Question

A survey asked 60 students if they play an instrument and if they are in band.

1.35 students play an instrument.
2. 30 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?

Answer 1

Answer: Choice A

=======================================================

Step-by-step explanation:

The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.

We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.

This is enough to see that choice A is the final answer

Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.

Answer 2

A (I used process of elimination)

B is incorrect it says the total # of people not in a band is 35 but the description says only 30 aren’t in a band

C is incorrect because it says the total # of people that play an instrument is 30 but the description says 35 students play an instrument

D is incorrect because the way the graph is set up doesn’t make sense (ex. How can someone qualify for “not being in band but play an instrument” but also qualify for “in band and play instrument”