If first 6 results average is 49 & last 6 result average is 52

The average of 11 results is 50. If first 6 results average is 49 & last 6 result average is 52, then find the 6th
(a) 49
(b) 56
(c) 50
(d) 312

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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1 Answer(s)

Answer: (b) 56

Solution:-
Average of 11 results = 50
so total sum of 11 numbers = 550
Let 6th number is X,
So,  according to the given condition
sum of first 5 numbers = 49 x 6 – x = 294 – X
sum of last 5 numbers = 52 x6 – x = 312 – X
so 6th number x = 550 – (294 – X) – (312 – X) = 2 X- 56
so X = 2 X- 56 implies X = 56

Hence, the correct answer is option (b) 56.

Anurag Mishra Professor Answered on 4th March 2016.
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