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PP.1 Interpret bar graphs to solve problems

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What is a bar graph?

Bar graphs are a way to show data using bars of different lengths or heights. Each bar represents a category, and the size of the bar shows how many items are in that category.

Example:
  • A bar graph could show how many students like apples, bananas, and grapes.
  • The taller the bar, the greater the number.
Note

Bar graphs help us compare data quickly. The longest bar shows the largest group, and the shortest bar shows the smallest group.

How to identify parts of a bar graph

Every bar graph has important parts that help us understand the data correctly.

Parts of a Bar Graph:
  • Title – tells what the graph is about
  • Categories – what each bar represents (such as types of fruit)
  • Scale – the numbers along the side that show how many
  • Bars – the rectangles that show the data
Note

Always read the title and scale before looking at the bars. This will help you understand the data correctly.

How to read and interpret a bar graph

To interpret a bar graph, look at the height or length of each bar and compare it to the scale. Then answer questions using the information.

Steps:
  • Look at the title to know what the graph shows.
  • Check the scale to see what the numbers mean.
  • Read each bar to find the data it represents.
  • Compare bars to see which is larger or smaller.
Note

When solving problems, think about words like “how many in all,” “how many more,” or “how many fewer.” These help guide your answer.

Examples of solving problems with bar graphs

Bar graphs are often used to answer real-world questions. You can solve problems by adding, subtracting, or comparing data from the graph.

Examples:
  • If 12 students like apples and 8 like bananas, then 4 more students like apples than bananas.
  • If 6 students like grapes and 9 like oranges, then 6 + 9 = 15 students like grapes and oranges in total.
  • The tallest bar shows the most popular choice. The shortest bar shows the least popular choice.
Note

Always use the numbers from the scale to support your answer. Double-check your math to make sure your answer makes sense with the graph.