Picture Graphs & Bar Graphs | Grade 2 Math

Picture Graphs and Bar Graphs — Grade 2 Math cover showing two cheerful students, a fruit picture graph and a matching single-unit bar graph
Grade 2 Math Hub › Unit 7: Data & Graphs › Lesson 30
Grade 2 Math — Unit 7: Data & Graphs

Picture Graphs & Bar Graphs

Learn to collect and organize category data, draw a picture graph with one symbol per student, and create a bar graph with a single-unit scale. Compare the counts, solve put-together and take-apart problems, find missing information, and explain what a graph shows.

Practice with 25 fully worked examples, 30 independent practice problems, and a 15-question lesson test, all with answers kept hidden until you choose to open them.

CCSS 2.MD.D.101 picture = 1 studentSingle-unit bar graphsUp to 4 categoriesFree practice + test

๐ŸŽฏ What You Will Learn

Organize data

Ask one survey question, record answers, tally the votes, and keep every category clearly labeled.

Create a picture graph

Show one picture for each student and use a key so anyone can read the rows.

Draw a bar graph

Start the scale at 0, count by ones, and draw equal-width bars that match the data.

Solve graph problems

Find totals, differences, missing counts, and groups that are tied or have zero votes.

Common Core alignment — 2.MD.D.10. Draw a picture graph and a bar graph with a single-unit scale to represent data with up to four categories. Solve simple put-together, take-apart, and compare problems using information shown in a bar graph. Read the official standard. The pictures and bars in this lesson count one student at a time; grouped scales and multi-unit picture keys are not needed.

๐Ÿง  Key Vocabulary

Data and category

Data are facts we collect. A category is one named group, such as Apples or Bananas.

Survey and tally

A survey asks a question. A tally is a way to record each answer before counting the results.

Picture graph and key

A picture graph uses repeated symbols. Its key tells what one picture represents.

Bar graph and scale

A bar graph uses bars. Its numbered axis is a scale that lets us read the bar height or length.

Most, fewest, and tie

Most means the greatest count; fewest means the least count. A tie means equal counts.

Difference and total

Total means how many in all. Difference tells how many more or fewer.

Big idea: A picture graph and a bar graph can represent the same survey. Both must show the same number in each category. In this lesson one picture represents one student, and one numbered step represents one student.

๐Ÿ“‹ 1. Gather and Sort Data

Ask a clear question such as “Which fruit do you like best?” Each student chooses one category. Count each answer exactly once. For example, nine students choose Apples, Bananas, or Oranges according to this table:

Favorite FruitsNumber of students
Apples4
Bananas2
Oranges3

We find the class total by adding 4 + 2 + 3 = 9 students. A table is a useful first step before drawing a graph. Keep the same categories when you move from a table to a graph.

⭐ 2. Make a Picture Graph

A picture graph shows a row of symbols for each category. Look for the key at the bottom. In the graph below, one star represents exactly one student. Four stars for Apples represent four students. A blank row represents zero, not a forgotten category.

Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Counting check: Four symbols + two symbols + three symbols = nine symbols. That matches nine students in the table. The symbol can be a star, a circle, or a simple drawing as long as the key is clear.

๐Ÿ“Š 3. Draw a Bar Graph with a One-Unit Scale

A bar graph shows each category with a colored bar. Label the category axis and the numbered axis. The number scale starts at 0 and goes up by 1 at each step. A bar with a height of four represents four students; the color does not change the count.

Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Build it carefully: Draw the numbered scale first, use equal steps, give all bars a common starting line at 0, keep the bars the same width, and leave gaps between categories.

๐Ÿ”„ 4. Turn a Data Table into Two Graphs

Picture graphs and bar graphs use different shapes, but the counts must agree. Try making both graphs for a new survey with four categories. Always write the graph title and labels.

Favorite School ClubsNumber of students
Art3
Music5
Science4
Sports2
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.

Count the symbols and read the bars: Art 3, Music 5, Science 4, Sports 2. Both graphs represent the same 14 students. A graph must not silently change the data.

➕ 5. Use Graphs to Add and Subtract

Put together means add counts from different categories. Take apart means subtract one group from a whole. Compare means subtract the smaller count from the larger count to find how many more or fewer.

