Mean, Range, Median and Mode Tutorial!

Question

alexandervonhumboldt2 · Answer

Mean, Range, Median and Mode Tutorial!



$\Huge\color{red}{ ☞ }$ What is mean?
Mean is the average of the set of numbers. To find the mean add all the values together and divide by the number of values in the set. 
$$\frac{ x_1+x_2+x_3+x_4+...+x_n }{ n }=mean$$

Examples:
Lets find mean of the following sets:
{1, 5, -8, -65, 85, 12, 32}
$$\frac{ 1+5+(-8)+(-65)+85+12+32 }{ 7 }=62/7$$

Another example:
{-1, 2, 10, 25, -30}
$$\frac{ -1+2+10+25-30 }{ 5 }=6/5$$





$\Huge\color{red}{ ☞ }$ What is range?
Range is the diference between the biggest number and the smallets number in the set. To find range we need to subtract smallest number from biggest number.

Let x_1 be the smallest and x_6 be the biggest.
$${x_1, x_2, x_3, x_4, x_5, x_6}$$

The range is $$x_6-x_1$$

Example:
{8, -9, 10, 2, 3, 65, 85}
The biggest number is 85. The smallest number is 2. 
Thus we subtract  2 from 85:
85-2=73

83 is the range.



$\Huge\color{red}{ ☞ }$ What is Mode?

Mode is the number that has the most frequency in the set.
To find mode you simplify need to find which number has the most frequency.

Example:
{1, 2, 3, 98, 66, 85, 99, 99, 45, 99, 32}

The most frequency has 99.
Thus 99 is the mode.




$\Huge\color{red}{ ☞ }$ What is median?

Median is the middle of the set of numbers. 
To find it you need to order the number from least to greatest and find the misddle of the set.

Example:
{1, 2, -8, -6, 12, 17, 8}

Order them:
-8, -6, 1, 2, 8, 12, 17

The middle is 2. Thus median is 2.



NOTE!  These can be a set which has even number of values.

Like {1, 2, 3, 4, 5, 6}

In such case you need to find the average of the 2 medains:

The meddians are 3 and 4.

Now find the average:
(3+4)/2=7/2=3.5


Thus 3.5 is the median.








Now it is your turn! 


$\Huge\color{red}{ ☞ }$   Find the mean, median, mode and range of the following set: 
  {1, -8, -8, 99, 67, 58, 10, -23, -23, 10}

alexandervonhumboldt2 · Answer

@ganeshie8    @Michele_Laino    @TheSmartOne   @imqwerty    @rvc

alexandervonhumboldt2 · Answer

it is short lol

aaronandyson · Answer

Example:
{8, -9, 10, 2, 3, 65, 85}
The biggest number is 85. The smallest number is 2. 
Thus we subtract  2 from 85:
85-2=73

83 is the range.

You've made an error there.

aaronandyson · Answer

and a spelling error

The meddians are 3 and 4.

confluxepic · Answer

@iGreen also made a tutorial about this.

alexandervonhumboldt2 · Answer

wooops thx @AaronAndyson

alexandervonhumboldt2 · Answer

it should be 83 yeah

thesmartone · Answer

Aaron has 3 medals. xD

pawanyadav · Answer

Can you also do this for variance, standard deviation, mean deviation ...

pawanyadav · Answer

@AlexandervonHumboldt2 pls it's very helpful.

alexandervonhumboldt2 · Answer

i will do if i'll have time ahaa

pawanyadav · Answer

OK.   Waiting

chantysquirrel1129** · Answer

*claps*


:D

astrophysics · Answer

Nice one @AlexandervonHumboldt2

michele_laino · Answer

good work!! :) @AlexandervonHumboldt2

gottennis121 · Answer

I love it @AlexandervonHumboldt2

alexandervonhumboldt2 · Answer

:)

miracrown · Answer

Hey diddle diddle, the median's the middle; you add and divide for the mean; The mode is the one that you see the most; And the range is the difference between!

markchernioglo · Answer

Wow thanks!

markchernioglo · Answer

SPASIBO! :)