Question

Pugs and bagels are two different dog breeds the diet plot shows two sets of weight data, one for pugs and the other for vehicles
Pug weights in kilograms
Above the 6 is one dot, 6.2 has 2 dots, 6.4 has 2 dots, 6.8 has 2 dots, 7 has3 dots, 7.2 has 3 dots, 7.4 has 1 dot, 7.6 has 2dots, 7.8 has 1 dot and 8 has 1 dot
The main rate for the pugs is 7 kg and the MAD is 0.5 kg
Beagle weights in kilograms
above the 9 has 1 dot, above 9.2 has 2 dots, above the 9.4 has 1 dot, 9.6 has 3 dots, 9.8 has 1 dot, 10 has 3 dots, 10.2 has 3 dots, 10.4 has 1 dot, 10.6 has 2 dots, 10.8 has 2 dots, 11 has 1 dot
The main weight for the beagle is 10 kg and the MAD is 0.5 kg
Which statement accurately compares the main and the main absolute deviation of each data set
Bagels on average or lighter than pugs and have a higher variability than pugs
Plugs on average or lighter than beagles, and have equal variability
Bagels on average are heavier and have a lower variability than pugs
Plugs on average of the same weight as beagles and have equal variability

Answer 1

Let's analyze the provided information about the weights of pugs and beagles to determine which statement is accurate in comparing their main weights (mean) and mean absolute deviations (MAD).

### Pug Weights:
- **Mean Weight**: 7 kg
- **MAD**: 0.5 kg

### Beagle Weights:
- **Mean Weight**: 10 kg
- **MAD**: 0.5 kg

### Comparing the Two Breeds:
1. **Mean Weight**:
- Pugs (7 kg) are lighter than beagles (10 kg).

2. **Mean Absolute Deviation (MAD)**:
- Both pugs and beagles have the same MAD of 0.5 kg, indicating that their variability in weights is equal.

### Evaluating the Statements:
1. **Bagels on average are lighter than pugs and have a higher variability than pugs.**
- Incorrect: Beagles are heavier than pugs, and their variability is equal.

2. **Pugs on average are lighter than beagles and have equal variability.**
- Correct: Pugs (7 kg) are lighter than beagles (10 kg) and both have an MAD of 0.5 kg.

3. **Bagels on average are heavier and have a lower variability than pugs.**
- Incorrect: Beagles are heavier than pugs, but their variability is equal, not lower.

4. **Pugs on average are of the same weight as beagles and have equal variability.**
- Incorrect: Pugs are lighter than beagles.

### Conclusion:
The accurate statement is: **"Pugs on average are lighter than beagles and have equal variability."**