Question

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

Sum the values in the "Sports" row: $63 + 52+35 + 41=191$.

Step2: Calculate total students who do not play sports

Sum the values in the "No Sports" row: $51+45 + 21+36 = 153$.

Step3: Check each option

• Option 1: 191 students play sports and 150 students do not (False, 153 students do not play sports).
• Option 2: 153 students do not participate in sports (True), but number of 12 - th graders surveyed is $41 + 36=77

eq75$ (False).

• Option 3: 153 students do not participate in sports and 190 do (False, 191 students play sports).
• Option 4: 191 students play sports (True), number of 10 - th graders surveyed is $52 + 45=97$ (True).

Answer:

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