If the mean of 6 observations x,x+2,x+4,x+6,x+8,x+10 is 10, find the value of x.
Answer:
5
- We know, Mean =Sum of observationsNumber of observations
- Thus, mean of the given observations =x+x+2+x+4+x+6+x+8+x+106=6x+306 But we are given that the mean is 10. ∴ 6x+306=10⟹6x+30=60⟹6x=30⟹x=5
- Hence, the value of x is 5.