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The mean of 5 observations is 12. If the mean of the first 3 observations is 10, then find the mean of the other two.


Options:
A .   10
B .   12
C .   12.5
D .   15
Answer: Option D
:
D

Let, the observations be a, b, c, d, e.
We know that,
Mean = Sum of all observationsNumber of observations
Now,
mean of 5 observations = 12
a+b+c+d+e5=12 
a+b+c+d+e=60.....(i) 
It is also given that the mean of the first three observations is 10
a+b+c3=10
 a+b+c=30...........(ii)
From (i) and (ii) we get
d + e = 30
Hence, the mean of the other two observations i.e. 'd' and 'e' is
=d+e2=15



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