The weights (in kg.) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

Find the mode and median of this data.

Given the weights (in kg.) of 15, students of a class are 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, and 47.

By arranging the above data, we can write it as:

32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50.

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

Here, 38 and 43, both occur the maximum of 3 times.

Thus, Mode = 38, 43

Now, the number of observations (n) = 15(odd)

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

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

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

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

→ Median = 40

Hence, Mode = 38, 43 and Median = 40