Unit 5 · Data · Lesson 5.8 · Lab 5.8

Visualization

A chart can make a pattern obvious in one second — or make a tiny difference look enormous using nothing but true numbers. Today: which chart for which question, and how to catch the lie.

Big Idea 2 — DataCED 2.3 · Lab 5.8 · 10 pts

Before this lesson

No reading — this page is the reading. Your teacher hands out the Lab 5.8 spec today; the chart builder below is how you’ll check your thinking before Part 4.

1

Where We Are

People→ Bits→ Programs→ Internet→ Security→ Big Data→ Impact

Big Data. You can clean, filter, and group. Now: how to show an answer so a person gets it in one look — and how a chart can mislead without containing a single false number.

2

The Hook

Find the biggest number. Go.

Same twelve numbers. One way took you several seconds of reading; the other took one glance. That’s what a visualization is for.

3

The Idea

A visualization turns numbers into a picture. The question decides the chart:

If the question is about…UseExample
comparing amounts across categoriesbar chartmembers per club
change over timeline chartcheckouts per month
a relationship between two numeric variablesscatter plotpractice hours vs free-throw %

Every chart has axes, and every axis has a scale — where it starts, where it ends, and how far apart the marks are. The scale is where charts lie.

Accurate is not the same as honest. Accurate: the numbers plotted are correct. Honest: the picture gives the right impression of how big the differences are. A bar chart whose y-axis starts above zero can be perfectly accurate and badly dishonest.
4

Try It — The Chart Builder

Pick a dataset, then a chart type. Read the note: does the chart fit the question? Then flip Mislead me and watch the same numbers tell a different story.

data:
chart: y-axis:

Lab 5.8 — Charts That Tell the Truth (and Ones That Don’t)

Clean the club data (Part 1), show that cleaning changes the answer (Part 2), group by grade and make a bar chart (Part 3), then make the same numbers lie (Part 4). A spreadsheet is fine for the charts — the choice and the axis are the point, not the tool.

5

Vocabulary

visualization Big Data
A chart, graph, or other picture of data that makes patterns easier to see.
axis Big Data
A reference line on a chart (horizontal x-axis, vertical y-axis) showing what is measured and in what units.
scale Big Data
The range and spacing of values on an axis. Starting the y-axis above zero exaggerates differences.
6

Check

Five questions. Name the question first; the chart follows.

0 of 5 answered
7

Impact Check

A misleading chart is usually made of true numbers

That’s what makes it effective. Nobody can call it a lie — every value is correct. Ads, campaign flyers, and news graphics use truncated axes, cherry-picked date ranges, and stretched scales because they work. The defense is a habit: read the axis before you read the bars.

8

Connections

Came from 5.7 — grouped counts and averages are exactly what bar charts show.
Came from Unit 1 — abstraction: a chart is a lens on the same data — and a lens can distort.
Next in 5.9 — a scatter plot shows two things moving together. Does that mean one causes the other?
Returns in Mini-Project 4 — one chart, y-axis at zero unless you explain why not.
← 5.7 Filtering and Grouping