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

0.13 pounds
0.13 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
1 pound

3 pounds
3 pounds
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1 answer

To determine the difference between the modal weights of cats and small dogs based on the provided dot plots:

  1. Identify the modal weight for cats:

    • From the cat weight distribution:
      • 9 pounds: 1 dot
      • 10 pounds: 2 dots
      • 11 pounds: 4 dots
      • 12 pounds: 2 dots
      • 13 pounds: 1 dot
    • The mode is the weight with the highest frequency of dots, which is 11 pounds (4 dots).
  2. Identify the modal weight for small dogs:

    • From the small dog weight distribution:
      • 8 pounds: 1 dot
      • 9 pounds: 2 dots
      • 10 pounds: 4 dots
      • 11 pounds: 2 dots
      • 12 pounds: 2 dots
      • 13 pounds: 2 dots
      • 14 pounds: 1 dot
      • 15 pounds: 1 dot
    • The mode is also 10 pounds (4 dots).
  3. Calculate the difference between the modal weights:

    • Modal weight for cats: 11 pounds
    • Modal weight for small dogs: 10 pounds
    • Difference: 11 - 10 = 1 pound

Thus, the correct answer is 1 pound.