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Draw single line graphs
Turn a data table into a line graph. Easy practice has five categories; hard practice has seven and an explicit conversion between table and axis units.
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Graph worksheets
Turn a table into a picture, read what a chart says, or summarize a dataset. Begin with the labels and scale, then explain how the displayed values answer the question.
Choose a graph activityData and interpretation
Draw and read a single line
Connect ordered observations with a table and scale, then explain values and changes.
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Read single line graphs
Answer five questions from a completed line graph, from reading values and changes to combining quantities and explaining comparisons.
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Compare two series
Keep series identities clear while plotting, comparing or combining their values.
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Draw double line graphs
Plot two related series from one table on the same labeled grid. Use the legend to keep their points and lines distinguishable.
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Read double line graphs
Compare two series on a shared graph and answer five questions about values, changes, totals and differences.
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Build and interpret bar charts
Match category values to consistent bar heights and use the stated axis units.
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Draw bar graphs
Turn a five- or seven-category table into a bar chart. Hard practice adds an explicit conversion between the table values and axis units.
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Read bar graphs
Use a completed bar chart to read values, find changes and comparisons, or calculate sums and differences in five focused questions.
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Read shares, X marks and pictures
Use percentage totals or a symbol key. Hard numerical line plots introduce frequency, probability and mean.
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Read pie charts
Interpret two six-category percentage distributions with five questions each. Optionally hide one recoverable share on each student chart.
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Interpret line plots
Read an easy categorical stacked-X display or a hard numerical frequency plot. Answer ten questions using the displayed key and data.
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Interpret pictographs
Use seven ordered categories and a whole-symbol key to answer seven questions about totals, comparisons and groups.
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Summarize a dataset
Find exact quartiles and represent the spread of observations with a box and minimum-to-maximum whiskers.
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Five-number summaries
Calculate minimum, lower quartile, median, upper quartile and maximum for four or six datasets with 9–13 observations.
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Draw box-and-whisker plots
Find five-number summaries for three datasets, then draw each box plot on its labeled axis. Choose data lengths, order and number range.
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Box-and-whisker word problems
Read two original data stories, complete their five-number summaries and draw box plots on the provided axes.
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Count groups and explain the key together
Easy picture and categorical X displays can support a teacher-led discussion after the learner can count the shown quantities. Read the labels together and explain what each symbol represents; one symbol need not mean one object. Begin with a few appropriate read-and-compare questions. Numerical probability plots and quartiles are later tasks.
Count X groups with a teacher
Use only after the learner can count the displayed groups. The teacher reads category labels and explains the printed X-to-count key; do not assume X means one.
Open this supported starter →Read picture groups together
The teacher reads labels and the symbol-value key. Count in groups using that scale, and choose a few suitable read or compare questions first.
Open this supported starter →Match the representation to the data
Line graphs connect ordered observations; bars compare category quantities. Pie charts describe shares of one whole. Pictographs and X displays need a key, while box plots summarize numerical observations through five values.
Read the axis or symbol key before answering. Hard drawing tasks state a conversion between table and axis units. A stack of X marks or pictures is a quantity only after applying its printed key.
Keep the statistics convention visible
Sort before calculating. For odd-length datasets, exclude the overall median from both halves; find each half’s median for Q1 and Q3. Average middle pairs exactly. Whiskers reach the observed minimum and maximum, with no separate outlier rule.
Random, ascending and descending settings change the order in which observations are presented. They do not change the sampled set or its summary. When an answer asks for all categories or pairs, include every tied result.
Looking for ordered pairs?
Study scatterplots, correlation and regression →
Practice x and y positions, signed coordinates and connected pictures in the coordinate graphing collection. Each task includes a blank grid and a separate answer graph.
Explore coordinate graphing worksheets →▥
read · draw · explain
Use the question to choose the operation
A graph may provide the numbers without providing the answer directly. Distinguish a read from a sum, difference, comparison or average. Keep units attached and round only when the prompt asks.
- Read the key and unitsDetermine the value of an interval, symbol or percentage before calculating.
- Select the right dataIdentify the named categories, series or observations, including the exact meaning of before and after.
- Explain and checkUse the separate key to compare values, reasoning and the completed graph.