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 more→→Picture 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 Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Making 10 as an Addition Strategy → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts Through 10 → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Length Comparison → Measuring Length with Non-Standard Units → Measuring Length With a Ruler → Measuring with Feet and Meters → Estimating Lengths → Line Plots with Measurement Data → Organizing and Representing Data → Collecting and Displaying Categorical Data → Collecting and Organizing Data → Reading and Creating Picture Graphs

Longest path: 58 steps · 259 total prerequisite topics

Prerequisites (3)

Leads To (1)