Question

Question

Use the image to answer the 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

1 pound
1 pound

3 pounds
3 pounds

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

Answer 1

To determine the modal weights for cats and small dogs, we need to identify the mode from each dot plot, which is the weight that appears most frequently.

For the Cats:

• 9 pounds: 1 dot
• 10 pounds: 2 dots
• 11 pounds: 4 dots (most frequent)
• 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 (most frequent)
• 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.

Now, we can find the difference between the modal weights of cats and small dogs:

• Modal weight for cats: 11 pounds
• Modal weight for small dogs: 10 pounds

Difference: 11 - 10 = 1 pound

Thus, the answer is 1 pound.