Question

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. the survey was given to 120 male students and 180 female students. a 4-column table with 3 rows. the first column has no label with entries male, female, total. the second column is labeled math favorite subject with entries 0.35, 0.45, 0.41. the third column is labeled other favorite subject with entries 0.65, 0.55, 0.59. the fourth column is labeled total with entries 1.0, 1.0, 1.0. how many students in the survey said that math was their favorite subject? 42 81 120 123

Answer 1

The number of students in the survey said that math was their favorite subject is given by: Option D: 123

What is conditional relative frequency?

Conditional relative frequency is relative frequency conditional to some special characteristic.

For this case, we're specified the following table:

$\begin{array}{cccc}&\text{Math}&\text{Other favorite subject}&\rm Total\\\text{Male}&0.35&0.65&1.0\\\text{Female}&0.45&0.55&1.0\\\rm Total &0.41&0.59&1.0 \end{array}$

It is given that:

• the survey was given to 120 male students and
• the survey was given to 180 female students

We have to find how many students in the survey said that math was their favorite subject.

From males, 0.35 out of 1 male said math was their favorite subject. (since total in male is 1, showing that the row of males got conditional relative frequency conditional to the gender male, and relative to the total count of males).

Thus, as out of 1, there was 0.35 supporter of math (from males), so from 120 male students, there were $120\times 0.35 = 42$ male students who had chosen math as their favorite subject.

Similarly, 0.45 per 1 female student chose their favorite subject as math.

Since there are 180 female students, therefore, total $180\times 0.45 = 81$ female students had chosen math as their favorite subject.

So, total 42+81=123 students had chosen math as their favorite subject.

Thus, the number of students in the survey said that math was their favorite subject is given by: Option D: 123

Learn more about conditional relative frequency here:

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