知识点 5

Translate between representations (table ↔ graph) when needed.

Match the same data across tables, graphs, and diagrams without swapping variables.

核心知识

The same data can appear in a table, graph, or labeled diagram. Match coordinates, labels, and ordering before choosing the equivalent representation.

深入理解

Representation questions test whether you can carry the same information from one format to another without scrambling the variables.

  • Name each axis or heading before you compare forms.
  • Keep ordered pairs in order: x-value first, y-value second.
  • Check labels and legends so that a correct-looking pattern is also attached to the correct condition.

The common trap is swapping variables because both numbers look familiar.

分步讲解

  1. Identify what each column, axis, or label represents.
  2. Pair each x-value with its correct y-value.
  3. Match the plotted point, bar, or label to that ordered pair.
  4. Eliminate choices that reverse the variables or change the ordering.

常见误解

  • Reversing x and y when moving from a table to a graph.
  • Matching a point to the correct numbers but the wrong condition or legend entry.
  • Assuming a graph is equivalent because it trends upward even when the actual coordinates are wrong.
题目

示例解析

Table 1 lists bubble count for Study 1: 14 at 1 s, 19 at 2 s, 25 at 3 s, and 28 at 4 s. If Figure 2 graphs time on the x-axis and bubble count on the y-axis, which point from Study 1 must appear on Figure 2?

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