Data Analysis
Reading bar, line, pie, dot, and scatter plots, and spotting misleading graphs.
This page is a free outline of what the Data Analysis lesson covers — it is not the lesson itself. The interactive lesson, practice, quizzes, and AI Tutor are inside the app.
This lesson covers
- Average Rate of Change The average rate of change is how much the output changes per unit of input between two points — the same as the slope of the line connecting them: (change in y) ÷ (change in x).
- Bar Graphs and Histograms A bar graph compares separate categories with bars whose heights show their values; a histogram looks similar but groups a range of numbers into intervals to show how data is distributed.
- Choosing the Right Statistical Measure (Mean, Median, Mode, Range) Which measure fits depends on the data: the mean for evenly spread values, the median when outliers would skew it, the mode for the most common value, and the range for spread.
- Circle Graphs (Pie Charts) A pie chart shows how a whole is divided into parts, each slice a percentage of the total — the full circle is 100%.
- Dot Plots A dot plot stacks a dot for each data value above a number line, so you can see how often each value occurs and how the data clusters.
- Line Graphs and Trends A line graph connects points over time to show how a value rises or falls, making trends and changes easy to spot.
- Making Predictions from Data Making predictions from data uses the pattern in a graph or table — like a line of best fit — to estimate values beyond what was measured.
- Mean (Average)
- Weighted Average A weighted average counts some values more than others by their frequency or weight — like a grade where tests count more than quizzes — found by multiplying each value by its weight, adding, then dividing by the total weight.
- Median
- Misleading Graphs A misleading graph distorts the data — a cut-off axis, uneven scale, or stretched shape — to make a difference look bigger or smaller than it really is.
- Mode
- Percent – Finding a Percent of a Number
- Percent – Increase and Decrease
- Percent – Word Problems Percent questions in sentence form — find the part, the whole, and the percent.
- Range (Statistics) The range is the difference between the largest and smallest values (max − min). It measures how spread out the data is, not its center.
- Reading Data Tables A data table organizes values in labeled rows and columns; reading it means finding the cell where the row and column you need meet.
- Scatter Plots and Correlation A scatter plot plots paired values as points to reveal a relationship: an upward pattern is positive correlation, downward is negative, and a scattered cloud means little or no correlation.
Linked concepts (purple →) have a full explanation. Hover or tap a dotted ⓘ concept for a quick definition.
Inside the app, Data Analysis comes with:
Read the explanation here for free — then practice it for real, with everything you need in one place.
24/7 AI Tutor — Ask anything and get a step-by-step explanation when you’re stuck — it teaches the concept, not just the answer. Every answer verified by three independent AIs.
- Practice sets — Open-book practice questions at your level, easiest-first — as many as you want, never scored.
- Quizzes — Scored quizzes on the whole lesson, so you know when you’re ready to move on.
- Skills Check — A concept-by-concept map of what you’ve mastered and what to focus on next.
- Worked examples — Tap the Brain Button on any example for alternative step-by-step explanations.
- Glossary — Plain-English definitions of every key term in the lesson.
- Formula sheet — The GED® & HiSET® formula sheets, on screen while you practice.
- Practice calculator — An on-screen calculator to build your calculator skills before test day.
- Math-fact flashcards — Quick drills for addition, multiplication, perfect squares, and square roots.
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