Question

grade students at a school answered yes or no to the two survey questions shown.
are you passing all your classes? \t\t\t\tyes \tno
have you attended after school tutoring this semester? \tyes \tno
same students responded to both questions. complete the two - way frequency table to show the
ect totals for the given data. you must complete all five cells of the table for a full credit response
\t\tattended tutoring\tno tutoring\ttotal
passing all classes\t130\t\t245
not passing\t80\t200\t
total\t\t\t

Explanation:

Step1: Find "Passing all classes - No Tutoring"

We know that the total for "Passing all classes" is 245, and "Passing all classes - Attended Tutoring" is 130. So we subtract: \( 245 - 130 = 115 \).

Step2: Find "Not Passing - Total"

We add "Not Passing - Attended Tutoring" (80) and "Not Passing - No Tutoring" (200): \( 80 + 200 = 280 \).

Step3: Find "Attended Tutoring - Total"

We add "Passing all classes - Attended Tutoring" (130) and "Not Passing - Attended Tutoring" (80): \( 130 + 80 = 210 \).

Step4: Find "No Tutoring - Total"

We add "Passing all classes - No Tutoring" (115) and "Not Passing - No Tutoring" (200): \( 115 + 200 = 315 \).

Step5: Find "Grand Total"

We add the "Total" of "Attended Tutoring" (210) and "No Tutoring" (315): \( 210 + 315 = 525 \). Or we can add "Passing all classes - Total" (245) and "Not Passing - Total" (280): \( 245 + 280 = 525 \).

Now we fill the table:

	Attended Tutoring	No Tutoring	Total
Not Passing	80	200	280
Total	210	315	525

Answer:

The completed two - way frequency table is:

	Attended Tutoring	No Tutoring	Total
Not Passing	80	200	280
Total	210	315	525