Question

Median of distribution `7 4 6 3 8 5 9 ` is....​

Answer 1

Median of the distribution 7 , 4 , 6 , 3 , 8 , 5 , 9 is 6

Given :

The distribution 7 , 4 , 6 , 3 , 8 , 5 , 9

To find :

Median of the distribution 7 , 4 , 6 , 3 , 8 , 5 , 9

Concept :

Median

Median is the middle most value of a set of observations when the samples are arranged in order of magnitudes ( Either in ascending or in descending)

Solution :

Step 1 of 3 :

Write down the given observations

Here the given observations are 7 , 4 , 6 , 3 , 8 , 5 , 9

Step 2 of 3 :

Rearrange in ascending order

Rearranging in ascending order we get

3 , 4 , 5 , 6 , 7 , 8 , 9

Step 3 of 3 :

Find the median

Number of observations = 7 which is odd

Therefore the required median

= The middle terms of the whole arranged observations

$\displaystyle \sf{ = \frac{7 + 1}{2} \: th \: observation }$

$\displaystyle \sf{ = \frac{8}{2} \: th \: observation }$

$\displaystyle \sf{ = 4\: th \: observation }$

= 6

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