Question

the mean of the 31 result is 60 if the mean of first 16 result is 58 and the of the last 16 result is 62 find the 16th result
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Answer 1

let the total sum of all results be x
now, 60=x/31
x=60×31=1860.
mean of 1st 16 result=58
total sum of 1st 16 results=58×16=928
similarly,total sum of last 16 result=62×16=992
16th number=(928+992-1860)÷2 [since the 16th number is counted twice ]
=60÷2
=30
hence 16th number is 30