Question

Find the value of the median from the following data: 15, 35, 48, 46, 50, 43, 55, 49.

Answer 1

First of all, we need to arrange the data in an ascending order. Thus, the data is presented below as:

15, 35, 43, 46, 48, 49, 50, 55

N = 8
Since the number of items in the series is even, thus the following formula is used to calculate the median.

$$\begin{gathered} \mathrm{Median}=\frac{\mathrm{Size}\mathrm{of}({\displaystyle \frac{N}{2}}{)}^{\mathrm{th}}\mathrm{item}+\mathrm{Size}\mathrm{of}({\displaystyle \frac{N}{2}}+1{)}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{\mathrm{Size}\mathrm{of}({\displaystyle \frac{8}{2}}{)}^{\mathrm{th}}\mathrm{item}+\mathrm{Size}\mathrm{of}({\displaystyle \frac{8}{2}}+1{)}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{\mathrm{Size}\mathrm{of}{{\displaystyle 4}}^{\mathrm{th}}\mathrm{item}+\mathrm{Size}\mathrm{of}{{\displaystyle 5}}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{46+48}{2}=47 \end{gathered}$$

Thus, Median is 47.