Question

Question #f5be3

Answer 1

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