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Interpret bar graphs

A bar graph represents categorical data by using the length or height of each bar to show how many items belong to a category, with the title, labels, and scale providing meaning for the quantities. Interpretation includes reading exact values, comparing categories, identifying greatest and least amounts, and answering one- or two-step questions involving totals, differences, and how many more or fewer; the representation is limited to whole-number data with a straightforward, typically single-unit scale rather than fractional values or more advanced scaling.

Detailed Explanation: Interpret bar graphs

A bar graph uses bars to show how many items are in each category. The longer the bar, the greater the amount.

To read a bar graph:

  1. Read the title to learn what the graph shows.
  2. Read the labels to identify the categories.
  3. Check the scale to see what each unit means.
  4. Match the end of each bar to a number.
  5. Compare the numbers or use them to solve the question.

Example

The bar graph shows students’ favorite fruits. Each square represents 11 student.

FruitNumber of students
Apples■■■■ (=4)(=4)
Bananas■■■■■■ (=6)(=6)
Grapes■■■ (=3)(=3)
Oranges■■■■■ (=5)(=5)

Question: How many more students chose bananas than grapes?

First, read the two bars:

  • Bananas: 66 students
  • Grapes: 33 students

Subtract to find how many more:

63=36-3=3

Answer: 33 more students chose bananas than grapes.

The greatest amount is bananas, with 66 students. The least amount is grapes, with 33 students.

Learn by doing: Interpret bar graphs

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Graphing - Bar Graph (Single) - Total of Series


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