Question

For the data $4,3,-4,-3,0,1,2,3$ and $3$.

Mean$=$______.

Answer 1

The median of any data gives the value of the middle term.

To calculate the median, first arrange the data either in ascending order or descending order

Here, we are arranging the data in ascending order

$-4,-3,0,1,2,3,3,3,4$

Here the number of terms $\left(n\right)$ in the given data is $9$, which is an odd number.

Formula to calculate the median (if the number of terms is odd)

$$\begin{gathered} \text{Median=Value of}{\left(\frac{\mathrm{n}+1}{2}\right)}^{\mathrm{th}}term \\ =Valueof{\left(\frac{9+1}{2}\right)}^{th}term \\ =valueof{\left(\frac{10}{2}\right)}^{th}term \\ =\text{value of}{\left(5\right)}^{th}\text{term} \\ =2 \end{gathered}$$

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