QUESTION IMAGE
Question
1.
method\walk\city bus\total\arrival\tardy (22)\on time\total\city bus\total (60)\total\tardy\on time (58)\total (130)
2.
age\under 21\over 21\total\
esponse\yes\
o\total\under 21\
o (24)\total (25)\over 21\yes (29)\
o\total\total\yes (30)\
o\total (75)
Problem 1 (Two - way table for arrival method and arrival time)
Step 1: Find the total number of students who walk
The total number of students is 130, and the total number of students who take the city bus is 60. So the total number of students who walk is \(130 - 60=70\).
Step 2: Find the number of students who walk on time
We know that the number of students who walk and are tardy is 22, and the total number of students who walk is 70. So the number of students who walk on time is \(70 - 22 = 48\).
Step 3: Find the total number of tardy students
The total number of students who arrive on time is 58, and the total number of students is 130. So the total number of tardy students is \(130 - 58=72\).
Step 4: Find the number of students who take the city bus and are tardy
The total number of tardy students is 72, and the number of students who walk and are tardy is 22. So the number of students who take the city bus and are tardy is \(72 - 22 = 50\).
Step 5: Find the number of students who take the city bus and are on time
The total number of students who take the city bus is 60, and the number of students who take the city bus and are tardy is 50. So the number of students who take the city bus and are on time is \(60 - 50 = 10\).
Filling in the table:
| Method \ Arrival | Tardy | On Time | Total |
|---|---|---|---|
| City Bus | 50 | 10 | 60 |
| Total | 72 | 58 | 130 |
Problem 2 (Two - way table for age and response)
Step 1: Find the number of students under 21 who responded "Yes"
The total number of students under 21 is 25, and the number of students under 21 who responded "No" is 24. So the number of students under 21 who responded "Yes" is \(25 - 24=1\).
Step 2: Find the total number of students over 21
The total number of students is 75, and the total number of students under 21 is 25. So the total number of students over 21 is \(75 - 25 = 50\).
Step 3: Find the number of students over 21 who responded "No"
The total number of students over 21 is 50, and the number of students over 21 who responded "Yes" is 29. So the number of students over 21 who responded "No" is \(50 - 29=21\).
Step 4: Find the total number of students who responded "No"
The number of students under 21 who responded "No" is 24, and the number of students over 21 who responded "No" is 21. So the total number of students who responded "No" is \(24 + 21=45\).
Filling in the table:
| Age \ Response | Yes | No | Total |
|---|---|---|---|
| Over 21 | 29 | 21 | 50 |
| Total | 30 | 45 | 75 |
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s:
Problem 1 Table:
| Method \ Arrival | Tardy | On Time | Total |
|---|---|---|---|
| City Bus | 50 | 10 | 60 |
| Total | 72 | 58 | 130 |
Problem 2 Table:
| Age \ Response | Yes | No | Total |
|---|---|---|---|
| Over 21 | 29 | 21 | 50 |
| Total | 30 | 45 | 75 |