Question

The mean of 5, 0, 2, 7, 1, x +5 is 5 then value of ‘x’​

Answer 1

Total no. of observations= 6.

Mean= sum of all observation/total no. of observations.

5= 5+0+2+7+1+x+5/6

5×6= 5+0+2+7+1+x+5

30= 20+x

30-20=x

x= 10

itzDopeGirl

Answer 2

Answer :

Value of x is 10.

$\sf{ Given \begin{cases} The \: mean \: of \: 5, 0, 2, 7, 1, x +5 \: is \: 5. \end{cases}}$

We know the formula to calculate the mean.

$\small{\implies{\boxed{\boxed{\sf{Mean = \dfrac{Sum \: of \: observations}{Total \: number \: of \: observations}}}}}$

$\sf{\dashrightarrow 5 = \dfrac{5 + 0 + 2 + 7 + 1 + (x+ 5)}{6}} \\ \\ \sf{\dashrightarrow 5 = \dfrac{20 + x}{6}} \\ \\ \sf{\dashrightarrow 5 \times 6 = 20 + x} \\ \\ \sf{\dashrightarrow 30 = 20 + x} \\ \\ \sf{\dashrightarrow 30 - 20 = x} \\ \\ \sf{\dashrightarrow x = 10}$

$\large{\implies{\boxed{\boxed{\sf{Mean = 10}}}}}$