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Math, from the beginning

Statistics Literacy

Read studies, polls, and headlines without being fooled.

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What this covers

Every lesson is short enough to finish in one sitting and ends with questions that make you use what you just read.

  1. Mean vs MedianTwo middles, and when each one lies5 min
  2. Percentiles and SpreadWhere you sit in the lineup, and how wide the lineup is5 min
  3. Polls and Margin of ErrorWhat plus or minus 3 really promises6 min
  4. Correlation Is Not CausationWhy ice cream does not cause drowning5 min
  5. Absolute vs Relative RiskThe 'doubles your risk' trick5 min
Show all 14 lessonsShow fewer lessons
  1. Base RatesWhy an accurate test can still usually be wrong6 min
  2. Sample Size and Cherry-PickingSmall numbers swing wild, and someone picks the window5 min
  3. Misleading GraphsSame data, very different pictures5 min
  4. Regression and SurvivorshipTwo invisible forces that write fake success stories6 min
  5. How to Read a Study HeadlineA 60-second checklist for science news6 min
  6. P-Values and What They Do Not MeanThe most misreported number in science journalism8 min
  7. The Ladder of Study DesignsWhat each kind of study can and cannot establish8 min
  8. Communicating Risk So People Can Use ItNatural frequencies, and why percentages confuse everyone8 min
  9. Statistics Literacy Timed Simulation: Set A30 items, 30 minutes, exam mode30 min

A whole lesson, start to finish

Not a sample and not a summary. This is all of lesson 2, exactly as it reads in the app.

Lesson 2 of 14 · about 5 min

Percentiles and Spread

Where you sit in the lineup, and how wide the lineup is

A percentile is just your position in a lineup. Scoring in the 80th percentile means you did better than about 80 percent of the group. It says nothing about how many questions you got right.

Common mix-up

The 90th percentile is not a score of 90 percent. On a brutal exam you could answer 55 percent correctly and still land in the 90th percentile, because almost everyone else did worse.

The shape of the crowd

Pile all the values up and you get a distribution. Some look like a bell, with most people near the middle. Some are skewed, with a long tail of big values. Some have two humps, meaning two distinct groups where almost nobody is actually average.

Spread matters as much as the middle. Two cities can both average 60 degrees: one hovers between 55 and 65 all year, the other swings from 20 to 100. Same average, completely different wardrobe. Statisticians measure this with range and standard deviation, which is roughly the typical distance from the middle.

Same average, different lives

Whenever someone hands you an average, quietly ask: how spread out is it? An average without spread is half a story.

Now answer the question that follows it

This is one of 7 questions on that lesson. Pick an answer and it will tell you.

Your kid's height is in the 60th percentile for their age. What does that actually mean?

Terms you will own

Cards come back on a schedule built from how well you knew them last time, so the ones you keep missing show up more.

More in math, from the beginning

×%Mental Math EssentialsTimes tables, tips, and percentages: the tricks school skipped 1/2Fractions & DecimalsThe bridge most of us missed, finally explained $Money MathPaychecks, interest, deals, and tips without a calculator

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