Two-way frequency tables

The  exercise appears under the 8th Grade Math Mission. This exercise practices taking raw data and placing it into a two-way contingency table.

Types of Problems
There are two types of problems in this exercise:


 * 1) Place the bulleted information in the chart: This problem has a list of information about some objects. The student is asked to take then information and put it into a two-way table.Tft1.png
 * 2) Interpret the Venn diagram into the chart: This problem has some information about some objects in a Venn diagram. The student is asked to take then information and put it into a two-way table.Tft2.png

Strategies
An ability to read a Venn diagram is needed for some of the problems but other than this it is reading information and placing it correctly.
 * 1) For efficiency reasons, it is best to go in order from top left corner to bottom right corner which can take some work.
 * 2) The row and column totals can be used to get the missing information in the first problem type.
 * 3) The four numbers from the Venn diagram will be the four numbers in the table. Overlap first, then left circle, right circle, and the outside. The order could change in the future though if more problems are created.

Real-life Applications

 * 1) Data in two-way tables show up in the news and print so an ability to read and interpret these can be used.