Data Session 4: Homework

Session 4:
Homework

Problem H1

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

Problem H3

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.

Problem H4
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.

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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.

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Next > Session 5: Variation About the Mean

Session 4: Index | Notes | Solutions | Video