In a two-way table, a conditional percent is a percent within a named group, signaled by wording such as “of the students who.” Use that group as the whole, not everyone in the table. Find its row or column total, then the cell that meets the other condition. Desmos turns that part-to-whole fraction into a percent.
Hints
- Hint 1
The phrase “of students enrolled in a language course” sets the whole for this percent. A conditional percent counts only that group. Which column contains every student who meets that condition?
- Hint 2
Both science-course rows contribute to the language-course total. Add the two counts in that column, then find the cell for students who take both courses.
- Hint 3
A percent compares a part with its whole out of . Put the both-courses count over the language-course total, then multiply by and round.
Step-by-step
Use the language-course column as the whole
Step 1Find the group the percent is taken of
The words “of students enrolled in a language course” limit the whole to the language-course column. It includes students taking science and not taking science. Type in Desmos; it shows language-course students. Restrict the group first, then count the part inside it. The students in the full table aren't the whole for this percent.
- Step 2
Write the part-to-whole percent
The part is the students in the cell where language and science overlap. Put that part over the language-course students, then multiply by to express it as a percent: .
- Step 3
Calculate and round the percent
Type on the next Desmos line. It shows , so to the nearest tenth, of language-course students also take science. Choice C.