Question

romain knows the following information about the 32 classes he took in high school: he studied for but did not pass 3 classes. he passed 27 classes in total. he studied for 26 classes in total. can you help romain organize the results into a two - way frequency table? studied for the class did not study for the class passed the class did not pass the class

Explanation:

Step1: Find number of passed - studied

We know he studied for 26 classes and 3 of those he studied for but did not pass. So the number of classes he studied for and passed is $26 - 3=23$.

Step2: Find number of passed - not studied

He passed 27 classes in total. Since 23 of the passed classes were ones he studied for, the number of passed classes he did not study for is $27 - 23 = 4$.

Step3: Find number of not - passed - not studied

He took 32 classes in total. He studied for 26 classes, so he did not study for $32 - 26=6$ classes. Since 4 of the non - studied classes were passed, the number of non - studied and non - passed classes is $6 - 4 = 2$.

Step4: Fill in the table

The two - way frequency table:

	Studied for the class	Did not study for the class
Did not pass the class	3	2

Answer:

	Studied for the class	Did not study for the class
Did not pass the class	3	2