Median

Median is the middle most value

Let’s take an example

Runs scored by Virat Kohli are 120, 24, 48, 64, 29, 64, 71, 3, 64, 29

Find Median

First, we arrange the numbers in ascending order

3, 24, 29, 48, 64, 64, 64, 71, 120

Here, Number of observations = 10

  Since number of observations is even,

3, 24, 29, 48, 64, 64, 64, 71, 120

Median = ((10/2) ^th observation + (10/2  + 1) ^th   observation)/2

= (5 ^th  observation + 6 ^th   observation)/2

= (48 + 64)/2

= 112/2

= 56

So, median = 56

Marks scored by Satvik in his test are 48, 91, 83, 83, 95. 

Find median

First, we arrange the numbers in ascending order

Median = Middle most observation = 83

We can also use the formula

  Number of observations = 5

  Since number of observation is odd

  Median = ((n + 1)/2) ^th observation

    = ((5 + 1)/2) ^th observation

   = (6/2) ^th observation

   = 3 ^rd observation

   = 83

So, our formula is