SAT Math Practice Question #210 (Medium (620)) | Test Citadel
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SAT Math Difficulty: Medium (620)

Digital SAT Math Practice Question #210

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

A list of 5 numbers has a mean (average) of 12. If a 6th number, \( n \), is added to the list, the new mean of the 6 numbers becomes 15. What is the value of \( n \)?
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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 quintessential SAT Statistics question! The key to unlocking almost *any* problem involving averages on the SAT is to focus on the SUM of the numbers, not the average itself. Step 1: Use the formula for mean. The formula is: \( \t...

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

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