Question #f5be3

1 Answer
Prajjwal S.
Feb 9, 2016

O = 4

Explanation:

Solution:

We have,
Average of m, n ,p = 12
i.e. #bar X# = 12
Then using the formula to calculate the average we have,
#(m+n+p)/3 = 12#
or #(m+n+p)/3 * 3 = 12 *3 # [Multiplying both sides by 3 ]
or #m+n+p = 36 #

Now,
For the mean of m, n , o ,p
We have
#bar X_1 = 10#
So,
#bar X_1 = (m+n+ o +p)/4#
or #10 = (m+n+ p)/4 + (o)/4 #
From above We have m+n+p = 36
Putting its value we get
#10 = 36/4 + (o)/4 #
#10 = 9 + (o)/4 #
#10 -9= 9- 9 + (o)/4 # [ Subtracting both sides by 9]
#1 = o/4#
#1*4 = o/4*4 # [Multiplying both sides by 4]
#o=4#
Thus,
O = 4

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