A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Reading and Creating Picture Graphs

Elementary Depth 57 in the knowledge graph I know this Set as goal
4topics build on this
259prerequisites beneath it
See this on the map →
Picture GraphsCollecting and Organizing Data+1 morePicture Graphs with Scales
graphs picture-graphs data

Core Idea

A picture graph uses symbols to show data. Each symbol may represent 1 or more items (key shows the value). To read, count the symbols in each row; to create, decide on a symbol and draw rows to show data.

Explainer

You already know that a picture graph uses symbols to represent data. Now you're working with something more powerful: a key that says each symbol stands for more than one item. Instead of drawing 14 stars for 14 votes, you could draw 7 stars and write "each ★ = 2 votes." The graph takes less space and is easier to scan — and the key gives readers what they need to recover the exact numbers.

Reading such a graph requires two steps: count the symbols in a row, then multiply by the key value. If the "cats" row has 5 paw prints and the key says each paw print = 3 students, then 5 × 3 = 15 students chose cats. If a row has 4 symbols and each symbol = 10, then 4 × 10 = 40. You're reversing the compression that was applied when the graph was made. This multiplication step is small but important — skipping it and just reporting the symbol count is one of the most common errors when reading picture graphs with scaled keys.

Creating a picture graph adds a decision you don't face when just reading one: what should the key value be? A good key keeps the number of symbols manageable — ideally between 2 and 10 per row — so the graph is readable at a glance. If the largest data value is 30, a key of "each symbol = 5" gives at most 6 symbols per row (clean and clear). A key of "each symbol = 1" would produce rows of 30 symbols (cluttered and hard to count). Choosing the right scale is a real design decision, and it's your first encounter with a skill that recurs throughout data work: representing information efficiently without losing accuracy.

When comparing rows, look for the row with the most symbols (most popular) and least symbols (least popular). You can also find differences: if one row has 6 symbols and another has 4, and the key is ×2, then one category has 12 and the other has 8 — a difference of 4. Always apply the key before comparing numbers, not after.

Practice Questions 5 questions

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Making 10 as an Addition StrategyAddition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts Through 10Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersLength ComparisonMeasuring Length with Non-Standard UnitsMeasuring Length With a RulerMeasuring with Feet and MetersEstimating LengthsLine Plots with Measurement DataOrganizing and Representing DataCollecting and Displaying Categorical DataCollecting and Organizing DataReading and Creating Picture Graphs

Longest path: 58 steps · 259 total prerequisite topics

Prerequisites (3)

Leads To (1)