Question

question 2 of 10
a survey asked 50 students if they play an instrument and if they are in band.

1. 25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.

which table shows these data correctly entered in a two - way frequency table?
a.
band not in band total
play instrument 20 5 25
dont play instrument 0 25 25
total 20 30 50
b.
band and play instrument not in band and play instrument total
not in band and dont play instrument 20 0 20

Explanation:

Step1: Check total students

Total students = 50. In table A, total is \(20 + 30=50\) (from band and not - in - band totals) and \(25+25 = 50\) (from play and don't play instrument totals).

Step2: Check band totals

Number of students in band is 20. In table A, band total is 20.

Step3: Check not - in - band totals

Number of students not in band is 30. In table A, not - in - band total is 30.

Step4: Check play instrument totals

Number of students who play instrument is 25. In table A, play instrument total is 25 (\(20 + 5\)).

Step5: Check don't play instrument totals

Number of students who don't play instrument: Total students - play instrument students \(=50 - 25=25\). In table A, don't play instrument total is \(0+25 = 25\).

Answer:

A. Option Text