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Which of the following could be the median for a set of
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Updated on: 10 Jun 2021, 08:38
Updated on: 10 Jun 2021, 08:38
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64% (01:01) correct
36% (00:59) wrong based on 25 sessions
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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
A. 71
B. 86
C. 91.5
D. 97
E. 397.5
Drill 3
Question: 9
Page: 529
Question: 9
Page: 529
Re: Which of the following could be the median for a set of
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29 Dec 2017, 15:21
29 Dec 2017, 15:21
Expert Reply
Explanation
First place the known values from the question in order: 56, 86, 97, 98. From the restriction, you know that x can only be placed in two slots: first (before 56) and second
(between 56 and 86). In both cases, the middle number of the full set is 86, making choice B the only correct choice.
First place the known values from the question in order: 56, 86, 97, 98. From the restriction, you know that x can only be placed in two slots: first (before 56) and second
(between 56 and 86). In both cases, the middle number of the full set is 86, making choice B the only correct choice.
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Which of the following could be the median for a set of
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17 Jan 2020, 11:07
17 Jan 2020, 11:07
sandy 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
A. 71
B. 86
C. 91.5
D. 97
E. 397.5
Since the set {97, 98, 56, x, 86} has an odd number of values (5 values), the median will equal the middle value once all of the values have been listed in ascending order.
Let's first arrange the four given values in ascending order to get: {56, 86, 97, 98}
Since we are told that x < 80, we know that 86 MUST be the middle value.
For example, if x = 70, the set becomes {56, 70, 86, 97, 98}, in which case the median equals 86
Answer: B
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