How many in all?

For the fruit graph: 4 + 2 + 3 = 9 students.

How many more?

Apples 4 − Bananas 2 = 2 more students.

How many did not choose Apples?

9 − 4 = 5 students chose another fruit.

How many are missing?

If the whole class has 9 votes and two categories total 6, then 9 − 6 = 3 in the remaining category.

๐Ÿ› ️ 6. Check Graphs and Correct Mistakes

Check the graph title, every category label, the picture key or numbered axis, and the counts. The categories must have no more than four groups in this lesson. If a category has zero votes, keep its label but draw no picture or bar. When two categories share the greatest count, report a tie.

Common trap: Do not count gridlines instead of steps. The height of a bar is the number where its top lands. Do not count the labels as an extra vote. Use a one-unit scale rather than 0, 2, 4, 6, 8 in this Grade 2 lesson.

๐ŸŒŸ 25 Worked Examples

Try each problem before opening the detailed solution. Some problems begin with a finished graph; others ask you to make or correct one. Answers are hidden until you expand their solutions.
1Read one picture row
How many students chose Bananas in the favorite fruits survey?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Locate the Bananas category on the graph.

Step 2. Count its picture symbols, one student per star: 2 students.

Step 3. Record the number for Bananas: 2.

Answer: 2 students
2Read the height of a bar
How many students chose Cats in the favorite pets survey?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Locate the Cats category on the graph.

Step 2. Read the bar using the scale that increases by one: 4 students.

Step 3. Record the number for Cats: 4.

Answer: 4 students
3Find the most popular category
Which category received the most votes, and how many students chose it?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read the counts for every category: Blue 7, Green 4, Yellow 3.

Step 2. The greatest count is 7, shown for Blue.

Step 3. Name the category and its count.

Answer: Blue, 7 students
4Find the fewest votes
Which category received the fewest votes, and how many students chose it?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read each count: Soccer 8, Tennis 3, Swimming 5.

Step 2. The smallest count is 3, for Tennis.

Step 3. Write both the category and the number of students.

Answer: Tennis, 3 students
5Count all picture symbols
How many students were surveyed altogether?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read each category count: Crackers 5, Pretzels 4, Apples 3.

Step 2. Add every category: 5 + 4 + 3 = 12.

Step 3. Each student contributes one vote, so the total is the sum of all categories.

Answer: 12 students
6Put two groups together
How many students chose Stories or Comics in all?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Find the counts for Stories and Comics: 7 and 5.

Step 2. Add the two groups: 7 + 5 = 12.

Step 3. These are different choices, so add the two category counts.

Answer: 12 students
7Compare two bars by subtraction
How many more students chose Drawing than Clay?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read Drawing: 8 students, and Clay: 3 students.

Step 2. Subtract to compare the groups: 8 − 3 = 5.

Step 3. Drawing received 5 more votes than Clay.

Answer: 5 more students
8Notice a category with zero votes
Which category received no votes, and what number should we record for it?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Look for the picture-graph row with no symbols.

Step 2. The Hopscotch row has no picture symbols.

Step 3. That is a count of zero, not a missing category.

Answer: Hopscotch, 0 students
9Find students outside one category
How many students chose something other than Tables?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. First add every category: 6 + 4 + 3 = 13.

Step 2. 4 chose Tables.

Step 3. Subtract this group from the total: 13 − 4 = 9.

Answer: 9 students
10Draw a picture graph from a table
Use the table to draw a picture graph for favorite playground choices. Show all categories and use one unit for each student.
Favorite Playground ChoicesNumber of students
Slide5
Swings3
Sandbox4
Blank graph: use the data in the table; complete it before opening the solution.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read the table: Slide 5, Swings 3, Sandbox 4.

Step 2. Draw one star for each student in every labeled row; write a key stating one star = one student.

Step 3. Check that the completed picture graph has 12 stars in total (5 + 3 + 4), matching the table.

Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Answer: Graph counts: Slide 5, Swings 3, Sandbox 4.
11Draw a bar graph from a table
Use the table to draw a bar graph for favorite school colors. Show all categories and use one unit for each student.
Favorite School ColorsNumber of students
Red4
Blue6
Green2
Yellow5
Blank graph: use the data in the table; complete it before opening the solution.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read the table: Red 4, Blue 6, Green 2, Yellow 5.

Step 2. Label the categories, start the number axis at 0, count by ones, and draw each bar to its correct height.

Step 3. Check that the four bar heights total 17 students (4 + 6 + 2 + 5), matching the table.

Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Answer: Graph counts: Red 4, Blue 6, Green 2, Yellow 5.
12See the same data in two graph types
Both graphs show the same class survey. How many students voted in all, and what must agree between the graphs?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Compare the categories in the picture graph and bar graph: Apples 4, Bananas 2, Oranges 3.

Step 2. Count the symbols or read the bar heights; each category has the same value in both displays.

Step 3. Add the categories: 4 + 2 + 3 = 9 total votes.

Answer: 9 students; the category counts match in both graphs
13Find a missing bar from the total
There were 18 students in the survey, but the Reader value is hidden. How many students chose Reader?
Incomplete graph: use the total and the visible categories to find the missing count.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Add the visible counts: 6 + 4 + 5 = 15.

Step 2. The full survey has 18 students, so subtract: 18 − 15 = 3.

Step 3. The missing Reader category must have 3 students.

Answer: 3 students
14Complete a missing picture row
There were 14 students in the survey, but the Drumming value is hidden. How many students chose Drumming?
Incomplete graph: use the total and the visible categories to find the missing count.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Add the visible counts: 5 + 4 + 2 = 11.

Step 2. The full survey has 14 students, so subtract: 14 − 11 = 3.

Step 3. The missing Drumming category must have 3 students.

Answer: 3 students
15Read a horizontal bar graph
Which category received the fewest votes, and how many students chose it?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read each count: Owls 4, Foxes 7, Bears 5.

Step 2. The smallest count is 4, for Owls.

Step 3. Write both the category and the number of students.

Answer: Owls, 4 students
16Compare two pairs of categories
How many more students chose Art and Music together than Coding and Chess together?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Add Art and Music: 7 + 6 = 13.

Step 2. Add Coding and Chess: 4 + 3 = 7.

Step 3. Subtract the two totals: 13 − 7 = 6.

Answer: 6 more students
17Add more votes to a category
After the graph was made, 2 more students voted for Soup. What is its new count, and how many votes are there now in all?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Before the change, Soup has 3 students.

Step 2. Add 2 new votes: 3 + 2 = 5.

Step 3. The original total is 12; add 2 to get 14 students altogether.

Answer: Soup: 5; new total: 14
18Move votes between categories
2 students change their vote from Soccer to Relay. What are the new counts for those two categories, and does the total change?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Start with Soccer = 7 and Relay = 3.

Step 2. Soccer loses 2: 7 − 2 = 5; Relay gains 2: 3 + 2 = 5.

Step 3. No student joined or left. The total stays 15.

Answer: Soccer: 5; Relay: 5; total remains 15
19Compare two different surveys
The two bar graphs show two different class surveys. Which group has more students, and by how many?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Add Group A: 4 + 3 + 5 = 12.

Step 2. Add Group B: 5 + 6 + 4 = 15.

Step 3. Subtract: 15 − 12 = 3, so Group B has 3 more students.

Answer: Group B, by 3 students
20Check and fix a bar graph
A student drew a graph from the survey table but made one mistake. Which bar is incorrect, and how should it be fixed?
Favorite Hobbies — correct tableNumber of students
Reading5
Drawing7
Music3
Student draft: check the drawing against the data table.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Compare each shown graph value with the matching row in the table.

Step 2. The Drawing row says 7, but the student drew 6.

Step 3. Correct Drawing: change the bar height from 6 to 7. The other categories are already right.

Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Answer: Drawing — change the bar height from 6 to 7
21Check and fix a picture graph
A student drew a graph from the survey table but made one mistake. Which picture row is incorrect, and how should it be fixed?
Favorite Badges — correct tableNumber of students
Stars4
Hearts3
Moons2
Student draft: check the drawing against the data table.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Compare each shown graph value with the matching row in the table.

