Question
Use the bar graphs to answer the question.
number of pets for each student in Mr. Bernhardt's class
0,0,1,1,1,2,2,2,2,3,3,3,4,4
number of pets for each student in Ms. Daniel's class
1,1,1,1,2,2,2,3,3,3,3
Compare the graphs showing the number of pets each student in Mr. Bernhardt's and Ms. Daniel's classes has. Choose whether the listed values are a similarity or difference.
(4 points)
Similarity Difference
The median value
The mean value
The mode value
The minimum value
The maximum value
The total number in the dataset
number of pets for each student in Mr. Bernhardt's class
0,0,1,1,1,2,2,2,2,3,3,3,4,4
number of pets for each student in Ms. Daniel's class
1,1,1,1,2,2,2,3,3,3,3
Compare the graphs showing the number of pets each student in Mr. Bernhardt's and Ms. Daniel's classes has. Choose whether the listed values are a similarity or difference.
(4 points)
Similarity Difference
The median value
The mean value
The mode value
The minimum value
The maximum value
The total number in the dataset
Answers
GPT-4o mini
Let's analyze the data for each class to determine the similarities and differences in the values requested.
### Mr. Bernhardt's Class:
Data: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4
1. **Median**: The median is the middle number when the data is ordered.
- Ordered data (14 items): 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4
- Median = (2 + 2) / 2 = 2
2. **Mean**: The mean is the average, calculated by summing all values and dividing by the number of values.
- Mean = (0 + 0 + 1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4) / 14
- Mean = 24 / 14 ≈ 1.71
3. **Mode**: The mode is the most frequent value.
- Mode = 2 (occurs 4 times)
4. **Minimum**: The minimum value in the dataset is 0.
5. **Maximum**: The maximum value in the dataset is 4.
6. **Total Number in the Dataset (N)**: There are 14 total values.
### Ms. Daniel's Class:
Data: 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3
1. **Median**: Ordered data (11 items): 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3
- Median = 2 (the middle value)
2. **Mean**:
- Mean = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3) / 11
- Mean = 21 / 11 ≈ 1.91
3. **Mode**: The mode is the most frequent value.
- Mode = 1 (occurs 4 times)
4. **Minimum**: The minimum value is 1.
5. **Maximum**: The maximum value is 3.
6. **Total Number in the Dataset (N)**: There are 11 total values.
### Summary of Similarities and Differences:
1. **The median value**:
- Difference (Mr. Bernhardt's: 2, Ms. Daniel's: 2)
2. **The mean value**:
- Difference (Mr. Bernhardt's: ≈ 1.71, Ms. Daniel's: ≈ 1.91)
3. **The mode value**:
- Difference (Mr. Bernhardt's: 2, Ms. Daniel's: 1)
4. **The minimum value**:
- Difference (Mr. Bernhardt's: 0, Ms. Daniel's: 1)
5. **The maximum value**:
- Difference (Mr. Bernhardt's: 4, Ms. Daniel's: 3)
6. **The total number in the dataset**:
- Difference (Mr. Bernhardt's: 14, Ms. Daniel's: 11)
### Final Answer:
- **The median value**: Difference
- **The mean value**: Difference
- **The mode value**: Difference
- **The minimum value**: Difference
- **The maximum value**: Difference
- **The total number in the dataset**: Difference
### Mr. Bernhardt's Class:
Data: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4
1. **Median**: The median is the middle number when the data is ordered.
- Ordered data (14 items): 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4
- Median = (2 + 2) / 2 = 2
2. **Mean**: The mean is the average, calculated by summing all values and dividing by the number of values.
- Mean = (0 + 0 + 1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4) / 14
- Mean = 24 / 14 ≈ 1.71
3. **Mode**: The mode is the most frequent value.
- Mode = 2 (occurs 4 times)
4. **Minimum**: The minimum value in the dataset is 0.
5. **Maximum**: The maximum value in the dataset is 4.
6. **Total Number in the Dataset (N)**: There are 14 total values.
### Ms. Daniel's Class:
Data: 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3
1. **Median**: Ordered data (11 items): 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3
- Median = 2 (the middle value)
2. **Mean**:
- Mean = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3) / 11
- Mean = 21 / 11 ≈ 1.91
3. **Mode**: The mode is the most frequent value.
- Mode = 1 (occurs 4 times)
4. **Minimum**: The minimum value is 1.
5. **Maximum**: The maximum value is 3.
6. **Total Number in the Dataset (N)**: There are 11 total values.
### Summary of Similarities and Differences:
1. **The median value**:
- Difference (Mr. Bernhardt's: 2, Ms. Daniel's: 2)
2. **The mean value**:
- Difference (Mr. Bernhardt's: ≈ 1.71, Ms. Daniel's: ≈ 1.91)
3. **The mode value**:
- Difference (Mr. Bernhardt's: 2, Ms. Daniel's: 1)
4. **The minimum value**:
- Difference (Mr. Bernhardt's: 0, Ms. Daniel's: 1)
5. **The maximum value**:
- Difference (Mr. Bernhardt's: 4, Ms. Daniel's: 3)
6. **The total number in the dataset**:
- Difference (Mr. Bernhardt's: 14, Ms. Daniel's: 11)
### Final Answer:
- **The median value**: Difference
- **The mean value**: Difference
- **The mode value**: Difference
- **The minimum value**: Difference
- **The maximum value**: Difference
- **The total number in the dataset**: Difference