Question
Two-Way Tables Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the table to answer the question.
There are missing statistics in the chart that shows how many seventh and eighth graders can and cannot swim.
Can Swim Cannot Swim Totals
7th Graders 15 60
8th Graders 45
Totals 65 40 105
The table shows data for seventh and eighth graders who can and cannot swim. How would you construct the missing parts of the two-way table?
(2 points)
There are missing statistics in the chart that shows how many seventh and eighth graders can and cannot swim.
Can Swim Cannot Swim Totals
7th Graders
15 60
8th Graders
45
Totals 65 40 105
Sorry, that’s only partially correct
Use the total number of students who can swim and subtract the number of 7th grade students who can swim to get the total number of 8th grade students who can swim.
Recheck the total number of 8th graders and subtract the number of 8th graders who can swim to find the number of 8th graders who cannot swim.
Answers
GPT-4o mini
To fill in the missing parts of the two-way table based on the existing information provided, let's break down the calculations step by step.
We know from the totals given that:
1. **Total Students Who Can Swim:** 65
2. **Total Students Who Cannot Swim:** 40
3. **Total Students:** 105
Now, let's fill in the missing values.
### Step 1: Fill in the 7th Graders Who Can Swim
- We have the total number of students who can swim: **65**.
- We also have the number of 7th graders who **cannot swim**: **60**.
Now, we can find the number of 7th graders who can swim using the total number of 7th graders:
- Total 7th Graders = Students who can swim + Students who cannot swim = (Can Swim) + 60 = (Total for 7th Graders)
- The total number of 7th graders = 15 (Can Swim) + 60 (Cannot Swim) = **75** (not given initially)
Then, since all 7th graders are part of the total 105 students:
- Total students (105) - Total 7th Graders (75) = Total 8th Graders = 30.
Now we can denote the **7th Graders Can Swim** as:
- \( 65 - 15 = 50 \) (correct as the total 8th graders cannot swim)
### Step 2: Fill in the 8th Graders Who Can Swim
- To find the number of 8th graders who can swim, we take the total students who can swim:
- \( 65 \text{ (Total Can Swim)} - 15 \text{ (7th Graders Can Swim)} = 50 \text{ (8th Graders Can Swim)} \)
### Step 3: Fill in the 8th Graders Who Cannot Swim
- We have 45 total for the 8th Graders who cannot swim as from the table already provided.
### Final Table
Now, we can summarize our findings and fill in the original table:
| | Can Swim | Cannot Swim | Totals |
|-----------------|----------|--------------|--------|
| 7th Graders | 15 | 60 | 75 |
| 8th Graders | 50 | 45 | 95 |
| Totals | 65 | 40 | 105 |
With this table, you have successfully filled in the missing parts accurately, identifying the number of students who can swim for both the 7th and 8th graders.
We know from the totals given that:
1. **Total Students Who Can Swim:** 65
2. **Total Students Who Cannot Swim:** 40
3. **Total Students:** 105
Now, let's fill in the missing values.
### Step 1: Fill in the 7th Graders Who Can Swim
- We have the total number of students who can swim: **65**.
- We also have the number of 7th graders who **cannot swim**: **60**.
Now, we can find the number of 7th graders who can swim using the total number of 7th graders:
- Total 7th Graders = Students who can swim + Students who cannot swim = (Can Swim) + 60 = (Total for 7th Graders)
- The total number of 7th graders = 15 (Can Swim) + 60 (Cannot Swim) = **75** (not given initially)
Then, since all 7th graders are part of the total 105 students:
- Total students (105) - Total 7th Graders (75) = Total 8th Graders = 30.
Now we can denote the **7th Graders Can Swim** as:
- \( 65 - 15 = 50 \) (correct as the total 8th graders cannot swim)
### Step 2: Fill in the 8th Graders Who Can Swim
- To find the number of 8th graders who can swim, we take the total students who can swim:
- \( 65 \text{ (Total Can Swim)} - 15 \text{ (7th Graders Can Swim)} = 50 \text{ (8th Graders Can Swim)} \)
### Step 3: Fill in the 8th Graders Who Cannot Swim
- We have 45 total for the 8th Graders who cannot swim as from the table already provided.
### Final Table
Now, we can summarize our findings and fill in the original table:
| | Can Swim | Cannot Swim | Totals |
|-----------------|----------|--------------|--------|
| 7th Graders | 15 | 60 | 75 |
| 8th Graders | 50 | 45 | 95 |
| Totals | 65 | 40 | 105 |
With this table, you have successfully filled in the missing parts accurately, identifying the number of students who can swim for both the 7th and 8th graders.