Question
Bivariate Data Analysis & Probability Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
9 of 169 of 16 Items
Question
Use the table to answer the question.
Calculating the overall participant count using the provided two-way table.
Apples Banana Oranges Totals
7th graders 44 120
8th graders 35 46
Totals 72 71
Constructing the two-way table, how many total people answered this survey about their fruit preference?
(1 point)
Responses
120
120 - incorrect
125
125 - no response given
263
263 - no response given
229
Complete this assessment to review what you've learned. It will not count toward your grade.
9 of 169 of 16 Items
Question
Use the table to answer the question.
Calculating the overall participant count using the provided two-way table.
Apples Banana Oranges Totals
7th graders 44 120
8th graders 35 46
Totals 72 71
Constructing the two-way table, how many total people answered this survey about their fruit preference?
(1 point)
Responses
120
120 - incorrect
125
125 - no response given
263
263 - no response given
229
Answers
GPT-4o mini
To find the total number of participants who answered the survey, we need to fill in the missing values in the two-way table and then sum all the values.
Here’s the provided two-way table:
```
Apples Banana Oranges Totals
7th graders 44 ? ? 120
8th graders ? 35 46 ?
Totals 72 ? 71 ?
```
From the totals and the known counts:
1. The total number of 7th graders is given as 120.
2. The total number of apples is 72.
3. The total number of oranges is 71.
### Step 1: Fill in the table
To find the missing values, we need to analyze the rows and columns based on the known totals.
For the 7th graders:
- Apples = 44
- Total = 120
- Therefore, Banana + Oranges = 120 - 44 = 76.
For the 8th graders:
- Total for 8th graders = ?
- Banana = 35
- Oranges = 46
- Therefore, Apples + 35 + 46 = ?
Calculating the total for 8th graders:
- Apples for 8th graders = Total for 8th graders - (35 + 46)
- Let’s denote the unknown Apples for 8th graders as "A".
### Step 2: Total participants
Now we can construct the totals:
- Total Apples = 44 (from 7th) + A (8th) = 72
- Therefore, A = 72 - 44 = 28.
The completed table now looks like this:
```
Apples Banana Oranges Totals
7th graders 44 ? ? 120
8th graders 28 35 46 ?
Totals 72 ? 71 ?
```
### Step 3: Filling in the blanks for the Totals
Calculating total Banana:
- Total Banana = ? from 7th + 35 from 8th = ?
- We can use the total known count from the table which we have yet to calculate.
### Step 4: Calculate total counts
So far, based on the above deductions:
- Total for 7th graders = 120
- Total for 8th graders = 28 + 35 + 46 = 109
Now, summing both grades:
**Total Participants = 120 (7th) + 109 (8th) = 229.**
### Final Answer
So the total number of people who answered the survey about their fruit preference is **229**.
Here’s the provided two-way table:
```
Apples Banana Oranges Totals
7th graders 44 ? ? 120
8th graders ? 35 46 ?
Totals 72 ? 71 ?
```
From the totals and the known counts:
1. The total number of 7th graders is given as 120.
2. The total number of apples is 72.
3. The total number of oranges is 71.
### Step 1: Fill in the table
To find the missing values, we need to analyze the rows and columns based on the known totals.
For the 7th graders:
- Apples = 44
- Total = 120
- Therefore, Banana + Oranges = 120 - 44 = 76.
For the 8th graders:
- Total for 8th graders = ?
- Banana = 35
- Oranges = 46
- Therefore, Apples + 35 + 46 = ?
Calculating the total for 8th graders:
- Apples for 8th graders = Total for 8th graders - (35 + 46)
- Let’s denote the unknown Apples for 8th graders as "A".
### Step 2: Total participants
Now we can construct the totals:
- Total Apples = 44 (from 7th) + A (8th) = 72
- Therefore, A = 72 - 44 = 28.
The completed table now looks like this:
```
Apples Banana Oranges Totals
7th graders 44 ? ? 120
8th graders 28 35 46 ?
Totals 72 ? 71 ?
```
### Step 3: Filling in the blanks for the Totals
Calculating total Banana:
- Total Banana = ? from 7th + 35 from 8th = ?
- We can use the total known count from the table which we have yet to calculate.
### Step 4: Calculate total counts
So far, based on the above deductions:
- Total for 7th graders = 120
- Total for 8th graders = 28 + 35 + 46 = 109
Now, summing both grades:
**Total Participants = 120 (7th) + 109 (8th) = 229.**
### Final Answer
So the total number of people who answered the survey about their fruit preference is **229**.