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.

A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries 24, d, g. Column 3 is labeled do not play a sport with entries b, 22, h. Column 4 is labeled total with entries 48, f, 80.
Determine what each letter in the table should be to complete this two-way table.
b =
d =
f =
g =

Answer 1

Its, 4 + 6 + 10 + 1 = 21

Answer 2

b = 24

d = 10

f = 32

g = 34

h = 46

Step-by-step explanation:

From the given table we find that students who are in band = 48

So 24 + b = 48

b = 48 - 24

b = 24

Total students who do not play sports = h

And h = students in band + students not in band

h = b + 22

h = 24 + 22 = 46

h = 46

Total students who play sports and who do not play sports = 80

g + h = 80

g + 46 = 80

g = 80 - 46 = 34

g = 34

Total students who are not in band and not in band = 80

48 + f = 80

f = 80 - 48

f = 32

Students who are not in Band but either play sports or do not play sports = f

d + 22 = f

d + 22 = 32

d = 32 - 22 = 10

d = 10