GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The arithmetic mean of {6, 1, 11, x, 2} is x. The median o
[#permalink]
07 Aug 2020, 09:35
07 Aug 2020, 09:35
Expert Reply
00:00
Question Stats:
65% (01:07) correct
34% (01:13) wrong based on 79 sessions
Hide Show timer Statistics
The arithmetic mean of {6, 1, 11, x, 2} is x. The median of {2, y, 11, 1, 5} is y.
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
Kudos for the right solution and explanation
Quantity A |
Quantity B |
x |
y |
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
Kudos for the right solution and explanation
Re: The arithmetic mean of {6, 1, 11, x, 2} is x. The median o
[#permalink]
Updated on: 09 Aug 2020, 18:08
Updated on: 09 Aug 2020, 18:08
1
1
Bookmarks
Carcass wrote:
The arithmetic mean of {6, 1, 11, x, 2} is x. The median of {2, y, 11, 1, 5} is y.
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
Kudos for the right solution and explanation
Quantity A |
Quantity B |
x |
y |
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
Kudos for the right solution and explanation
Quantity A can be used to create the equation (6+1+11+x+2)/5 = x, where we can solve for x => x=5. To find the median of the second set, we must first put the terms in order. We know y is the median, so we can write it as {1,2,y,5,11}. y could be 2,3,4,5, or a number between them (since the prompt never says x is an integer), which will yield different answers to the problem. Therefore the correct answer is D.
Re: The arithmetic mean of {6, 1, 11, x, 2} is x. The median o
[#permalink]
08 Aug 2020, 07:24
08 Aug 2020, 07:24
1
{6,1,11,x,2} set A
Avg. of set A = (6 + 1 + 11 + 2 + x)/5 = x
Solve to get x = 5
{2,y,11,1,5} set B
median : {1,2,y,5,11}
Thus y can 2,3,4,5. Since y can be 5 and x is 5.
Answer: D
Avg. of set A = (6 + 1 + 11 + 2 + x)/5 = x
Solve to get x = 5
{2,y,11,1,5} set B
median : {1,2,y,5,11}
Thus y can 2,3,4,5. Since y can be 5 and x is 5.
Answer: D
