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Content-Specific Cheat Sheets

SAT Statistics: Standard Deviation, Margin of Error & Box Plots

Conceptual statistics rules for Problem-Solving and Data Analysis.

Direct Answer

The 3 golden rules for SAT statistics: 1. Standard Deviation: Measures data spread. More spread-out data = larger standard deviation (you never calculate it by hand). 2. Margin of Error: Inversely proportional to sample size (larger sample size = smaller margin of error). 3. Box Plots: The line inside the box is the Median; the box represents the middle 50% (IQR = Q3 - Q1).

SAT statistics questions are 100% conceptual. You never need complex statistical formulas — just understanding what larger/smaller values mean.

Step-by-Step Breakdown & Rules

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1. Standard Deviation Spread Rule

A dataset where values cluster tightly around the mean has a lower standard deviation than one with values far from the mean.

2

2. Margin of Error Sample Size Rule

Increasing sample size shrinks the margin of error; increasing population variability increases margin of error.

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3. Mean vs Median with Outliers

Outliers pull the Mean toward them; the Median is resistant to extreme outliers.

Key Takeaways & Pro Tips

If given two histograms and asked which has a greater standard deviation, pick the one with data distributed further towards the outer extremes.

Frequently asked questions

Do you calculate standard deviation on the SAT?

No. SAT standard deviation questions strictly test visual comparison of spread across datasets.

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