Question

A survey asked 40 students if they plan an instrument and if they are in band.

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

which table shows these data correctly entered in a two-way frequency table? apex

Answer 1

C would be your answer it’s the only one with a total of 25 for the number of students that play an instrument

Answer 2

Option: C is the correct answer.

The two-way frequency table is given as:

Band Not in Band Total

Play instrument 20 5 25

Do not play instrument 0 15 15

Total 20 20 40

Explanation:

We are given a survey of 40 students regarding whether they play an instrument or not.

We are given an information as:

1. 25 students play an instrument.

2. 20 students are in band.

3. 20 students are not in band

Hence, the table can be formed as:

Band Not in Band Total

Play instrument 20 5 25

Do not play instrument 0 15 15

Total 20 20 40

( Since, those who don't play any instruments can't even play band hence the value of that in table is 0)