Respuesta :

Answer:

x=5

Step-by-step 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

Answer:

[tex]\huge \boxed{{x=5}}[/tex]

Step-by-step explanation:

The mean is the average value of a data set.

[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]

The mean is given solve for x.

[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]

Multiply both sides by 6.

[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]

[tex]48=3+2+x+11+13+14[/tex]

Combine the numbers on the right side of the equation.

[tex]48=x+43[/tex]

Subtract 43 from both sides.

[tex]48-43=x+43-43[/tex]

[tex]5=x[/tex]