a survey asked 50 students if they play an instrument and if they are in band.\n1. 25 students play an…

a survey asked 50 students if they play an instrument and if they are in band.\n1. 25 students play an instrument.\n2. 20 students are in band.\n3. 30 students are not in band.\nwhich table shows these data correctly entered in a two - way frequency table?

a survey asked 50 students if they play an instrument and if they are in band.\n1. 25 students play an instrument.\n2. 20 students are in band.\n3. 30 students are not in band.\nwhich table shows these data correctly entered in a two - way frequency table?

Answer

Answer:

B.

Band Not in band Total
Play instrument 20 5 25
Don't play instrument 0 25 25
Total 20 30 50

Explanation:

Step1: Analyze given data

We know total students = 50, play instrument = 25, in - band = 20, not in band = 30.

Step2: Check row - totals

For the "Play instrument" row, sum of students in band and not in band who play should be 25. In option B, 20 + 5=25.

Step3: Check column - totals

For the "Band" column, sum of students who play and don't play in band should be 20 (matches). For "Not in band" column, 5 + 25 = 30 (matches). And total of all cells is 50 (matches).