SAT Math Practice Question #739 (Hard (800)) | Test Citadel
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SAT Math Difficulty: Hard (800)

Digital SAT Math Practice Question #739

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

A data set consists of 50 positive integers. The mean of this data set is \( m \), and the standard deviation is \( s \). A new data set is formed by multiplying each integer in the original data set by \( -3 \) and then adding \( 20 \) to each resulting value. Which of the following describes the mean and standard deviation of the new data set in terms of \( m \) and \( s \)?
Select Your Answer:
Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Check for special right triangles (\( 30^\circ-60^\circ-90^\circ \) or \( 45^\circ-45^\circ-90^\circ \)) or the complementary angle identity \( \sin(x) = \cos(90^\circ - x) \).

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 question tests a highly specific and frequently missed statistical rule regarding data transformations. Let's break down how linear transformations affect measures of center (mean) and measures of spread (standard deviation). 1. Measur...

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

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