Use the dot plots to answer the question.



The dot plots show the weights of randomly selected cats and small dogs in different households. Based on an informal assessment of the visual overlap of these distributions, which animal has the least variability in their weights? Why?

(1 point)
Responses

Cats, because the range of their weights is less than that of small dogs.
Cats, because the range of their weights is less than that of small dogs.

Cats, because the range of their weights is greater than that of small dogs.
Cats, because the range of their weights is greater than that of small dogs.

Small dogs, because the range of their weights is less than that of cats.
Small dogs, because the range of their weights is less than that of cats.

Small dogs, because the range of their weights is greater than that of cats.
Small dogs, because the range of their weights is greater than that of cats.
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1 answer

To determine which animal has the least variability in their weights based on the dot plots, we look for the range of weights for both cats and small dogs.

The animal with the least variability will have a smaller range of weights. Therefore, if the dot plot for cats shows that their weights are closer together (less spread out) compared to small dogs, we would conclude that cats have less variability. Conversely, if the plot for small dogs shows a narrower spread of weights than cats, then small dogs would have less variability.

Based solely on the given responses, we can eliminate those that inaccurately describe the relationship between the ranges:

  • Cats, because the range of their weights is greater than that of small dogs.
  • Small dogs, because the range of their weights is greater than that of cats.

This leads us to focus on:

  • Cats, because the range of their weights is less than that of small dogs.
  • Small dogs, because the range of their weights is less than that of cats.

Without the visual dot plots available for direct analysis, you would choose the one that fits the observed ranges from the dot plots. If the cats show a tighter clustering of weights than the small dogs, you'd choose the first response (about cats). If the opposite holds true, you'd go with the second response (about small dogs).

Assuming that the observations indicate that cats have a smaller range of weights based on your description, your final answer would be:

Cats, because the range of their weights is less than that of small dogs.

However, verify with the actual dot plot for confirmation!

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