Consider three numbers a, b and c Max(a,b,c)+Min(a,b,c)=13. Median (a,b,c)-Mean(a,b,c)=2. Find the median of a, b and c.

11.5

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9.5

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12.5

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Solution

The correct option is C 9.5
The numbers can be arranged in ascending order min $<$ median $<$ max

We have min + max =13

$M e a n = \frac{m i n + m e d + m a x}{3} = m e d i a n - \frac{12 + m e d}{3} = 2$

On solving we get median =9.5.

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