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welcome to math with mr. J in this video

I'm going to cover how to find the

median of a data set and the median is

the middle number of a data set and the

way I remember it I think of the word

medium it kind of sounds like median and

medium is the middle size so I make the

connection that median equals middle

because sometimes once you add mean

median mode and range and put them all

together it can be hard to think about

which is which so you have to make

connections and my connection is medium

equals middle size and it kind of sounds

like median so we have two examples that

we're going to go through together in

order to get this down so number one

here the first thing we need to do we

need to list those numbers in order from

least to least to greatest so our first

number our lowest value is this two here

and I cross it off that way I don't

count it twice or forget or forget

anything then we have three threes one

two three we don't have a four so we

skip to a five here don't have any sixes

so then seven eight nine and then ten so

we have one two three four five six

seven eight nine numbers in our original

list so that means we should have nine

once we order them from least to

greatest if we don't have nine something

went wrong so let's double check one two

three four five six seven eight nine so

we are good to go

so once we have them in order we need to

find the middle number so we have nine

numbers in that list so the fifth number

will be our median so one two three four

and five so five happens to be our

median or middle number

so median equals five and one more thing

we should double-check we should always

check that we have the same amount of

numbers on the left side of that five

and the right side of that five proving

that it is directly in the middle so

let's see we have one two three four on

the left and one two three four on the

right so just proves that that 5 is our

median and in the middle so number two

again first step we need to put those

numbers in order from least to greatest

so our smallest number in value is this

73

next comes the 82 then we have an 83 87

ninety and 96

so here we have six terms six numbers in

our data set one two three four five six

one two three four five six so we match

we're good to go

and we are in order from least to

greatest so let's find the middle number

well here we have an even number of

numbers in our data set so we do not

have one number directly in the middle

it's going to be our middle would be

right here between 83 and 87 so what you

do if you have an even number of numbers

in your data set we find that two

numbers directly in the middle which

it's going to be in 83 and in 87 here as

opposed to number one we had an odd

number of numbers in our data set when

you have an odd number of numbers there

will be one number directly in the

middle so we have two here so once we

find the two numbers directly in the

middle of our data set we take the

average of those two and that will give

us our median so in order to find the

average we need to

add our two numbers up so 83 plus 87 and

that gives us an answer of 170

once you add them up you need to divide

by how however many numbers you add it

up and we added two numbers up so we

need to divide by two in order to find

the average so 170 divided by 2 is 85 so

our median equals 85 and let's double

check that we have the same amount of

numbers on the left and right of our two

numbers in the middle so we have one two

and one two so we did pick the two

middle numbers we found that average and

that gives us our media so there you

have it there's how you find the median

of a data set I hope that helped thanks

so much for watching until next time

peace