Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
3. Two-Way Tables
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Exercise 7 Page 694

A two-way table is a frequency table that displays data collected from one source that belongs to two different categories.

The percentage of red-haired students with brown eyes

Practice makes perfect

We want to compare the percentage of the brown-haired students with blue eyes and the percentage of the red-haired students with brown eyes. To do so, we will first identify the number of the number of and the in the given two-way table. Let's do it!

Black Brown Red Blond Total
Brown
Blue
Hazel
Green
Total
We can see in the table that there are students in total. Out of students, there are brown-haired students with blue eyes and red-haired students with brown eyes. We will now compare the percentages using the relative frequencies. To do so, we can calculate the ratio of each joint frequency to the grand total.
We found that the frequency of brown-haired students with blue eyes is about or The frequency of red-haired students with brown eyes is which can be also written as Let's now compare the percentages!
  • Out of all students, about of them have brown hair and blue eyes.
  • Out of all students, of them have red hair and brown eyes.

We know that is greater than This means that the percentage of red-haired students with brown eyes is greater than the percentage of brown-haired students with blue eyes.