Question

Find the median of the data \[:{\text{ }}15,22,9,20,6,18,11,25,14\]

Answer 1

Hint: To solve this problem, we simply count the number of terms and use formulas for odd numbers of terms to find median. i.e. ${(\dfrac{{n + 1}}{2})^{th}}$


Complete step by step solution:
We are given with data \[:{\text{ }}15,22,9,20,6,18,11,25,14\]
So, to find the median we first need the data arranged in ascending order
\[6,9,11,14,15,18,20,22,25\]
So, Total terms \[ = {\text{ }}9\] Observations
Therefore, Median $ = {(\dfrac{{n + 1}}{2})^{th}}$ observation
\[\] \[ = \dfrac{{10}}{2} = {5^{th}}\]observation is \[15.\]
∴ Median \[ = {\text{ }}15\]


Note: To find the median, the first step is to arrange the data in ascending order and check whether there are odd or even observations and apply formula accordingly.