Answer:
600, 108, 192,6
Step-by-step explanation:
The given two-way relative frequency table shows the joint relative frequencies of the number of students in each grade and their favorite courses. In the total column and row, the marginal relative frequencies are given for the total number of students in each grade and their favorite courses. These frequencies are found by dividing the number of entries in that category by the total number of students who participated in the survey.
It is given that 330 9th grade students participated in the survey. Since the total number of 9th grade students is 55% of the total number of students, 330 is 0.55 times the total number of students. Set up an equation to represent this relationship and solve for the total number of students, x.
Hence, the total number of students who participated in the survey is 600.
From the table, observe that the joint relative frequency of 9th grade students whose favorite elective is music is 0.18. So, the number of 9th grade students whose favorite elective is music is 0.18 times 600, the total number of students.
So, the number of 9th grade students whose favorite elective is music is 108.
From the table, observe that the marginal relative frequency of students whose favorite athletics is 0.32. So, the number of students whose favorite elective is athletics is 0.32 times 600, the total number of students.
Thus, the number of students whose favorite elective is athletics is 192.
From the table, observe that the joint relative frequency of students who whose favorite elective is Home Economics and are also in 10th grade is 0.06. Therefore, the percentage of students whose favorite elective is Home Economics and are also in 10th grade is 6%.
