Answer: mean > median
Step-by-step explanation:
The given data : 11, 11, 12, 13
The mean of the given data set is given by :-
\(\text{Mean}=\frac{\text{Sum of all elements}}{\text{number of all elements}}\\\\\Rightarrow\ \text{Mean}=\frac{11+11+12+13}{4}\\\\\Rightarrow\ \text{Mean}=\frac{47}{4}\\\\\Rightarrow\ \text{Mean}=11.75\)
To find median, first arrange them in ascending order and since the number of elements is a even number(n=4), therefore,
Median=\(\frac{\frac{n}{2}\ term+(\frac{n}{2}+1)\ term}{2}\)
\(\frac{n}{2}\ term=\frac{4}{2}\ term=2nd\ term=11\)
\(\frac{n}{2}+1\ term=\frac{4}{2}+1\ term=3rd\ term=12\)
Median=\(\frac{11+12}{2}=\frac{23}{2}=11.5\)
Since, 11.75>11.5
Therefore, mean > median
