Question

if the mean of 6 8 5 x and 4 is 7 find the value of x​

Answer 1

Step-by-step explanation:

Mean = 6+8+5+x+4/5

Mean = 7

7=23+x/5

7*5 = 23 +x

35 = 23+x

35-23=x

12=x

Answer 2

$\huge\mathbb{\underline{SOLUTION:-}}$

$\bold{Given}\begin{cases}\sf{Mean=7}\\ \sf{Observation=6,\:8,\:5,\:x\:and\:4}\end{cases}$

Now we know that Mean

$\bigstar{\boxed{\sf{Mean=\dfrac{Sum\:of\: observation}{Number\:of\: observation}}}}$

Now

$\sf\underline{\red{A.T.Q\:\:}}$

$\sf\:\:\implies 7=\dfrac{6+8+5+x+4}{5}\\ \\ \sf\implies 7\times 5= 23+x\\ \\ \sf\implies 35-23=x\\ \\ \sf\implies 12=x$

$\sf{\underline{The\: value\: of\: x\: is\: 12}}$

$\boxed{\sf{\red{Verification:-}}}$

$\sf\implies mean=\dfrac{sum\:of\: observation}{No.\:of\: observation}\\ \\ \sf\implies 7=\dfrac{6+8+5+12+4}{5}\\ \\ \sf\implies 7=\cancel{\dfrac{35}{5}}\\ \\ \sf\implies 7=7$

• L.H.S=R.H.S

$\boxed{\bigstar{\sf{Value\:of\:x\:is\:12}}}$