Question

find the median of 5, 9, 8, 6, 3, 5, 7, 12.​

Answer 1

n+1÷2

8+1÷2

4.5

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Answer 2

Step-by-step explanation:

Question:-

Find the median of:-

5,9,8,6,3,5,7,12

Answer:-

Given:-

5,9,8,6,3,5,7,12

To find:-

Median of above data

Process:-

Firstly, let's arrange the data in increasing order:-

3 , 5 , 5 , 6 , 7 , 8 , 9 , 12

Total number of all data = 8

In order to find median of the data of even frequency (as 8 is even),the formula is:-

$Median \: = \frac{ (\frac{n}{2}) \: term \: + ( \frac{n}{2} + 1) }{2} \\ \\ Median = \frac{( \frac{8}{2}) \: term + ( \frac{8}{2} + 1) }{2} \\ \\ Median \: = \: \frac{ 4th \: term \: + ( \frac{9}{2} ) \: term }{2} \\ \\ Median \: = \: \frac{4th \: term \: + 4.5 \: (5th \: term)}{2} \\ \\ Median \: = \: \frac{6 + 7}{2} \\ \\ Median \: = \: \frac{13}{2} \: = 6.5(ans)$

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Hope it helps you...

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