Here,

According to the question,

At first,

We’ll arrange the data in an ascending order as follows:

12, 12, 13, 13, 14, 14, 14, 16, 19

Now,

We know that,

Mode is termed as that value of observation which occurs for the maximum number of times.

And,

Median of any data is known as the middle observation when that data is arranged in ascending or descending order.

Now,

As we know that,

There are total 9 observations

Hence,

Median =

= th term

= 5^th term

Thus,

Median = 14

And,

We can observe that,

14 occurs the maximum number of times which three number of times

Hence,

We get,

Mode of the given data = 14