Question

For the data $0,2,3,5,9,2$ and $-7$

Median$=$________.

Answer 1

The median of the given data always gives the value of the middle term.

To find the median first arrange the data either in ascending order or descending order.

Here, arranging the data in ascending order $-7,0,2,2,3,5,9$.

The number of terms $\left(n\right)$ in the given data is $7$, Which is an odd number.

The formula to calculate the median (if the numbers of terms is odd)

$$\begin{gathered} \mathrm{Median}=\mathrm{Value}\mathrm{of}{\left[\frac{\mathrm{n}+1}{2}\right]}^{\mathrm{th}}\mathrm{term} \\ =\mathrm{Value}\mathrm{of}{\left[\frac{7+1}{2}\right]}^{\mathrm{th}}\mathrm{term} \\ =\mathrm{Value}\mathrm{of}{\left[\frac{8}{2}\right]}^{\mathrm{th}}\mathrm{term} \\ =\mathrm{Value}\mathrm{of}{\left(4\right)}^{\mathrm{th}}\mathrm{term} \\ =2 \end{gathered}$$

Hence, the median of the given data is $2$.