Question

The Mathematics test scores of $\text{8}$ students are recorded as $\text{8,7,5,10,9,10,5 and 8}$.Find the median score of these $\text{8}$ students.

Answer 1

Test score of $\text{8}$students $\text{8,7,5,10,9,10,5,8}$

Arranging the data in ascending order

$\text{5,5,7,8,8,9,10,10}$

Here $\text{n = 8}$ (even )

Median $\text{=}\frac{\text{Value of}{\left({\displaystyle \frac{n}{2}}\right)}^{th}\text{term}\text{+}{\left(\frac{n}{2}+1\right)}^{\text{th}}\text{term}}{\text{2}}$

Median$\text{=}\frac{{\left({\displaystyle \frac{8}{2}}\right)}^{th}\text{term}\text{+}{\left(\frac{8}{2}+1\right)}^{\text{th}}\text{term}}{\text{2}}$

Median$\text{=}\frac{{\text{4}}^{th}{\text{term+5}}^{th}\text{term}}{\text{2}}$

Median $\text{=}\frac{\text{8+8}}{\text{2}}$

Median $\text{= 8}$

Hence, the median score of these $\text{8}$ students is $\text{8}$