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Comparing Data Distributions Quick Check

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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

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

3 pounds
3 pounds

0.13 pounds
0.13 pounds
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1 answer

To determine the difference between the modal weights of cats and small dogs, we first need to identify the mode for each group from the provided dot plots.

From the description of the dot plots:

Cats' Weights (in pounds):

  • 9 pounds: 1 dot
  • 10 pounds: 2 dots
  • 11 pounds: 4 dots (highest frequency)
  • 12 pounds: 2 dots
  • 13 pounds: 1 dot

The mode for cats is 11 pounds (the weight with the highest frequency).

Small Dogs' Weights (in pounds):

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

The mode for small dogs is 10 pounds (the weight with the highest frequency).

Now, we find the difference between the modes:

  • Mode for cats: 11 pounds
  • Mode for small dogs: 10 pounds

Difference = 11 pounds - 10 pounds = 1 pound.

Therefore, the answer is 1 pound.