# 7th Class Mathematics Data Handling Median

## Median

Category : 7th Class

### 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

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

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

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