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Problem Solving Traps

Statistics, data interpretation, and logic. Conquer the most confusing section.

Difficulty: ★★★★★

The Standard Deviation Deception

Set A: {10, 20, 30, 40, 50}
Set B: {10, 11, 30, 49, 50}
Which set has a higher SD?

🚩 The Trap

Trying to calculate standard deviation using the real formula. You’ll run out of time.

✅ The Practix Shortcut

SD = Spread. Set B's numbers are further from the mean (30). More spread = Higher SD.

Answer: Set B.

Difficulty: ★★★★☆

The Range Ruse

If the maximum value of a box plot increases by 100, which value MUST change?

🚩 The Trap

Thinking the median or IQR shifts. The box is shielded from outliers.

✅ The Practix Shortcut

Only the Range is guaranteed to change because it is (Max - Min).

Answer: Range.