EgmatQuantExpert wrote:

Solve any Median and Range question in a minute- Exercise Question #3A set of 51 different integers has a median of 30 and a range of 60. What is the value of the least possible integer in this set?

Options a) -10

b) -6

c) -5

d) 5

e) 10

To read the article: Solve any Median and Range question in a minute Given set, Say

X={\(x_{min}\),.....(25 members including \(x_{min}\))......,

30,.......(25 members including \(x_{max}\)).....,\(x_{max}\)}

---------------------------------------------------(26th term

Median) --------------------------------- \((51^{th} term)\)

Given, \(x_{max} - x_{min}=60\) ----(1)

Since number of members after median is 25, hence x(max)=30+25=55 (Note:- all terms of the set are different as given)

So, substituting in (1), we have

\(55-x_{min}=60\)

Or, \(x_{min}=-5\)

Therefore, the value of the least possible integer in this set is -5.

Ans. (C)

_________________

Regards,

PKN

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