Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Monthly Update sign up
Mailing List signup
Search
Follow The Annenberg Learner on LinkedIn Follow The Annenberg Learner on Facebook Follow Annenberg Learner on Twitter
MENU
Learning Math Home
Data Session 3, Part D: Ordering Hats
 
Session 3 Part A Part B Part C Part D Homework
 
Glossary
Data Site Map
Session 3 Materials:
Notes
Solutions
Video

Session 3, Part D:
Ordering Hats (35 minutes)

In This Part: Understanding the Question | Data Analysis Using a Stem and Leaf Plot
Using a Histogram to Analyze the Hat-Size Data | Summary

In Parts A-C of this session, you learned several ways to organize numerical data by forming groups. Grouping is especially useful for wide-ranging data or data measured on the number line. Note 5

In the following activity, you will apply several of the methods you have learned for grouping data to solve a problem about how many hats to order.

Hats are made in a variety of styles and sizes. A merchant must decide what styles to keep in stock and how many of each size to order. At our theoretical hat shop, a unisex "Standard Fit" hat is available in the following sizes:

Standard Size

Head Circ. (mm)

S1

520 to < 530

S2

530 to < 540

S3

540 to < 550

S4

550 to < 560

S5

560 to < 570

S6

570 to < 580

S7

580 to < 590

S8

590 to < 600

S9

600 to < 610

S10

610 to < 620

Are certain hat sizes more common than others? If not, then an equal number of each hat size can be ordered. But if certain sizes are more common, the merchant needs to order larger quantities of the more common sizes.

Problem D1

write Reflect  

Before you begin, make an initial guess about whether you expect all hat sizes to be equally common. Explain your answer. If you think some hat sizes will be more common than others, which hat size would you expect to be the most common, and why?



video thumbnail
 

Video Segment
In this video segment, the hat-ordering problem is introduced, and participants describe their initial expectations for a hat-size distribution. Watch this segment after completing Problem D1.
How could a hat merchant determine which hat sizes are most common?

If you're using a VCR, you can find this segment on the session video approximately 7 minutes and 46 seconds after the Annenberg Media logo.

 

 
 

Hat size is clearly determined by head size. Several possible measurements of the human head might be used to describe head size. Mail-order catalogs ask you to measure your head circumference and then determine your hat size from a table of circumferences they provide. To find your head circumference, measure the largest part of your head by placing the measuring tape just above your eyebrows.


 

Problem D2

Solution  

What size Standard Fit hat would you wear?


Next > Part D (Continued): Data Analysis Using a Stem and Leaf Plot

Learning Math Home | Data Home | Register | Glossary | Map | ©

Session 3: Index | Notes | Solutions | Video

© Annenberg Foundation 2014. All rights reserved. Legal Policy