if the mean of five observations x,x+2,x+4,x+6and x+8 is 13 . find the value of x
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Answered by
4
Hi..
mean = total sum of observations/ total no. of observations
![13 = \frac{ x + x + 2 + x + 4 + x + 6 + x + 8}{5} 13 = \frac{ x + x + 2 + x + 4 + x + 6 + x + 8}{5}](https://tex.z-dn.net/?f=13+%3D+%5Cfrac%7B+x+%2B+x+%2B+2+%2B+x+%2B+4+%2B+x+%2B+6+%2B+x+%2B+8%7D%7B5%7D+)
![65 = 5x + 20 65 = 5x + 20](https://tex.z-dn.net/?f=65+%3D+5x+%2B+20)
![65 - 20 = 5x 65 - 20 = 5x](https://tex.z-dn.net/?f=65+-+20+%3D+5x)
![45 = 5x 45 = 5x](https://tex.z-dn.net/?f=45+%3D+5x)
![x = \frac{45}{5} x = \frac{45}{5}](https://tex.z-dn.net/?f=x+%3D+%5Cfrac%7B45%7D%7B5%7D+)
![\bold{ \boxed{x = 9}} \bold{ \boxed{x = 9}}](https://tex.z-dn.net/?f=+%5Cbold%7B+%5Cboxed%7Bx+%3D+9%7D%7D)
#THANKS
mean = total sum of observations/ total no. of observations
#THANKS
Answered by
3
Answer:
Step-by-step explanation:
Mean = 13
No of observations / Total no. of observations = 13
(x+x+2+x+4+x+6+x+8)/5 = 13
5x + 20 = 13 × 5
5x + 20 = 65
5x = 65 - 20 = 45
x = 45/5
x = 9
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