Question
Which dot plot shows a sample that is most representative of the number of pets in a household?
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
A dot plot going from 0 to 6. There are 2 dots above 1, 3 dots above 2, and 1 dot above 5.
A dot plot going from 0 to 6. There is 1 dot above 0, 2 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, 1 dot above 5, 2 dots above 6.
A dot plot going from 0 to 6. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, 1 dot above 5.
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
A dot plot going from 0 to 6. There are 2 dots above 1, 3 dots above 2, and 1 dot above 5.
A dot plot going from 0 to 6. There is 1 dot above 0, 2 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, 1 dot above 5, 2 dots above 6.
A dot plot going from 0 to 6. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, 1 dot above 5.
Answers
GPT-4o mini
To determine which dot plot is most representative of the number of pets in a household, we want to consider how the data shows a range of pet ownership and follows a trend that reflects typical household pet ownership. The distribution of pets in households generally tends to be skewed towards having fewer pets (0, 1, or 2), as most households do not own many pets at all.
Let's analyze each dot plot:
1. **First Dot Plot**:
- 0 pets: 3 dots
- 1 pet: 5 dots
- 2 pets: 4 dots
- 3 pets: 3 dots
- 4 pets: 2 dots
- 5 pets: 0 dots
- 6 pets: 1 dot
- This distribution shows a peak (most common value) at 1 pet, which is typical of household pet ownership.
2. **Second Dot Plot**:
- 0 pets: 0 dots
- 1 pet: 2 dots
- 2 pets: 3 dots
- 3 pets: 0 dots
- 4 pets: 0 dots
- 5 pets: 1 dot
- This shows a less typical distribution, as it doesn't account for households without pets.
3. **Third Dot Plot**:
- 0 pets: 1 dot
- 1 pet: 2 dots
- 2 pets: 1 dot
- 3 pets: 1 dot
- 4 pets: 1 dot
- 5 pets: 1 dot
- 6 pets: 2 dots
- This distribution has fewer representations for lower numbers of pets and appears more uniform but does not effectively show a common household scenario.
4. **Fourth Dot Plot**:
- 0 pets: 0 dots
- 1 pet: 1 dot
- 2 pets: 2 dots
- 3 pets: 3 dots
- 4 pets: 2 dots
- 5 pets: 1 dot
- This distribution also lacks representation for households with no pets, which skews typical expectations for pet ownership.
### Conclusion:
The first dot plot appears to be the most representative of the number of pets in a household, as it displays a clear peak at 1 pet, which aligns with emerging patterns in pet ownership trends. It also includes a broader representation of households, including those with no pets.
Let's analyze each dot plot:
1. **First Dot Plot**:
- 0 pets: 3 dots
- 1 pet: 5 dots
- 2 pets: 4 dots
- 3 pets: 3 dots
- 4 pets: 2 dots
- 5 pets: 0 dots
- 6 pets: 1 dot
- This distribution shows a peak (most common value) at 1 pet, which is typical of household pet ownership.
2. **Second Dot Plot**:
- 0 pets: 0 dots
- 1 pet: 2 dots
- 2 pets: 3 dots
- 3 pets: 0 dots
- 4 pets: 0 dots
- 5 pets: 1 dot
- This shows a less typical distribution, as it doesn't account for households without pets.
3. **Third Dot Plot**:
- 0 pets: 1 dot
- 1 pet: 2 dots
- 2 pets: 1 dot
- 3 pets: 1 dot
- 4 pets: 1 dot
- 5 pets: 1 dot
- 6 pets: 2 dots
- This distribution has fewer representations for lower numbers of pets and appears more uniform but does not effectively show a common household scenario.
4. **Fourth Dot Plot**:
- 0 pets: 0 dots
- 1 pet: 1 dot
- 2 pets: 2 dots
- 3 pets: 3 dots
- 4 pets: 2 dots
- 5 pets: 1 dot
- This distribution also lacks representation for households with no pets, which skews typical expectations for pet ownership.
### Conclusion:
The first dot plot appears to be the most representative of the number of pets in a household, as it displays a clear peak at 1 pet, which aligns with emerging patterns in pet ownership trends. It also includes a broader representation of households, including those with no pets.