Question

The dot plot show the weights of randomly selected cats and dogs in different households. What is the difference between the model weights of cats and small dogs?
Weight in pounds for cats shows- on a timeline 9- 1 dot,10 - 2dots, 11- 4 dots, 12- 2 dots ,13-1 dot
Weight in pounds for small dogs- on a time line - 8- 1 dot, 9- 2 dots, 10- 4 dots, 11- 2 dots, 12- 2 dots, 13- 2 dots, 14- dots, 15- 1 dot.
The model weights are the same for cats and small dogs.
0.13 pounds
3 pounds
1 pound

Answer 1

To find the model weight (or the mode) for both the cats and small dogs, we need to identify the weight that appears most frequently in each group.

**Weights for cats:**
- 9 lbs: 1 dot
- 10 lbs: 2 dots
- 11 lbs: 4 dots
- 12 lbs: 2 dots
- 13 lbs: 1 dot

The mode for cats is **11 lbs** (since it has the highest frequency of 4 dots).

**Weights for small dogs:**
- 8 lbs: 1 dot
- 9 lbs: 2 dots
- 10 lbs: 4 dots
- 11 lbs: 2 dots
- 12 lbs: 2 dots
- 13 lbs: 2 dots
- 14 lbs: 1 dot
- 15 lbs: 1 dot

The mode for small dogs is **10 lbs** (since it has the highest frequency of 4 dots).

Now, to find the difference between the mode weights of cats and small dogs:

\[
\text{Difference} = \text{Mode weight of cats} - \text{Mode weight of small dogs} = 11 \text{ lbs} - 10 \text{ lbs} = 1 \text{ lb}
\]

Therefore, the difference between the model weights of cats and small dogs is **1 pound**.