Grade 5 Math: Types of Graphs
Match a graph type to the data and the question. Choose supported, standard, or challenge practice with a worked example, printable visual, and explained answers.
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Choosing a graph type
Name: Date:
Match a graph type to the data and the question.
Grade 5 review and application of earlier data skills. Use the stated units and scales. These activities do not claim to cover an entire Grade 5 standard.
Supported practice
Example: A bar graph compares separate categories. A line graph shows values over time. A line plot uses marks to show repeated numerical measurements.
1. Which set contains categories of games?
2. Which set has an ordered time sequence?
3. Which set could have several identical measurements?
4. Choose a graph to compare Set A’s votes.
Supported answers
1. Set A.
2. Set B.
3. Set C; several ribbons can have the same length.
4. A bar graph is suitable because games are separate categories.
Standard practice
Example: Choose the graph that answers your question clearly; a different question may call for a different display.
1. Choose a display for how Set B changes during the morning.
2. Choose a display for how often each ribbon length occurs in Set C.
3. Why might joining game-vote categories with lines be confusing?
4. What labels would Set A’s axes need?
Standard answers
1. A line graph with time horizontally and temperature vertically.
2. A line plot (dot plot) with ribbon length on the horizontal number line and one mark per ribbon.
3. The categories do not form a continuous sequence, so connecting them suggests changes between categories that have no meaning.
4. Game names on one axis and number of votes on the other, plus a title describing the survey.
Challenge practice
Example: More than one display can be valid, but some reveal a particular pattern more clearly.
1. Could a bar graph also show temperature at the four recorded hours? Explain.
2. You want exact numerical readings rather than a visual trend. What display helps?
3. Would a line plot of ribbon lengths preserve the order in which ribbons were measured?
4. A dataset has categories totaling more than 100% because people chose multiple games. Why is a parts-of-one-whole pie chart unsuitable?
Challenge answers
1. Yes, bars can compare the four readings. A line graph usually makes the time trend clearer; neither creates additional measurements.
2. A labeled table gives the exact observations directly.
3. No. It shows the frequency of lengths, not the original measurement order.
4. The categories overlap and are not exclusive parts of one whole. A clearly labeled bar graph of response counts is more suitable.
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