Question

Question 21 of 25A group of 200 ninth-grade students responded to a survey that asked whichmath course they were enrolled in. According to the data collected:• 100 female students and 100 male students responded.• 57 females were enrolled in Algebra I.• 36 males were enrolled in Geometry.Which answer shows these data correctly entered in a two-way frequencytable?

Answer 1

100 female students responded and 57 females were enrolled in Algebra I. Since each female must choose between Algebra I or Geometry, the total amount of females minus the amount enrolled in Algebra I will tell us the amount enrolled in Geometry.

`100-57=43`

We have 43 females enrolled in Geometry.

100 male students responded and 36 males were enrolled in Geometry. By the same logic, the amount of men enrolled in Algebra I is

`100-36=64`

We have 36 males enrolled in Algebra I.

To create the table, each element must correspond to the line and column it belongs. If we want to fill the element on the row "female" and column "Algebra I",we're talking about the amount of females enrolled in Algebra I.

Thus, the correct table for our problem is option A.