The mean of 5 observations is 10. If mean of first three observations and that of last three is 11 , find third observation.
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SOLUTION:
Formula used:
Mean = sum of all observation/total number of observation
Let the observations be a,b,c,d and e.
So, ATQ, we have
(a+b+c+d+e)/5 = 10
So, (a+b+c+d+e) = 50....(1)
Also, [(a+b+c)+(c+d+e)]/6 = 11
(a+b+2c+d+e) = 66...(2)
(2) - (1), we get..
(a+b+2c+d+e) - (a+b+c+d+e) = 66-50
c = 16.
So, the third observation is 16.
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