Comparing Data Distributions Quick Check
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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. 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 greater 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 less than that of small dogs.
Cats, because the range of their weights is less than that of small dogs.
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.
Small dogs, because the range of their weights is less than that of ca
ts.
Small dogs, because the range of their weights is less than that of cats.
Based on the dot plots, the range of weights for small dogs is from 8 to 15, while the range of weights for cats is from 9 to 13. Since the range for small dogs is smaller, it indicates less variability in their weights compared to cats.