Question

the mean of 5 observqtions X,X+2,X+4.X+6 and X+8 is 11 find the value of x​

Answer 1

Answer:

Step-by-step explanation:

In the file

Answer 2

$\huge{\underline{\purple{\rm{Solution:}}}}$

$\small{\underline{\green{\rm{Given:}}}}$

• $\sf{The\: mean\:of\:5\: observation\:are}$
• $\rm{x,\:x+2,\:x+4,\:x+6,\:x+8}$
• $\sf{The\: mean\:of\:5\: observation=11}$

$\small{\underline{\orange{\rm{To\: Find:}}}}$

• $\sf{The\: value\:of\:x=?}$

$\small{\underline{\purple{\rm{According\:to\: above\: information:}}}}$

$\sf\large{Formula\: used}$

$\rm{\implies mean=\dfrac{Sum\:of\: total\: Number\:of\: observation}{Total\: Number\:of\: observation}}$

$\rm{\implies \dfrac{x+x+2+x+4+x+6+x+8}{5}=11}$

$\rm{\implies \dfrac{6x+20}{5}=11}$

$\rm{\implies 5x+20=55}$

$\rm{\implies 5x=55-20}$

$\rm\bold{\implies \cancel{5}x=\cancel{35}}$

$\rm\red{\implies x=7}$

Hence,

$\sf\green{\implies The\: value\:of\:x=7}$

$\large{\underline{\purple{\rm{Verification:}}}}$

• $\rm{putting\:the\: value\:x=7\: here,}$

$\rm{\implies \dfrac{x+x+2+x+4+x+6+x+8}{5}=11}$

$\rm{\implies \dfrac{7+7+2+7+4+7+6+7+8}{5}=11}$

$\rm{\implies \dfrac{55}{5}=11}$

$\rm\orange{\implies 11=11}$

$\rm\purple{\implies Hence, Verified}$