The scores on the mathematics test (out of 25) of 15 students are as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of the given data.

Given the score of 15 students in mathematics out of 25, it is 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20.

The mode can be defined as the number that occurs the most number of times.

Here, 20 occurs 4 times.

Thus, Mode = 20

Here is the number of observations (n) = 15(odd)

Thus, 

Median = ${\left(\frac{n+1}{2}\right)}^{\mathbf{th}}$  observation

→ Median =  ${\left(\frac{15+1}{2}\right)}^{\mathrm{th}}$  observation

→ Median = ${\left(\frac{16}{2}\right)}^{\mathrm{th}}$ 

→ Median = $8^{\mathrm{th}}\mathrm{observation}$  

→ Median = 10

Therefore, Mode = 20, Median = 10