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Legos , lunch time, and lollipops Two-way Frequency Tables. Image used with Permission from Easyvectors.com. Taking a first look at related data. Let’s start with a little magic. This is a Magic Square. The challenge is to insert the numbers 1 – 9 in the
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Legos,lunch time,and lollipopsTwo-way Frequency Tables Image used with Permission from Easyvectors.com Taking a first look at related data
Let’s start with a little magic This is a MagicSquare The challenge is to insert the numbers 1 – 9 in the squares, using each number only once. ***and*** Every column, row, and diagonal must add up to the same total: 15. Like magic! Try it on your own!!!
Understanding the magic How did you figure out where to put each of the numbers?
Try to complete thismagic square on your own: How did you decide where to put each number?
Connecting magic squares to “real-world” mathematics Many times in real life, we need to look at a set of numbers and analyze how they are related to one another, similar to how we solved magic squares. Using a table to organize the information is very helpful….
Rainy Day Fun The Summer Camp for Kids staff is planning an indoor activity for the campers to do on rainy days. They are considering a Lego activity and a finger painting activity. They send out a survey to all the kids who will be coming to the camp to find out their preferences.
The staff organized the results of the survey in this table: A table like this that displays data in rows and columns is called a two-way frequency table.
What this two-way frequency table tells us How many boys preferred Legos? How many girls preferred Legos? How many campers preferred painting? How many girls responded to the survey? How many campers responded to the survey?
Vocabulary used with two-way frequency tables The data on the edges of the table are called the marginal frequencies. The data in the middle of the table are called the joint frequencies.
Making a two-way frequency table The Math Club is going to sell candy as a fund raiser. They surveyed 80 students about their favorite candy. The results are shown in the two-way frequency table. Fill in the missing information: