Question

A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. Choose a possible description for the rows and columns.

A) Column: In a Band, Play a Sport; Row: Not in a Band, Do Not Play a Sport
B) Column: Not in a Band, Play a Sport; Row: In a Band, Do Not Play a Sport
C) Column: In a Band, Do Not Play a Sport; Row: Not in a Band, Play a Sport
D) Column: In a Band, Not in a Band; Row: Play a Sport, Do Not Play a Sport

Answer 1

Answer: Option 'D' is correct.

Explanation:

Since we have given that

Number of students in the band = 48

Number of students both play in the band and play a sport = 24

Number of students who are not in band and do not play a sport = 22

Total number of students = 80

so, we will make a table:

In a band Not in a band

Play a sport 24 10

Don't play a sport 24 22

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Total 48 (80-48) = 32

So, Column: In a Band, Not in a Band; Row: Play a Sport, Do Not Play a Sport.

Hence, Option 'D' is correct.

Answer 2

D) Column: In a Band, Not in a Band; Row: Play a Sport, Do Not Play a Sport