Question

If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11. Find the value of x.​

Answer 1

To Find⇒

→Value of x in given data.

Given⇒

→the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11.

Formula to find mean⇒

      →${\huge{\mathtt{\violet{\frac{Sum\:of\:of\:Observations}{Total \:no. \:of \:observations}}}}$

→  ${\huge{\mathtt{\orangered{\frac{x + x + 2 + x + 4 + x + 6 + x + 8}{5}}}}=11$

→ 5x + 20 =  55

→ 5x = 35

→  ${\huge{\red{\mathcal{\boxed{x=7}}}}}$

∴ The value of x is 7.