SAT Math Practice Question #289 (Hard (755)) | Test Citadel
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SAT Math Difficulty: Hard (755)

Digital SAT Math Practice Question #289

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

A data set consists of 15 distinct integers. The median of the data set is 40, and the range is 50. If the highest and lowest integers are both removed to form a new data set of 13 integers, which of the following statements MUST be true? I. The median of the new data set is 40. II. The range of the new data set is strictly less than 50. III. The mean of the new data set is equal to the mean of the original data set.
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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)

Elimination Shortcut: Check the extremes or test answer choices starting with C to binary search the correct magnitude.

Masterclass Solution & Distractor Trap Analysis

This is a phenomenal conceptual statistics question. When the SAT says 'MUST be true', it means that if there is even one counterexample where a statement is false, you must eliminate it. Let's break down the original data set: 15 distinct ...

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

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