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

4.jpg

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

5.jpg

 

 

  1. Chapter 3 Class 7 Data Handling
  2. Concept wise

Transcript

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 = ((๐‘› + 1)/2)^๐‘กโ„Ž observation = ((5 + 1)/2)^๐‘กโ„Ž observation = (6/2)^๐‘กโ„Ž observation = 3rd observation = 83 So, our formula is n is odd, Median = ((๐‘› + 1)/2)^๐‘กโ„Ž observation n is even, Median = ((๐‘›/2)^๐‘กโ„Ž " + " ((๐‘› + 1)/2)^๐‘กโ„Ž " observation" )/2

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.