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?

A. Cats, because the range of their weights is greater than that of small dogs.
B. Small dogs, because the range of their weights is greater than that of cats.
C. Cats, because the range of their weights is less than that of small dogs.
D. Small dogs, because the range of their weights is less than that of cats.

3 answers

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

The dot plot for cats shows a smaller range from 9 to 13, while the dot plot for small dogs shows a larger range from 8 to 15. This indicates that the weights of small dogs have more variability compared to cats.
Comparing Data Distributions Quick Check
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How about this one?

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?

A. The modal weights are the same for cats and small dogs.
B. 1 pound
C. 3 pounds
D. 0.13 pounds
B. 1 pound

The modal weight for cats is 11 pounds (4 dots) and the modal weight for small dogs is 10 pounds (4 dots). Therefore, the difference between the modal weights of cats and small dogs is 1 pound.