Question

video lesson 5.3 example 1 – making a two-way table

1. there are 16 juniors and 24 seniors on a debate team. of these, 7 juniors and 19 seniors qualify for a state debate competition. organize this information in a two-way table. then find and interpret the missing marginal frequencies.

______ students qualified.
______ students did not qualify.
______ students are on the debate team.
(chart: qualified, did not qualify, total; rows: junior (7, _, 16), senior (19, _, 24), total (_, _, _))

Explanation:

Step1: Find total qualified students

To find the total number of qualified students, we add the number of qualified juniors and qualified seniors. The number of qualified juniors is 7, and the number of qualified seniors is 19. So we calculate \(7 + 19\).
\(7+19 = 26\)

Step2: Find total students on debate team

To find the total number of students on the debate team, we add the total number of juniors and the total number of seniors. The total number of juniors is 16, and the total number of seniors is 24. So we calculate \(16+24\).
\(16 + 24=40\)

Step3: Find total non - qualified students

We know the total number of students on the debate team is 40 (from Step 2) and the total number of qualified students is 26 (from Step 1). To find the number of non - qualified students, we subtract the number of qualified students from the total number of students. So we calculate \(40 - 26\).
\(40-26 = 14\)

Answer:

• \(\boldsymbol{26}\) students qualified.
• \(\boldsymbol{14}\) students did not qualify.
• \(\boldsymbol{40}\) students are on the debate team.