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SAT Math Problem Solving and Data Analysis Medium Practice Question

Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake

Shortcut used: Use mean to find the required total first.

Solve in 3 steps:

List the given numbers and units.
Choose the formula that matches the asked value.
Simplify carefully and compare with options.

Common mistake: Do not use a reasoning pattern shortcut in a quantitative question.

Question 2 Multiple Choice Question

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Question

The numbers 12, 14, 18, and x have a mean of 17. What is the value of x?

Explanation

Correct Answer: C

ANSWER

Correct Answer: C

Method / Topic: Problem Solving and Data Analysis

The total must be 4 × 17 = 68. Since 12 + 14 + 18 = 44, x = 24.

Why this answer is correct

The answer follows from the arithmetic relation between the given values.

Short Explanation

The total must be 4 × 17 = 68. Since 12 + 14 + 18 = 44, x = 24.

Detailed Explanation

Question

The numbers 12, 14, 18, and x have a mean of 17. What is the value of x?

ANSWER

Correct Answer: C

Method / Topic: Problem Solving and Data Analysis

Mean equals total divided by number of values. Four values with mean 17 have total 68. The known values total 44, so x = 68 - 44 = 24.

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Question 2

Medium Marks: 1.0 Practice Question

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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake

Shortcut used: Use mean to find the required total first.

Solve in 3 steps:

List the given numbers and units.
Choose the formula that matches the asked value.
Simplify carefully and compare with options.

Common mistake: Do not use a reasoning pattern shortcut in a quantitative question.

Question

The numbers 12, 14, 18, and x have a mean of 17. What is the value of x?

Explanation

Correct Answer: C

ANSWER

Correct Answer: C

Method / Topic: Problem Solving and Data Analysis

The total must be 4 × 17 = 68. Since 12 + 14 + 18 = 44, x = 24.

Why this answer is correct

The answer follows from the arithmetic relation between the given values.

Short Explanation

The total must be 4 × 17 = 68. Since 12 + 14 + 18 = 44, x = 24.

Detailed Explanation

Question

The numbers 12, 14, 18, and x have a mean of 17. What is the value of x?

ANSWER

Correct Answer: C

Method / Topic: Problem Solving and Data Analysis

Mean equals total divided by number of values. Four values with mean 17 have total 68. The known values total 44, so x = 68 - 44 = 24.

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