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Week 08 Β· Charts That Mislead

Monday

Comet's poster
// How a true number can tell a false story
⏱ about 20 min

Monday: Comet's Poster

Comet unrolls a huge, bright poster across the workbench. Orange bars shoot up the page.

"Look at longer evening hours," she says proudly. "It towers over the bike rack. Nine times taller!"

Wren tilts his head. "The table says 13 and 5. That is not nine times."

"What do you notice about where your y-axis starts?" he asks.

Comet looks down. The first number on her axis is 4, not 0. "I wanted the bars to fit the poster," she says.

Nova hovers above the poster and projects a faint ruler beside each bar. "Would you like a hint?" she asks.

"Count the steps in each bar. Then compare those steps with the numbers in the table."

Comet laughs. "My first draft is a puzzle. Let's solve it."

This week's driving question

How can a true number tell a false story?

This week you will find what makes a chart mislead, redraw it honestly and check claims against the whole data.

Measure the bars

On a bar graph, the y-axis usually starts counting at 0 and is split into equal parts.

Comet's y-axis starts at 4. So each bar shows only the part of its number above 4.

The longer evening hours bar shows 13 minus 4, which is 9 steps. The bike rack bar shows 5 minus 4, which is 1 step.

Q3 answerMembersSteps on Comet's poster (from 4)Steps on an honest graph (from 0)
Longer evening hours13913
Quiet study room11711
Repair bench959
Bike rack515

Made-up data from the Commons Count story.

COMPARE THE BARS
  • Read the question.
  • Tap your answer.
On Comet's poster, the longer evening hours bar is how many times as tall as the bike rack bar?
In the real numbers, 13 is how many times 5?
On Comet's poster, how many steps tall is the quiet study room bar?
What one change makes the bars match the numbers again?
StatementTrue or false?
Comet's numbers were wrong.?
Comet's bars did not match the size of her numbers.?
On a bar graph, the y-axis usually starts at 0.?
A chart can use true numbers and still give a false picture.?
WHY THIS EXERCISESeeing that true numbers can still mislead is the key idea of this week.
Comet's y-axis started at 4. An honest bar graph's y-axis usually starts at ____. Type the number as a word.
WHY THIS EXERCISEStarting at zero lets each bar show its whole number.
CHECK A BAR GRAPH IN THIS ORDER
  • ?Read the title and the source line.
  • ?Check that the steps on the y-axis are equal.
  • ?Count the steps in the tallest and shortest bars.
  • ?Find the number where the y-axis starts.
  • ?Compare those steps with the real numbers.
WHY THIS EXERCISEThis checklist catches the most common way a bar graph misleads.
On paper, sketch two small Q3 bar graphs side by side. Start one y-axis at 4 and the other at 0.

Great detective work, data analyst. Tomorrow you will find more ways a chart can go wrong.