Q. 145.0( 5 Votes )

The mean of 11 numbers is 42. If the mean of the first 6 numbers is 37 and that of the last 6 numbers is 46, find the 6th number.

Answer :

Given,


Mean of 11 number = 42


So, Sum of numbers = 11 × 42 = 462.


Mean of first 6 numbers = 37.


Hence, sum of first six numbers = 6 × 37 = 222.


Mean of last 6 numbers = 46


Sum of last 6 numbers = 6 × 46 = 276.


So,


The 6th number = (sum of first 6 numbers and last 6 numbers) – (Sum of 11 numbers)


= (222 + 276) – 462 = 498 – 462 = 36.


The 6th number is 36.


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