A survey asked 60 students if they play an instrument and if they are in band.35 students play an instrument.30 students are in band.30 students are not in band.Which table shows these data correctly entered in a two-way frequency table?A.Band Don't play instrument TotalNot in band 30 5 35Play instrument 0 25 25Total 30 30 60B.Band Not in band TotalPlay instrument 30 0 30Don't play instrument 5 25 30Total 35 25 60C.Band and play instrument Not in band and play instrument TotalNot in band and don't play instrument 30 0 30Band and don't play instrument 5 25 30Total 35 25 60D.Band Not in band TotalPlay instrument 30 5 35Don't play instrument 0 25 25Total 30 30 60SUBMITarrow_backPREVIOUS
Question
A survey asked 60 students if they play an instrument and if they are in band.35 students play an instrument.30 students are in band.30 students are not in band.Which table shows these data correctly entered in a two-way frequency table?A.Band Don't play instrument TotalNot in band 30 5 35Play instrument 0 25 25Total 30 30 60B.Band Not in band TotalPlay instrument 30 0 30Don't play instrument 5 25 30Total 35 25 60C.Band and play instrument Not in band and play instrument TotalNot in band and don't play instrument 30 0 30Band and don't play instrument 5 25 30Total 35 25 60D.Band Not in band TotalPlay instrument 30 5 35Don't play instrument 0 25 25Total 30 30 60SUBMITarrow_backPREVIOUS
Solution
The correct answer is D.
Here's why:
The total number of students who play an instrument is 35. In option D, the number of students who play an instrument (both in band and not in band) adds up to 35 (30 in band and 5 not in band).
The total number of students who are in band is 30. In option D, the number of students who are in band (both those who play an instrument and those who don't) is 30.
The total number of students who are not in band is also 30. In option D, the number of students who are not in band (both those who play an instrument and those who don't) is also 30.
Therefore, option D correctly represents the data given in the problem.
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