Question

find the median of 17, 5,9, 1 ,12,13,3,10,9​

Answer 1

Answer:

Median is the middle value of the data after arranging or desceding order.

Media of odd number observation

= n+1/2

= 9+1/2

= 5

5 number of Median is 12

Answer 2

$\huge{\boxed{\fcolorbox{cyan}{pink} {Question}}}$

find the median of 17 , 5 , 9 , 1 , 12 , 13 , 3 , 10 , 9

$\huge{\boxed{\fcolorbox{cyan}{pink} {Answer}}}$

$\sf{\:Let \:us \:arrange \:the \:numbers \:in \:ascending \:order}$

$~~~~~\sf\red{1 , 3 , 5 , 9 , 9 , 10 , 12 , 13 , 17}$

There are 9 number in the set !

$\sf{\:Number \:of \:items (n) = 9}$$\sf\purple{(\therefore \:it \:is \:odd)}$

We know the formula ;

$\sf\bold{: ⟹ \left[\frac{n + 1}{2} \right]^{th} observation}$

$\sf\bold{: ⟹ \left[\frac{9 + 1}{2} \right]^{th} observation}$

$\sf\bold{: ⟹\left[\frac{10}{2} \right]^{th} observation}$

$\sf\bold{: ⟹\left[\frac{\cancel{10}^{5}}{\cancel{2}_{1}} \right]^{th} observation}$

$\sf{⟹n = 5^{th} observation}$

So 5th observation = 9

• So the median = 9

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More information;

$\sf\green{Mean}$ - The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set

$\sf\green{Median}$ - The median is the middle value when a data set is ordered from least to greatest.

$\sf\green{Mode}$ - The mode is the number that occurs most often in a data set.