Grade 4 mixed data lesson
Choosing a Data Display: Which Graph, Table, or Diagram?
A data display is a graph, table, or diagram used to show information. Learn how to choose the clearest one for each question.
First, meet six ways to show data
A data display is simply a graph, table, or diagram used to show information. Study the six samples before starting the questions.
A bar graph and a pictogram or pictograph show group totals in different ways. A frequency table organizes counts, a dot plot keeps every number visible, a Venn diagram shows groups that overlap, and a Carroll diagram sorts items using two rules.
How to solve each challenge
Read the question carefully because the same data may work in more than one graph, table, or diagram. Decide what the reader needs to notice, choose one or more answers, and sketch your idea on paper before revealing the solution.
The hidden answer explains the choice and shows every graph, table, or diagram that works well for that question.
Ask yourself
- Category amounts? Consider a bar graph, pictogram, or frequency table.
- Repeated number values? Consider a dot plot or frequency table.
- Overlapping groups? Consider a Venn diagram.
- Two opposite sorting rules? Consider a Carroll diagram.
- More than one good answer? Choose every graph, table, or diagram that fits the question.
Think before revealing
10 choose-the-best-way challenges
For each question, study the data and choose one or more graphs, tables, or diagrams. Try sketching your choice on paper before pressing See Answer.
Favorite fruit survey
Which graph, table, or diagram could you use to show this data clearly? Choose one or more.
| Fruit | Votes |
|---|---|
| Apples | 8 |
| Bananas | 6 |
| Oranges | 4 |
| Pears | 2 |
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A bar graph, pictogram, and frequency table can all show the fruit totals. The bar graph makes comparison easy, the pictogram uses pictures, and the frequency table gives a short list of the exact totals.
Quiz scores
Which graph or table could show every score and how often each score appears? Choose one or more.
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A dot plot keeps every score visible and makes the most common score easy to see. A frequency table also works when you want a short count of each score.
Art club and music club
Which diagram could show children in the art club, music club, both clubs, or neither club?
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A Venn diagram is the clear choice because the overlap is important. Ben and Dina belong in the shared region.
Blue shapes and triangles
Which diagram or diagrams could sort the shapes using the rules blue and triangle? Choose one or more.
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
Both a Venn diagram and a Carroll diagram work. Venn emphasizes the overlap; Carroll shows all four yes-or-no combinations in separate boxes.
Books read by genre
The librarian wants readers to compare the book totals quickly. Which graph is best?
| Genre | Books |
|---|---|
| Adventure | 5 |
| Mystery | 9 |
| Animals | 6 |
| Space | 3 |
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A bar graph is best because comparing the separate bar heights makes the greatest, least, and differences easy to see quickly.
Number of pets in each home
The teacher wants every home’s answer and the repeated numbers to stay visible. Which graph is best?
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A dot plot is best. Every home contributes one dot, and the stack above 1 immediately shows the most common result.
Even numbers and factors of 12
Which diagram could show numbers that follow either rule and place numbers that follow both rules in an overlap?
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A Venn diagram is best because the shared region shows numbers that are both even and factors of 12.
Sorting classroom objects
Every object must go in exactly one box using the rules round/not round and metal/not metal. Which diagram is best?
| Object | Properties |
|---|---|
| coin | round, metal |
| button | round, not metal |
| ruler | not round, metal |
| book | not round, not metal |
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A Carroll diagram is best because the two pairs of opposite rules create exactly four non-overlapping boxes.
Weather during four weeks
Which graph, table, or picture graph could show these weather totals clearly? Choose one or more.
| Weather | Days |
|---|---|
| Sunny | 8 |
| Cloudy | 6 |
| Rainy | 4 |
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A bar graph, pictogram, and frequency table all work. Because every total is even, a pictogram key of one symbol equals 2 days works perfectly.
Standing jump distances
Which graph or table could keep every exact jump distance and show repeated distances? Choose one or more.
Pause here: choose one or more graphs, tables, or diagrams and try drawing them on paper.
Answer
A dot plot shows every exact jump and makes the pattern easy to see. A frequency table also keeps the exact counts in a short form.