Question

a survey was conducted with high school students in each grade to see how many participate in sports. the data are shown below.

	9	10	11	12	total
no sports	51	45	21	36
total					344

which statement is true about the marginal frequencies in this table?

• 191 students play sports and 150 students do not.
• 153 students do not participate in sports and seventy - five 12th graders were surveyed
• 153 students do not participate in sports and 190 do..
• 191 students play sports and ninety - seven 10th graders were surveyed.

Explanation:

Step1: Calculate total for Sports

Sum the number of students who play sports: \( 63 + 52 + 35 + 41 = 191 \)

Step2: Calculate total for No Sports

Sum the number of students who do not play sports: \( 51 + 45 + 21 + 36 = 153 \)

Step3: Check 10th grade total

10th grade students: \( 52 + 45 = 97 \)

Step4: Evaluate each option

• Option 1: Sports total is 191, No Sports total is 153 (not 150). Incorrect.
• Option 2: 12th graders surveyed: \( 41 + 36 = 77 \) (not 75). Incorrect.
• Option 3: Sports total is 191 (not 190). Incorrect.
• Option 4: Sports total 191, 10th grade total \( 52 + 45 = 97 \). Correct.

Answer:

191 students play sports and ninety - seven 10th graders were surveyed.