7th Class Mathematics Data Handling Median

     Median

Step 1:  Arrange the given data either in ascending or descending order                

Step 2:   Count the number of observation.

Step 3:   If the number of observation is odd, then \[median={{\left( \frac{n+1}{2} \right)}^{th}}observation\]

Step 4:   If the number of observation is even, then                

\[\frac{median={{\left( \frac{n}{2} \right)}^{th}}observation+{{\left( \frac{n}{2}+1 \right)}^{th}}observation}{2}\]  

Find the median of 4, 5, 3, 3, 2, 1, 5                

Solution:                

Arrange the data in ascending order, we get 1, 2, 3, 3, 4, 5, 5 Here the number of observation is 7 which is odd number that is Median \[={{\left( \frac{n+1}{2} \right)}^{th}}\] observation

\[={{\left( \frac{7+1}{2} \right)}^{th}}\] observation i.e. the fourth observation. Therefore, median is 3                

Find the median of first six prime number                

Solution:                

First six prime numbers are 2, 3, 5, 7, 11, 13                

\[\frac{median={{\left( \frac{6}{2} \right)}^{th}}observation+{{\left( \frac{6}{2}+1 \right)}^{th}}observation}{2}\]                

\[=\frac{third\,observation+fourth\,obsercation}{2}=\frac{5+7}{2}=6\]