Grade 3 Data & Graphs: Scaled Bar Graphs

Read bar graphs with scales

What You'll Learn

  • Read a scale that counts by 2s, 5s or 10s
  • Read each bar’s amount off the scale
  • Solve how many more, how many fewer and in-all problems

📖Scaled Graphs

The numbers on a scaled bar graph count by 2s, 5s or 10s. Follow the top of a bar across to the scale to read its amount.

💡Tip

Check what the scale counts by first. A bar 4 steps tall on a scale of 5 shows 4 × 5 = 20.

Worked examples

Real problems from the practice worksheets, solved one step at a time.

  1. Example 1

    Favorite Fruit
    02468101214161820pearsapplesorangesbananasNumber of students

    How many students chose apples?

    1. Find the apples bar in the “Favorite Fruit” graph.
    2. The apples bar ends at the line for 18. The scale counts by 2s, so that is 9 steps of 2: 9 × 2 = 18.
    3. So 18 students chose apples.

    Answer: 18

  2. Example 2

    Favorite Snacks
    02468101214161820crackerspretzelspopcornyogurtNumber of students

    How many fewer students chose yogurt than pretzels?

    1. The yogurt bar ends at the line for 14. The scale counts by 2s, so that is 7 steps of 2: 7 × 2 = 14.
    2. The pretzels bar ends at the line for 18. The scale counts by 2s, so that is 9 steps of 2: 9 × 2 = 18.
    3. Subtract to compare: 18 − 14 = 4. So 4 fewer students chose yogurt than pretzels.

    Answer: 4

  3. Example 3

    Favorite Fruit
    0102030405060708090100bananasgrapesorangespearsNumber of students

    Which fruit did the fewest students choose?

    1. Read where each bar ends on the scale (it counts by 10s): bananas 5 × 10 = 50, grapes 7 × 10 = 70, oranges 6 × 10 = 60, pears 9 × 10 = 90.
    2. The smallest amount is 50: it is less than 60, 70, 90.
    3. 50 belongs to bananas, so the answer is bananas.

    Answer: bananas