Use the image to answer the question.

Question

An illustration shows two sets of dot plots. One is titled Weight in Pounds, Cats and the other is Weight in Pounds, Small Dogs. The plots are shown as an abacus-like representation with dots in a vertical row over each number on a number line. For Cats, a number line with arrows on both ends ranges from 9 to 13 in increments of 1. There is 1 dot above 9, 2 dots above 10, 4 dots above 11, 2 dots above 12, and one dot above 13. For Small Dogs, a number line with arrows on both ends ranges from 8 to 15 in increments of 1. There is 1 dot above 8, 2 dots above 9, 4 dots above 10, 2 dots above 11, 2 dots above 12, 2 dots above 13, 1 dot above 14, and 1 dot above 15.

The dot plots show the weights of randomly selected cats and small dogs in different households. What is the difference between the modal weights of cats and small dogs?

(1 point)
Responses

0.13 pounds
0.13 pounds

3 pounds
3 pounds

The modal weights are the same for cats and small dogs.
The modal weights are the same for cats and small dogs.

1 pound

Answer 1

The modal weight is the weight that appears most frequently in the data represented by the dot plots.

For the cats:

• 9 pounds: 1 dot
• 10 pounds: 2 dots
• 11 pounds: 4 dots (modal weight)
• 12 pounds: 2 dots
• 13 pounds: 1 dot

The modal weight for cats is 11 pounds.

For the small dogs:

• 8 pounds: 1 dot
• 9 pounds: 2 dots
• 10 pounds: 4 dots (modal weight)
• 11 pounds: 2 dots
• 12 pounds: 2 dots
• 13 pounds: 2 dots
• 14 pounds: 1 dot
• 15 pounds: 1 dot

The modal weight for small dogs is 10 pounds.

To find the difference between the modal weights:

• Difference = 11 pounds (cats) - 10 pounds (small dogs) = 1 pound.

Thus, the correct response is:

1 pound.