Suppose \(a, b\) and \(c\) are three real numbers such that Max\((a, b, c) \ +\) Min\((a, b, c) = 15\), and Median\((a, b, c) \ -\) Mean\((a, b, c) = 2.\) Then the median of \(a, b\) and \(c\) is

Question and options

Suppose

a, b

and

c

are three real numbers such that Max

(a, b, c) \ +

Min

(a, b, c) = 15

, and Median

(a, b, c) \ -

Mean

(a, b, c) = 2.

Then the median of

a, b

and

c

Correct answer: B - 10.5

Mean = (max+min+median)/3 = (15+M)/3. M - (15+M)/3 = 2 gives 2M - 15 = 6, so M = 10.5.