step by step solution:

The formula for the **mean** is:

\bar{x}=\frac{\sum x}{n}

where,

\sum x=x_1+x_2+x_3+x_4

Substitute **x_1=v,x_2=11,x_3=11** and **x_4=11** into the formula:

\sum x=v+11+11+11

Calculations for the expression.

v+11+11+11=v+33

\bar{x}=\frac{\sum x}{n}

substitute,

\bar{x}=11,\sum x=v+33 ~and ~~n=4

11=\frac{v+33}{4}

v+33=44\implies v=11

The value of v is:**11**