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)
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PKN
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