The mean of six observations (x+6), (x-6), X,
(x+8), (x+12) and (x-2) is 26. Find the Observation
Answers
Answer:
X=28
Step-by-step explanation:
Mean=Sum of observations/No.Of observation
X-2+x+6+x-6+x+8+x+12/5=26(Mean)
=4x+18/5=26
4x+18=26×5
4x+18=130
4x=130-18
4x=112
Therefore: X=28
Given:
The mean of six observations (x+6), (x-6), X,
(x+8), (x+12) and (x-2) is 26
To Find:
The observation
Solution:
As we know that the mean
As we know that the mean = Sum of all observations/Total number of
As we know that the mean = Sum of all observations/Total number of observations
So,
According to the Question:
Mean = ((x+6)+(x-6)+X+(x+8)+(x+12)+(x-2))/6
= (6x+18)/6
=6(x+3)/6
=(x+3)
Now,
Mean = 26
So
x+3 = 26
x = 23
Then
observations are
(x+6) = 23+6
= 29
(x-6) = 23-6
= 17
X = 23
(x+8) = 23+8
= 31
(x+12) = 23+12
= 35
(x-2) = 23-2
= 21
Hence, the observations are 29,17,31,35,21,23