Question

the graph to the right uses cylinders to represent barrels of oil consumed by two countries. does the graph distort the data or does it depict the data fairly? why or why not? if the graph distorts the data, construct a graph that depicts the data fairly. if the graph does not depict the data fairly, which graph below does? (options a, b, c show bar graphs; the cylinder graph shows daily oil consumption (millions of barrels): country a (20.5), country b (5.3))

Explanation:

Part 1: Does the cylinder graph distort data?

The cylinder graph uses 3D cylinders. The volume of a cylinder depends on height and radius. If Country A's cylinder is much wider/taller proportionally than Country B's, it distorts the visual comparison (e.g., if Country A's consumption is ~3.87 times Country B's (20.5/5.3 ≈ 3.87), the 3D cylinder might exaggerate the difference in area/volume, not just height, so it distorts the data by making the difference look larger than the actual ratio of the values.

A fair graph (bar graph) should have bars with heights proportional to the values (20.5 million for A, 5.3 million for B). Let's check the options:

• Option A: Country A's bar height seems ~4, Country B's ~20? No, reversed.
• Option B: Country A's bar height ~20, Country B's ~1? No, not proportional.
• Option C: Country A's bar height ~20 (matches 20.5), Country B's ~5 (matches 5.3) in proportion (20.5/5.3 ≈ 3.87, and 20/5 = 4, close). So Option C has bars with heights proportional to the consumption values (y - axis labeled, bars' heights match the data's ratio).

Answer:

The cylinder graph distorts the data. It uses 3 - D cylinders, so the visual comparison (based on area/volume) misrepresents the ratio of the two countries' oil consumption (only height should represent the value, but 3 - D adds width, distorting perception).

Part 2: Which graph depicts data fairly?