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The arithmetic mean of {6, 1, 11, x, 2} is x. The median o
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07 Aug 2020, 09:35
07 Aug 2020, 09:35
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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
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Updated on: 09 Aug 2020, 18:08
Updated on: 09 Aug 2020, 18:08
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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
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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
