second thirds of the data).


 

Suggested Readings:

Friel, Susan and O'Connor, William (March, 1999). Sticks to the Roof of Your Mouth? Mathematics Teaching in the Middle School, 4 (6), 404-411.
Reproduced with permission from Mathematics Teaching in the Middle School. Copyright ©1999 by the National Council of Teachers of Mathematics. All rights reserved.

Download PDF File:
Sticks to the Roof of Your Mouth?
Continued

Kader, Gary and Perry, Mike (Summer, 1996). To Boxplot or Not to Boxplot? Teaching Statistics, 18 (2), 39-41.
This article first appeared in Teaching Statistics <http://science.ntu.ac.uk/rsscse/ts/> and is used with permission.

Download PDF File


Next > Session 5: Variation About the Mean

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