A data set consists of five distinct positive integers. If each integer in the set is increased by 5, which of the following will be true?

A The mean will increase, and the standard deviation will remain the same.

B The mean will remain the same, and the standard deviation will increase.

C Both the mean and the standard deviation will increase.

D Both the mean and the standard deviation will remain the same.

✓ Correct Answer: Option A

Adding a constant value to every data point shifts the entire distribution. This increases the mean by that constant but does not change the spread of the data, so the standard deviation remains the same.

💡 Why is A) the correct answer?

The correct answer to the question "A data set consists of five distinct positive integers. If each integer in the set is increased by 5, which of the following will be true?" is Option A: The mean will increase, and the standard deviation will remain the same..

The other options — B) The mean will remain the same, and the standard deviation will increase., C) Both the mean and the standard deviation will increase., D) Both the mean and the standard deviation will remain the same. — are incorrect for this GRE Exam Prep question. As explained above: Adding a constant value to every data point shifts the entire distribution. This increases the mean by that constant but does not change the spread of the data, so the standard deviation remains the …

📚 About This GRE Exam Prep Practice Question

This 3-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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A data set consists of five distinct positive integers. If each integer in the set is increased by 5, which of the following will be true?

✓ Correct Answer: Option A

📚 About This GRE Exam Prep Practice Question

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