Question

cat owners

of owners

0-1 2-3 4-5 6-7 8+

of cats

dog owners

of owners

0-1 2-3 4-5 6-7 8+

of dogs

1. determine the shape of the dog owner data and what it means in the context of the problem.

a) uniform, the cat owners have more pets than the dog owners.

b) left skewed, the cat owners have more pets than the dog owners.

c) symmetrical, the cat owners has fewer pets than the dog owners.

d) bimodal, most of the dog owners have more than 6 dogs.

Explanation:

To determine the shape of the Dog Owner data, we analyze the histogram. A symmetrical distribution has data evenly distributed around the center. The Dog Owners' histogram shows bars that are balanced on either side of the peak (4 - 5 dogs). Now, let's check the options:

• Option a: Uniform would have all bars roughly equal, which is not the case here.
• Option b: Left - skewed has a longer tail on the left, but the Dog Owners' histogram doesn't show that. Also, the statement about cat owners having more pets is incorrect as we are analyzing dog owners' data.
• Option c: The Dog Owners' histogram is symmetrical (balanced around the peak), and from the Cat Owners' histogram (taller at 6 - 7 cats) and Dog Owners' (peak at 4 - 5 dogs), cat owners have more pets on average. This option's description about cat owners having fewer pets is wrong, but among the given options, the shape description of symmetrical is correct for the Dog Owners' data (the other options have incorrect shape descriptions or incorrect context). Wait, no, re - evaluating: Wait, the Cat Owners' histogram has a peak at 6 - 7, and Dog Owners at 4 - 5. But the shape of Dog Owners: the bars for 0 - 1, 2 - 3, 4 - 5, 6 - 7, 8+ are such that the left side (0 - 1, 2 - 3) and right side (6 - 7, 8+) are mirror - like around the peak (4 - 5). So the shape is symmetrical. Now, the context part: Wait, maybe a misstatement in the option, but the shape is symmetrical. The other options:
• Option d: Bimodal has two peaks, but the Dog Owners' histogram has one peak at 4 - 5. So the only option with a correct shape description (symmetrical) is option c, even though the context part about cat owners having fewer pets is incorrect (actually cat owners have more pets on average), but among the given options, this is the best as the other shape descriptions are wrong.

Answer:

c) Symmetrical, the cat owners has fewer pets than the dog owners.