Question

Find the median of 2 4 6 8 10 12 14

Answer 1

Answer:

n=7

mean = (n+1)/2 th term

(7+1)/2 th term

8/2 th term

4 th term

8

Answer 2

Median of 2 , 4 , 6 , 8 , 10 , 12 , 14 is 8

Given :

The observations 2 , 4 , 6 , 8 , 10 , 12 , 14

To find :

Median of 2 , 4 , 6 , 8 , 10 , 12 , 14

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)

Formula for calculating median :

1. If total number of observations n is odd then

$\displaystyle \sf{ Median = {\bigg( \frac{n + 1}{2} \bigg)}^{th} \: observation }$

2. If total number of observations n is even then

$\displaystyle \sf{ Median = \frac{1}{2} \times \bigg[ {\bigg( \frac{n }{2} \bigg)}^{th} \: observation +{\bigg( \frac{n}{2} + 1 \bigg)}^{th} \: observation \bigg] }$

Solution :

Step 1 of 3 :

Write down the given observations

Here the given observations are 2 , 4 , 6 , 8 , 10 , 12 , 14

Step 2 of 3 :

Rearrange in ascending order

Rearranging in ascending order we get

2 , 4 , 6 , 8 , 10 , 12 , 14

Step 3 of 3 :

Find the median of the scores

Number of observations = 7 which is odd

Therefore the required median

= The middle terms of the whole arranged observations

= 4th observation

= 8

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