GRE Exam > GRE Questions > Directions: Compare Quantity A and Quantity ...
Start Learning for Free
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. S is a set of 8 numbers, of which 4 are negative and 4 are
positive.
Quantity A - The average (arithmetic mean) of the numbers in S
Quantity B - The median of the numbers in S.
- a)Quantity A is greater.
- b)Quantity B is greater.
- c)The two quantities are equal.
- d)The relationship cannot be determined from the information given.
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Explanation:
Meaning of Median and Mean:
- The median of a set of numbers is the middle value when the numbers are arranged in ascending order.
- The mean of a set of numbers is the average value, calculated by summing all the numbers and dividing by the total count.
Given Information:
- In set S, there are 8 numbers, with 4 negative and 4 positive numbers.
Explanation:
- Since the set S has an equal number of negative and positive numbers, the median will be the average of the two middle numbers when arranged in ascending order.
- The average value of the set S will be the sum of all numbers divided by 8.
Comparison:
- Since we do not have specific numbers in the set S, we cannot determine the exact values of the median and mean.
- Without knowing the specific values of the numbers in set S, we cannot compare Quantity A (mean) and Quantity B (median).
- Therefore, the relationship between Quantity A and Quantity B cannot be determined from the information given.
Therefore, the correct answer is option 'D' - The relationship cannot be determined from the information given.
Meaning of Median and Mean:
- The median of a set of numbers is the middle value when the numbers are arranged in ascending order.
- The mean of a set of numbers is the average value, calculated by summing all the numbers and dividing by the total count.
Given Information:
- In set S, there are 8 numbers, with 4 negative and 4 positive numbers.
Explanation:
- Since the set S has an equal number of negative and positive numbers, the median will be the average of the two middle numbers when arranged in ascending order.
- The average value of the set S will be the sum of all numbers divided by 8.
Comparison:
- Since we do not have specific numbers in the set S, we cannot determine the exact values of the median and mean.
- Without knowing the specific values of the numbers in set S, we cannot compare Quantity A (mean) and Quantity B (median).
- Therefore, the relationship between Quantity A and Quantity B cannot be determined from the information given.
Therefore, the correct answer is option 'D' - The relationship cannot be determined from the information given.
Free Test
FREE
| Start Free Test |
Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
In the question, the only information you are given about the 8 numbers in set S is that 4 are negative and 4 are positive. Sets with 4 negative and 4 positive numbers can vary greatly, so it is likely that the relationship between Quantity A, the average of the numbers in S, and Quantity B, the median of the numbers in S, cannot be determined from the information given. To explore this by trial and error, consider some different sets with 4 negative and 4 positive numbers. Here are some examples.
Example 1: {−4, −3, −2, −1, 1, 2, 3, 4}. In this case, the average of the numbers in the set is 0, and the median is also 0, so Quantity A is equal to Quantity B.
Example 2: {−100, −3, −2, −1, 1, 2, 3, 4}. In this case, the median of the numbers is 0, but the average of the numbers is less than 0, so Quantity B is greater than Quantity A.
Example 3: {−4, −3, −2, −1, 1, 2, 3, 100}. In this case, the median of the numbers is 0, but the average of the numbers is greater than 0, so Quantity A is greater than Quantity B.
From the three examples, you can see that the correct answer is Choice D.
Attention GRE Students!
To make sure you are not studying endlessly, EduRev has designed GRE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GRE.
|
Explore Courses for GRE exam
|
|
Top Courses for GREView all
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer?
Question Description
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer?.
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
Download more important topics, notes, lectures and mock test series for GRE Exam by signing up for free.
Here you can find the meaning of Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S is a set of 8 numbers, of which 4 are negative and 4 arepositive.Quantity A - The average (arithmetic mean) of the numbers in SQuantity B - The median of the numbers in S.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GRE tests.
|
|
Explore Courses for GRE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup