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4, m, 5, 9, 3, n The arithmetic mean of the above sequence of numbers
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20 Apr 2022, 01:00
20 Apr 2022, 01:00
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4, m, 5, 9, 3, n
The arithmetic mean of the above sequence of numbers is 4. If m and n are non-negative integers and m > n, what is the median number in the list?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) Cannot be determined
The arithmetic mean of the above sequence of numbers is 4. If m and n are non-negative integers and m > n, what is the median number in the list?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) Cannot be determined
Part of the project: Skill Builder Project for a Q170
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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4, m, 5, 9, 3, n The arithmetic mean of the above sequence of numbers
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20 Apr 2022, 05:12
20 Apr 2022, 05:12
1
Carcass wrote:
4, m, 5, 9, 3, n
The arithmetic mean of the above sequence of numbers is 4. If m and n are non-negative integers and m > n, what is the median number in the list?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) Cannot be determined
The arithmetic mean of the above sequence of numbers is 4. If m and n are non-negative integers and m > n, what is the median number in the list?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) Cannot be determined
The arithmetic mean of the list of numbers above is 4.
So, (4 + m + 5 + 9 + 3 + n)/6 = 4
Multiply both sides by 6 to get: 4 + m + 5 + 9 + 3 + n = 24
Simplify: 21 + m + n = 24
Subtract 21 from both sides to get: m + n = 3
If m and n are non-negative integers and m > n, what is the median number in the list?
Since m + n = 3, there are only two possible cases:
Case i: n = 0 and m = 3, in which case our list becomes {4, 3, 5, 9, 3, 0 }
Median = 3.5.
Case ii: n = 1 and m = 2, in which case our list becomes {4, 2, 5, 9, 3, 1 }
Median = 3.5.
In both possible cases, the median equals 3.5
Answer: B
Re: 4, m, 5, 9, 3, n The arithmetic mean of the above sequence of numbers
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20 Apr 2022, 11:54
20 Apr 2022, 11:54
1
4 + m + 5 + 9 + 3 + n = 6*4 ------> m + n = 24 -21 ----> m + n = 3
Now, m > n and they both are non -ve, so m = 2 and n = 1
So, sequence will be 1 ,2 ,3, 4, 5 & 9.
Median = (3+4)/2 ---> 3.5
Hence ans is option B
Now, m > n and they both are non -ve, so m = 2 and n = 1
So, sequence will be 1 ,2 ,3, 4, 5 & 9.
Median = (3+4)/2 ---> 3.5
Hence ans is option B
