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MathProblem-Solving & Data Analysis
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Data Analysis questions test careful reading as much as computation. Titles, axes, units, legends, scales, and comparison groups determine what a displayed value means and what conclusions are justified.

Essential concepts

Relative change
\[ ext{relative change}= rac{ ext{new}- ext{old}}{ ext{old}}\]

Multiply by 100% when the question requests a percent change.

SAT strategy and application

Worked example

Calculate change from displayed values

A chart shows that monthly ridership increased from 120 thousand to 150 thousand. What was the percent increase?

  1. Find the change

    \(150-120=30\) thousand.

  2. Divide by the original

    \(30/120=0.25\).

Percent increase: 25%.

Mistakes and traps

Mini check

Check your understanding

A survey response rate rises from 40% to 46%. By how many percentage points did it rise?

  1. 6
  2. 15
  3. 40
  4. 46
Show answer and explanation

Answer: 6 percentage points

Percentage-point change is the direct difference: 46 − 40 = 6.

Key takeaways

Key takeaways

What to remember

  • Read titles, axes, units, legends, and scales before calculating.
  • Identify the exact groups and values the question compares.
  • Separate percentage points from relative percent change.
  • Do not infer causation from association alone.
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Put these notes into practice

Apply the ideas with SAT-style questions, then reinforce key details with flashcards.