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Question

The mean of 6 observations is 17.5. If five of them are 14,9,23,25 and 10, find the sixth observation.

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Solution

Given the mean of 6 observations is 17.5

if five of them are 14,9,23,25 and 10

Let 'x' be the sixth observation

we know mean=sum of observationsno of observations

17.5=14+9+23+25+10+x6

17.5=81+x6

81+x=6×17.5=105

x=10581

x=24

sixth observation is 24

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