Question

If the mean of 3 2 x 11 13 14 is 8 find the value of x​

Answer 1

`\huge \boxed{{x=5}}`

Explanation:

The mean is the average value of a data set.

`\displaystyle \sf mean = (sum \ of \ terms)/(number \ of \ terms)`

The mean is given solve for x.

`\displaystyle 8 = (3+2+x+11+13+14)/(6)`

Multiply both sides by 6.

`\displaystyle 8(6) = (3+2+x+11+13+14)/(6) * (6)`

`48=3+2+x+11+13+14`

Combine the numbers on the right side of the equation.

`48=x+43`

Subtract 43 from both sides.

`48-43=x+43-43`

`5=x`

Answer 2

x=5

Explanation:

To find the mean, add up all the numbers and then divide by the number of numbers

(3+ 2+x+ 11+ 13+14)/6 = 8

Multiply each side by 6

(3+ 2+x+ 11+ 13+14) = 48

Combine like terms

43+x = 48

Subtract 43 from each side

x =5