Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?
A. 71
B. 86
C. 91.5
D. 97
E. 397.5
OA B
Source: Princeton Review
Which of the following could be the median for a set of
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Since 20 < x < 80, we can see that, if we arrange the 5 numbers in ASCENDING order, we get two possible cases:BTGmoderatorDC wrote:Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?
A. 71
B. 86
C. 91.5
D. 97
E. 397.5
case a: {x, 56, 86, 97, 98}
case b: {56, x, 86, 97, 98}
In both cases, the median is 86
Answer: B
Cheers,
Brent
There are 2 scenarios for the given set of integers since \(20 < x < 80\).
1. \(20 < x < 56\), Arranging in ascending order, {x,56,86,97,98}, we have median \(= 86\).
2. \(56 \leq x < 80\), Arranging in ascending order, {56,x,86,97,98}, we have median \(= 86\).
Therefore, the correct option is __B__
1. \(20 < x < 56\), Arranging in ascending order, {x,56,86,97,98}, we have median \(= 86\).
2. \(56 \leq x < 80\), Arranging in ascending order, {56,x,86,97,98}, we have median \(= 86\).
Therefore, the correct option is __B__
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If 20 < x ≤ 56, then in ascending order, the list of numbers is:BTGmoderatorDC wrote:Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?
A. 71
B. 86
C. 91.5
D. 97
E. 397.5
OA B
Source: Princeton Review
x, 56, 86, 97, 98.
We see that the median is 86.
If 56 ≤ x < 80, then in ascending order, the list of numbers is:
56, x, 86, 97, 98.
We see that the median is 86.
Answer: B
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