Step 2. The Stars row says 4, but the student drew 5.

Step 3. In the Stars row, remove one star so that four remain. The other categories are already right.

Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Answer: Stars — remove 1 star, leaving 4 stars for Stars
22Recognize a tie for the most votes
Which two categories are tied for the greatest number of votes? Give their common count.
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Compare every category: Swimming 6, Hiking 4, Cycling 6.

Step 2. The greatest count is 6, and two categories reach it.

Step 3. Swimming and Cycling each have 6 votes, so there is a tie.

Answer: Swimming and Cycling, 6 each
23Draw two kinds of graphs from one table
Use the table to draw a picture graph and a bar graph for favorite classroom plants. Show all categories and use one unit for each student.
Favorite Classroom PlantsNumber of students
Sunflowers4
Daisies6
Roses3
Tulips2
Blank graph: use the data in the table; complete it before opening the solution.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Blank graph: use the data in the table; complete it before opening the solution.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Read the table: Sunflowers 4, Daisies 6, Roses 3, Tulips 2.

Step 2. Draw one picture for each vote in a picture graph, then draw bars to the same counts on a one-unit scale.

Step 3. Check each completed graph separately: both must represent 15 students in total (4 + 6 + 3 + 2).

Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Answer: Graph counts: Sunflowers 4, Daisies 6, Roses 3, Tulips 2.
24Test whether two totals are equal
Do the students who chose Juice and Milk together equal the number who chose Water? Explain.
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Combine Juice and Milk: 3 + 4 = 7.

Step 2. Compare that with Water: 7.

Step 3. The numbers are equal.

Answer: Yes; 7 compared with 7
25Solve a two-step bar-graph question
How many more students chose Park and Library together than Movies and Home together?
Each picture or one-unit tick represents exactly one student.
On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
Show step-by-step solutionHide solution

Step 1. Add Park and Library: 8 + 5 = 13.

Step 2. Add Movies and Home: 4 + 3 = 7.

Step 3. Subtract the two totals: 13 − 7 = 6.

Answer: 6 more students

✍️ Independent Practice — 30 Problems

Use the picture graphs, bar graphs, and data tables below. Draw any missing graph on paper, or explain your answer in a sentence. Check the hidden practice key only after trying every question.

  1. How many students chose Fish in the favorite pets survey?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  2. How many students chose Dance in the favorite sports survey?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  3. Which category received the most votes, and how many students chose it?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  4. Which category received the fewest votes, and how many students chose it?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  5. How many students were surveyed altogether?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  6. How many students chose Apples or Grapes in all?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  7. How many more students chose Markers than Paint?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  8. Which category received no votes, and what number should we record for it?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  9. How many students chose something other than Rainy?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  10. Use the table to draw a picture graph for favorite games. Show all categories and use one unit for each student.
    Favorite GamesNumber of students
    Tag4
    Hide-and-Seek6
    Hopscotch2
    Blank graph: use the data in the table; complete it before opening the solution.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  11. Use the table to draw a bar graph for favorite school clubs. Show all categories and use one unit for each student.
    Favorite School ClubsNumber of students
    Drama5
    Music3
    Art7
    Science4
    Blank graph: use the data in the table; complete it before opening the solution.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  12. Both graphs show the same class survey. How many students voted in all, and what must agree between the graphs?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  13. There were 18 students in the survey, but the Mystery value is hidden. How many students chose Mystery?
    Incomplete graph: use the total and the visible categories to find the missing count.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  14. There were 14 students in the survey, but the Eggs value is hidden. How many students chose Eggs?
    Incomplete graph: use the total and the visible categories to find the missing count.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  15. Which category received the fewest votes, and how many students chose it?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  16. How many more students chose Soccer and Cycling together than Swimming and Running together?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  17. After the graph was made, 3 more students voted for Teal. What is its new count, and how many votes are there now in all?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  18. 2 students change their vote from Relay to Kickball. What are the new counts for those two categories, and does the total change?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  19. The two bar graphs show two different class surveys. Which group has more students, and by how many?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  20. A student drew a graph from the survey table but made one mistake. Which bar is incorrect, and how should it be fixed?
    Favorite Art — correct tableNumber of students
    Drawing7
    Painting4
    Clay5
    Student draft: check the drawing against the data table.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  21. A student drew a graph from the survey table but made one mistake. Which picture row is incorrect, and how should it be fixed?
    Favorite Animal Puppets — correct tableNumber of students
    Dogs3
    Cats5
    Birds2
    Student draft: check the drawing against the data table.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  22. Which two categories are tied for the greatest number of votes? Give their common count.
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  23. Use the table to draw a picture graph and a bar graph for favorite summer foods. Show all categories and use one unit for each student.
    Favorite Summer FoodsNumber of students
    Corn4
    Salad3
    Sandwiches5
    Soup2
    Blank graph: use the data in the table; complete it before opening the solution.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
    Blank graph: use the data in the table; complete it before opening the solution.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  24. Do the students who chose Dots and Stars together equal the number who chose Stripes? Explain.
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  25. How many students chose Bus in the trips to school survey?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  26. How many students chose Flute or Guitar in all?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  27. How many more students chose Comics than Stories?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  28. There were 20 students in the survey, but the Green value is hidden. How many students chose Green?
    Incomplete graph: use the total and the visible categories to find the missing count.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  29. How many students chose something other than Zoo?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  30. How many more students chose Reading and Drawing together than Puzzles and Building together?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.

