Learn Index · Data Management and Statistics Grade 3–5

Bar graphs

A graph with bars whose lengths show amounts.

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Comparing with bars

A bar graph uses bars to show and compare amounts. The longer the bar, the bigger the amount. Bar graphs are great for comparing categories: favourite sports, pets, colours, or sales by month.

Parts of a bar graph

Part Job
Title Tells what the graph is about
Category axis Lists the categories (one bar each)
Value axis Shows the numbers, using a scale
Labels Name each axis
Bars Show the amounts; all the same width with equal gaps

Vertical and horizontal

  • In a vertical bar graph, bars go up. Categories are along the bottom.
  • In a horizontal bar graph, bars go across. Categories are down the side.

Both work the same way. Horizontal bars are handy when category names are long.

Choosing a scale

The scale must go up in equal steps. Pick a step that fits your biggest value without making the graph too tall.

Biggest value Good step
10 1 or 2
50 5 or 10
300 50 or 100

Start the scale at 0. Starting higher exaggerates differences and can mislead readers.

Making a bar graph

Data: Favourite season: Summer 12, Winter 8, Fall 6, Spring 4.

  1. Write a title: "Favourite Seasons in Grade 4".
  2. Draw and label the axes: "Season" and "Number of students".
  3. Choose a scale: 0, 2, 4, 6, 8, 10, 12.
  4. Draw one bar for each season, same width, with gaps between.
  5. Check each bar’s height matches the data.

Reading a bar graph

  • Read across from the top of each bar to the scale.
  • If the bar ends between two numbers, estimate. A bar halfway between 10 and 12 shows 11.

Double bar graphs

A double bar graph shows two sets of data side by side, like boys’ and girls’ favourite seasons. A key tells you which colour is which.

Worked examples

From the season data above:

Example 1: Which season is most popular?

Summer (12).

Example 2: How many more chose winter than spring?

8 − 4 = 4.

Example 3: How many students were surveyed?

12 + 8 + 6 + 4 = 30.

Common mistakes

  • Uneven scales (0, 5, 10, 20, 50), which distort the picture.
  • Bars of different widths.
  • Forgetting the title or axis labels.
  • Starting the scale above 0, which makes small differences look huge.

Try it yourself

A bar graph shows books read: Ava 7, Ben 4, Cal 9, Dee 6.

  1. Who read the most?
  2. How many books did they read altogether?
  3. What would be a good scale step?
  4. How many more did Cal read than Ben?

Answers: 1) Cal 2) 26 3) 1 or 2 4) 5

Quick recap

  • A bar graph compares categories with bar lengths.
  • Use a clear title, labels and an even scale starting at 0.
  • Bars can be vertical or horizontal.