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=411=\frac{v+33}{4}v+33=44\implies v=11
The value of v is:11