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15 Jan 2020, 02:33
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E
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Difficulty:
25%
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Question Stats:
74% (01:00) correct
26%
(00:59)
wrong
based on 42
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What is the median of the set {w, x, y, z}?
(1) The average (arithmetic mean) of w and x is 110.
(2) The average (arithmetic mean) of y and z is 108.
(1) The average (arithmetic mean) of w and x is 110.
(2) The average (arithmetic mean) of y and z is 108.
15 Jan 2020, 02:44
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Bunuel
What is the median of the set {w, x, y, z}?
(1) The average (arithmetic mean) of w and x is 110.
(2) The average (arithmetic mean) of y and z is 108.
(1) The average (arithmetic mean) of w and x is 110.
(2) The average (arithmetic mean) of y and z is 108.
Question: What is the median of the set {w, x, y, z}?
Statement 1: The average (arithmetic mean) of w and x is 110.
The median of set {w, x, y, z} will be the average of second and third term in the set after arranging the terms in ascending order
Neither do we know the order of the terms nor do we know the values of 2nd ann third terms hence
CLUE: (if w and x were the middle two terms then this statement would have been sufficient)
NOT SUFFICIENT
Statement 2: The average (arithmetic mean) of y and z is 108
The median of set {w, x, y, z} will be the average of the second and third term in the set after arranging the terms in ascending order
Neither do we know the order of the terms nor do we know the values of 2nd ann third terms hence
CLUE: (if y and z were the middle two terms then this statement would have been sufficient)
NOT SUFFICIENT
Combining the two statements
Case 1: w = 110, x = 110, y = 108, z = 108 i.e. Median = (108+110)/2 = 109
Case 2: w = 110, x = 110, y = 100, z = 116 i.e. Median = (110+110)/2 = 110
i.e. there is no UNIQUE value of Median hence
NOT SUFFICIENT
Answer: Option E
15 Jan 2020, 02:56
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for any evenly spaced set , the mean of the set is equal to median .. for this question we need to determine values of w,x,y,z
#1
The average (arithmetic mean) of w and x is 110.
w+x=220
but yz not know
#2
The average (arithmetic mean) of y and z is 108
y+z = 236
wx not know
from 1 &2
w,x,y,z can be 108,108,110,110 or can be sum of various possible no
so median value would vary always
IMO E
#1
The average (arithmetic mean) of w and x is 110.
w+x=220
but yz not know
#2
The average (arithmetic mean) of y and z is 108
y+z = 236
wx not know
from 1 &2
w,x,y,z can be 108,108,110,110 or can be sum of various possible no
so median value would vary always
IMO E
Bunuel
What is the median of the set {w, x, y, z}?
(1) The average (arithmetic mean) of w and x is 110.
(2) The average (arithmetic mean) of y and z is 108.
(1) The average (arithmetic mean) of w and x is 110.
(2) The average (arithmetic mean) of y and z is 108.