๐Ÿ† Lesson Test — 15 Questions

Work independently, then open the test key to check your responses. Use a ruler and graph paper if you need to draw a graph. Every picture represents one student, and every bar uses one-unit steps.

  1. How many students chose Cake in the favorite desserts survey?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  2. How many students chose Science in the favorite school clubs survey?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  3. How many students were surveyed altogether?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  4. How many more students chose Sneakers than Boots?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  5. Which category received the most votes, and how many students chose it?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  6. Which category received the fewest votes, and how many students chose it?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  7. How many students chose Carpet or Cushions in all?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  8. How many students chose something other than Bananas?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  9. Use the table to draw a picture graph for favorite sports. Show all categories and use one unit for each student.
    Favorite SportsNumber of students
    Soccer4
    Tennis3
    Swimming5
    Blank graph: use the data in the table; complete it before opening the solution.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  10. Use the table to draw a bar graph for favorite crafts. Show all categories and use one unit for each student.
    Favorite CraftsNumber of students
    Folding6
    Sewing2
    Painting4
    Cutting3
    Blank graph: use the data in the table; complete it before opening the solution.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  11. There were 18 students in the survey, but the Birds value is hidden. How many students chose Birds?
    Incomplete graph: use the total and the visible categories to find the missing count.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  12. A student drew a graph from the survey table but made one mistake. Which bar is incorrect, and how should it be fixed?
    Favorite Colors — correct tableNumber of students
    Blue7
    Red4
    Yellow2
    Student draft: check the drawing against the data table.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  13. Both graphs show the same class survey. How many students voted in all, and what must agree between the graphs?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  14. 2 students change their vote from Dancing to Reading. What are the new counts for those two categories, and does the total change?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.
  15. How many more students chose Tag and Chess together than Puzzles and Cards together?
    Each picture or one-unit tick represents exactly one student.
    On a narrow screen, swipe sideways to see the whole graph. With a keyboard, focus it and use the arrow keys.

๐Ÿ” Complete Answer Key

Keep the keys closed until you have finished. If a question asks you to draw a graph, its answer gives the correct count for each category; use it to check every row or bar.

