harishsridharan wrote:
There are 11 distinct integers. The Sum of the lowest 6 integers is 35 and the sum of the greatest 6 integers is 125. The Sum of 11 integers is 142. What is the median of 11 integers?
\(a + b + c + d + e + f = 35\) ....... (1)
\(f + g + h + i + j + k = 125\) ....... (2)
Adding (1) and (2);
\(a + b + c + d + e + 2f + g + h + i + j + k = 160\)
We know, \(a + b + c + d + e + f + g + h + i + j + k = 142\)
\(f + 142 = 160\)
\(f = 18\)
_________________
I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, Indiahttps://www.instagram.com/prepster_education/