Question

question 7 (maximum choose from 10 points)
the upperclassmen at a high school were planning for the school’s movie night. they surveyed 195 upperclassmen of which 75 were in 12th grade. the survey also found that 81 students in 11th grade preferred comedy and 60 students preferred horror. which of the following frequency tables summarizes the data?
(then there are four frequency tables with columns for comedy, horror, total and rows for 11th grade, 12th grade, total, with different numbers in each cell.)

Explanation:

Step1: Confirm total surveyed students

Total students = 195; 12th graders = 75, so 11th graders = $195 - 75 = 120$.

Step2: 11th grade horror preference

11th grade comedy = 81, so 11th grade horror = $120 - 81 = 39$.

Step3: 12th grade comedy preference

Total horror = 60; 11th grade horror = 39, so 12th grade horror = $60 - 39 = 21$. Then 12th grade comedy = $75 - 21 = 54$.

Step4: Total comedy preference

Total comedy = $81 + 54 = 135$.

Step5: Match to correct table

Verify totals: Comedy total = 135, Horror total = 60, Overall total = 195; 11th grade total = 120, 12th grade total = 75. This matches the fourth frequency table.

Answer:

The correct frequency table is the fourth one (from left):

	Comedy	Horror	Total
12th Grade	54	21	75
Total	135	60	195