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Re: Which of the following could be the median for a set of integers {97,
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09 Jul 2018, 05:36

1

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

WE: Supply Chain Management (Energy and Utilities)

Which of the following could be the median for a set of integers {97,
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09 Jul 2018, 20:49

Bunuel 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

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)
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