We are given the following data set:
![2,7,2,1,5,6,9,8,16](https://img.qammunity.org/2023/formulas/mathematics/college/pes86kkmz9d0qe9bbba3ixy6hxszmvdu0m.png)
To determine the mode of the data set we will first arrange the data from smaller to larger numbers:
![1,2,2,5,6,7,8,9,16](https://img.qammunity.org/2023/formulas/mathematics/college/igi3u70whpln47kqxclvegktflb3g1tpvf.png)
We have 9 digits. The median is the number in the middle of the data set, Therefore, the median is the number in the fifth position. That number is:
![\operatorname{median}=6]()
The mode is the number that is repeated the most in the data set. That number is 2 since it is repeated twice and all other numbers appear only once.
![\mod e=2](https://img.qammunity.org/2023/formulas/mathematics/college/cn7b20vla46bca7ray3futjp8nvsj7mjqd.png)