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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
