SAT Math Practice Question #649 (Hard (800)) | Test Citadel
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SAT Math Difficulty: Hard (800)

Digital SAT Math Practice Question #649

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

A dataset consists of 11 distinct positive integers. The median of the dataset is 20, and the arithmetic mean is 25. What is the maximum possible value of the largest integer in this dataset?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Break down the given equation or algebraic constraints step-by-step. Isolate the target variable before substituting known quantities.

Elimination Framework (Hint 2)

Desmos Tactical Shortcut: Type the function directly into Desmos. Tap the peak or trough of the curve to instantly reveal the extrema coordinates \( (h, k) \).

Masterclass Solution & Distractor Trap Analysis

This is a fantastic max-min optimization problem wrapped inside a statistics question. To solve it, you need strict control over the rules set by the prompt. Rule check: 1) 11 integers total. 2) "Distinct": No two numbers can be the same. 3...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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