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29 Apr 2020, 09:35
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D
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Difficulty:
25%
(medium)
Question Stats:
75% (01:45) correct
25%
(02:25)
wrong
based on 75
sessions
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Let the Set P be (10, 4, 7, 18) and Set Q be (x, 10, 4, 7, 18, 25).
If the median of Set Q is exactly 4 higher than the median of Set P, what is the value of x?
A. 10
B. 12
C. 13
D. 15
E. 16
If the median of Set Q is exactly 4 higher than the median of Set P, what is the value of x?
A. 10
B. 12
C. 13
D. 15
E. 16
29 Apr 2020, 13:06
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Answer: D
P={4,7,10,18}
Median of P (Mp) = 17/2 = 8.5
Let median of set Q be Mq
Mq=4+Mp
Mq=4+8.5
Mq=12.5
If 10<x<18,
Q={4,7,10,x,18,25}
Mq=(10+x)/2
(10+x)/2=12.5
x=15
Even if 7<x<10, same equation of median will form resulting in x=15 which fails the condition. In all other postions of x, value of x won't satisfy the median condition.
So x=15
Posted from my mobile device
P={4,7,10,18}
Median of P (Mp) = 17/2 = 8.5
Let median of set Q be Mq
Mq=4+Mp
Mq=4+8.5
Mq=12.5
If 10<x<18,
Q={4,7,10,x,18,25}
Mq=(10+x)/2
(10+x)/2=12.5
x=15
Even if 7<x<10, same equation of median will form resulting in x=15 which fails the condition. In all other postions of x, value of x won't satisfy the median condition.
So x=15
Posted from my mobile device
29 Apr 2020, 21:15
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First of all arrange elements of P and Q in ascending orders:
P (4, 7, 10, 18)
Q (4, 7, 10, 18, 25) and x can come anywhere in Q.
Median of P is (7+10)/2 or 8.5
Let's solve the possibility where x will come with 10 in the median equation:
Value of x is more/less than 10 then equation will be
(10+x)/2 = 8.5+4
x= 15
Answer is D
P (4, 7, 10, 18)
Q (4, 7, 10, 18, 25) and x can come anywhere in Q.
Median of P is (7+10)/2 or 8.5
Let's solve the possibility where x will come with 10 in the median equation:
Value of x is more/less than 10 then equation will be
(10+x)/2 = 8.5+4
x= 15
Answer is D
