Question

A survey of 80 students found that 24 students both play

in a 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. If being in band is the row variable and playing
sports is the column variable, fill in the labels in the table.
In Band
Not In Band
Total
Play
Sports
24
d
9
Do Not
Play
Sports
b
22
h
Total
48
f
80
Determine what each letter in the table should be to
complete this two-way table.
b=
d=
f=
9F
h =

Answer 1

Answer: b= 39 d=9 f=3 h=22

Step-by-step explanation: The total number of students who play sports is given as 33. Since 24 students both play in a band and play a sport, the remaining 9 students who play sports must be those who are not in the band (d = 9).

2. The total number of students who do not play sports is given as 22. Since 22 students are not in the band and do not play a sport, they should be assigned to the "Not In Band" and "Do Not Play Sports" category (h = 22).

3. The total number of students in the band is given as 48. To calculate the number of students who are in the band but do not play sports (b), we subtract the number of students who play sports (d = 9) from the total number of students in the band (48). Therefore, b = 48 - 9 = 39.

4. The total number of students in the entire table is given as 80. To determine the missing label (f), we subtract the sum of the known values (24 + 9 + 22 + 22) from the total number of students (80). Therefore, f = 80 - (24 + 9 + 22 + 22) = 3.