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09 Jul 2018, 05:24
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (00:56) correct
18%
(01:10)
wrong
based on 119
sessions
History
Date
Time
Result
Not Attempted Yet
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
09 Jul 2018, 05:36
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Solution
Given:
- • A set of integers = {97, 98, 56, x, 86}
• 20 < x < 80
To find:
- • The median of the given set of integers
Approach and Working:
- • As there are 5 terms in the set, the median will be the 3rd term in the series, sorted in ascending or descending order
• Also, because 20 < x < 80, the least 2 terms will be always x and 56, in any order
• Hence, the mid-term = 3rd term = 86
Hence, the correct answer is option B.
Answer: B
09 Jul 2018, 20:49
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Bunuel
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
Ans. (B)