Show Practice Answer KeyHide Practice Answer Key
1. 2 students — Fish represents 2 on the graph.
2. 4 students — Dance represents 4 on the graph.
3. Blue, 9 — the greatest count.
4. Crackers, 3 — the smallest count.
5. 12 students — 4 + 5 + 3 = 12.
6. 11 students — 6 + 5 = 11.
7. 4 more — 8 − 4 = 4.
8. Fish — 0 students (keep the category on the graph).
9. 12 students — 15 − 3 = 12.
10. Graph counts: Tag 4, Hide-and-Seek 6, Hopscotch 2. Each star represents one student.
11. Graph counts: Drama 5, Music 3, Art 7, Science 4. Each one-unit step on the bar graph represents one student.
12. 12 students — 4 + 5 + 3 = 12; both graphs match category by category.
13. 5 students — 18 − 13 = 5.
14. 3 students — 14 − 11 = 3.
15. Foxes, 2 — the smallest count.
16. 7 more — 12 − 5 = 7.
17. Teal: 6; total: 15 — 3 + 3 = 6 and 12 + 3 = 15.
18. Relay: 4; Kickball: 6; total remains 15.
19. Group B, by 3 — Group A 9, Group B 12.
20. Painting: change the bar height from 3 to 4.
21. Birds: remove one star from the Birds row, leaving two.
22. Bingo and Charades, 6 students each — a tie.
23. Graph counts: Corn 4, Salad 3, Sandwiches 5, Soup 2. Each star on the picture graph represents one student; each one-unit step on the bar graph represents one student.
24. Yes — 6 = 6.
25. 8 students — Bus represents 8 on the graph.
26. 10 students — 3 + 7 = 10.
27. 5 more — 8 − 3 = 5.
28. 5 students — 20 − 15 = 5.
29. 9 students — 16 − 7 = 9.
30. 6 more — 12 − 6 = 6.
Show Test Answer KeyHide Test Answer Key
1. 4 students — Cake represents 4 on the graph.
2. 7 students — Science represents 7 on the graph.
3. 12 students — 4 + 6 + 2 = 12.
4. 5 more — 8 − 3 = 5.
5. Flute, 7 — the greatest count.
6. Build, 3 — the smallest count.
7. 8 students — 5 + 3 = 8.
8. 10 students — 15 − 5 = 10.
9. Graph counts: Soccer 4, Tennis 3, Swimming 5. Each star represents one student.
10. Graph counts: Folding 6, Sewing 2, Painting 4, Cutting 3. Each one-unit step on the bar graph represents one student.
11. 4 students — 18 − 14 = 4.
12. Red: change the bar height from 3 to 4.
13. 12 students — 5 + 3 + 4 = 12; both graphs match category by category.
14. Dancing: 4; Reading: 6; total remains 13.
15. 6 more — 14 − 8 = 6.

๐Ÿ’ก Common Mistakes to Watch For

Leaving out the key

Say what one picture means. In our picture graphs, one star stands for one student.

Using an uneven number scale

The bar graph numbers must increase by one at every equal step.

Starting a bar above 0

Bars begin at the same zero baseline, so their lengths can be compared correctly.

Forgetting a zero-count category

Keep the label even when there is no bar or picture in that group.

Mixing the same category across graphs

If the picture graph has 5 stars for Music, the bar graph must reach 5 for Music too.

Adding instead of comparing

For “how many more,” subtract. For “how many in all,” add.

๐Ÿก Family Practice Idea

Survey at home: Ask family members to choose a favorite season, snack, or game. Use at most four categories. Record each answer with a tally, make a picture graph with one star per person, and draw a matching bar graph on squared paper. Ask “Which has more?” and “How many in all?” to explain the results.

๐Ÿ”— Related Lessons

Grade 2 Lesson 29 — Money: Coins, Dollar Bills & Word Problems

Review addition, subtraction, and real-life counting problems.

 Grade 2 Lesson 27 — Measurement Data & Line Plots

Compare a line plot of lengths with a graph of categories.

 Grade 2 Lesson 28 — Tell Time to the Nearest Five Minutes

Practice reading visual information accurately.

 Grade 2 Lesson 26 — Addition & Subtraction on a Number Line

Strengthen addition and subtraction used in graph problems.

 Grade 2 Math Hub

Find more free Grade 2 math lessons and printable practice.

๐Ÿ–จ️ Printable Companion

Print this lesson from your browser: Use Ctrl+P (Windows) or Command+P (Mac). Draw the missing bars or symbols on the printed blank graphs. Keep the answer-key panels closed if you want students to work without seeing answers. No separate PDF download is required.
← Lesson 29: Money & Word ProblemsGrade 2 Math HubNext: Lesson 31 (coming soon)

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