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Question about Data Representation

Mathematics

Originais Teachy

Data Representation

Medium

(Originais Teachy 2024) - Question Medium of Mathematics

Dinosaurs are an endless source of fascination for children and adults, and paleontological discoveries often lead to research and statistical analysis. A group of scientists, after an excavation at an archaeological site, collected data on the dimensions of fossils from different dinosaur species found. They decided to represent this data in two ways: in a table with the averages of length and height for each species and in a bar graph, where the height of each bar corresponds to the average heights of the fossils and the width of the bars is proportional to the quantity of fossils of that height. If the table provides the average height and length for Tyrannosaurus Rex, Triceratops, and Diplodocus, being 12m and 6m for Tyrannosaurus, 8m and 3m for Triceratops, and 25m and 4m for Diplodocus, respectively, and the bar graph shows Tyrannosaurus with a bar of height 4 cm and width 10 cm, Triceratops with height 3 cm and width 10 cm, and Diplodocus with height 7 cm and width 10 cm, determine which of the two representations provides more details about the variation in dimensions of the fossils among the different dinosaur species.
a.
The bar graph provides more details about the variation in dimensions of the fossils among the different dinosaur species, as it allows for a direct visual comparison of the heights of the bars, reflecting the variation in heights of the fossils.
b.
The bar graph and the table provide the same amount of details about the variation in dimensions of the fossils among the different dinosaur species, as both present the averages of length and height.
c.
The table provides more details about the variation in dimensions of the fossils among the different dinosaur species, as it presents exact values of the average length and height for each species.
d.
The bar graph is less informative about the variation in dimensions of the fossils among the different dinosaur species, as the width of the bars is constant, which does not allow for visual comparison of the variation in heights.
e.
The table and the bar graph are equally informative about the variation in dimensions of the fossils among the different dinosaur species, as both provide a visual representation of the variation in dimensions.

Answer sheet:

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