2 histograms, the first titled 40 Years Ago and the second titled Last Year. The Y-axis of each histogram is labeled Number of Guppies, and the X-axis is labeled Spot Size in intervals from 1 to 10, with 1 labeled Small and 10 labeled Large. The bars in the first histogram are grouped on the high end, from 5 to 10. The height of the bars ascends from 5 to 9: bar 10 is the same height as bar 8. The height of the bars in the second histogram ascends and descends evenly from 3 to 9, peaking at 5 and 6, with no bars at 1, 2, 9, and 10.

Question

2 histograms, the first titled 40 Years Ago and the second titled Last Year. The Y-axis of each histogram is labeled Number of Guppies, and the X-axis is labeled Spot Size in intervals from 1 to 10, with 1 labeled Small and 10 labeled Large. The bars in the first histogram are grouped on the high end, from 5 to 10. The height of the bars ascends from 5 to 9: bar 10 is the same height as bar 8. The height of the bars in the second histogram ascends and descends evenly from 3 to 9, peaking at 5 and 6, with no bars at 1, 2, 9, and 10.
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13. Scientists measured the spot size of all the guppies (small fish) that lived in a river 40 years ago. They measured the spot size of the guppy population again last year. When was there more variation in the spot size of guppies in the river?
Responses

a
These bar graphs do not show the amount of variation in the population.
These bar graphs do not show the amount of variation in the population.

b
There was the same amount of variation in spot size 40 years ago and last year.
There was the same amount of variation in spot size 40 years ago and last year.

c
There was more variation 40 years ago.
There was more variation 40 years ago.

d
There was more variation last year.

GPT-4o mini · Answer

To determine when there was more variation in the spot size of guppies in the river, we need to analyze the histograms.

Looking at the histogram titled "40 Years Ago," the data shows a high concentration of guppies with spot sizes between 5 and 10, which indicates a more narrow range of variation compared to the entire potential range (1 to 10).

In contrast, the histogram titled "Last Year" displays a more balanced distribution, peaking at spot sizes 5 and 6, and including more diverse spot sizes (3 to 8) while having no samples for sizes 1, 2, 9, and 10.

The presence of bars across a broader range (with some sizes missing but still showing a wider span of represented sizes) in the last year suggests there is greater variation in spot sizes.

Given this analysis, the correct response would be:

d. There was more variation last year.