Question

1. a sample of 100 students from liberty high school and a sample of 60 students from central high school were asked what they planned to do after graduation. responses fell into five categories: four - year university (4y), community college (cc), join the workforce (w), join the military (m), or undecided (ud). the results are shown in the following bar chart. which of the following statements is supported by the bar chart? a. for the category four - year university, the number of students from central high school was 10 greater than the number of students from liberty high school. b. for the category undecided, the number of students from liberty high school was 4 greater than the number of students from central high school. c. at liberty high school, more students selected a four - year university than any other activity. d. for the category join the workforce, the number of students from each school was equal. e. at central high school, the same number of students selected four - year university and military.

Explanation:

Step1: Calculate number of students for four - year university in each school

For Liberty High School, number of students = $100\times0.20 = 20$. For Central High School, number of students = $60\times0.30=18$. So A is incorrect.

Step2: Calculate number of students for undecided in each school

For Liberty High School, number of students = $100\times0.10 = 10$. For Central High School, number of students = $60\times0.10 = 6$. $10 - 6=4$, so B is correct.

Step3: Analyze option C

In Liberty High School, the relative - frequency for community college is higher than for four - year university, so C is incorrect.

Step4: Analyze option D

For the workforce category, relative - frequencies are different for the two schools, so number of students is not equal, D is incorrect.

Step5: Analyze option E

For Central High School, relative - frequency for four - year university is $0.30$ and for military is not $0.30$, so number of students is not the same, E is incorrect.

Answer:

B. For the category undecided, the number of students from Liberty High School was 4 greater than the number of students from Central High School.