Given the data set $2$, $4$, $7$, $9$, and $11$, calculate the mean absolute deviation.
The sample standard deviation for this data is approximately $3.56$. How does the mean absolute deviation compare? Use the formula $\text{MAD}=\frac{\Sigma \mid x-\bar{x}\mid }{n}$.

$\text{MAD}=2.88$

The mean absolute deviation is less than the sample standard deviation

$\text{MAD}=2.08$

The mean absolute deviation is less than the sample standard deviation

$\text{MAD}=3.88$

The mean absolute deviation is greater than the sample standard deviation

$\text{MAD}=3.56$

The mean absolute deviation is equal to the sample standard deviation