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hey everyone welcome to learn algebra
faster in this video we are going to
discuss how to find the mid range of a
set of numbers okay mid range and range
are similar but they're different in the
range remember we first found the
highest number and then we subtracted
the lowest number and what that did for
us was it showed us how much variation
there was from the lowest number to the
highest number but in mid range there's
a key difference we want to find the
middle of the range which means we want
to find the average between the highest
and the lowest so we will still have to
identify the highest number we'll also
have to identify the lowest number but
instead of subtracting the two we want
to find the average so we need to add
them and divide by two now this will
give us the number that's in the middle
of the highest number and the lowest
number so we don't necessarily have to
put all the numbers in order and the way
I like to find the highest and the
lowest is I just read the numbers left
to right and Mark mark the highest as
they get higher and the lowest as they
get lower so we see we start with 10 16
is bigger than 10 19 is bigger than 16
21 is bigger than 19 so 21 is our new
highest value so not 13 not 16 okay 25
is even higher and 29 is even higher
than that and as we continue to read
left to right we find out that 29 is our
highest number so we will go ahead and
write it down
okay let's start from the left ten is
our lowest and as we are reading we find
another ten but as we're reading left to
right we actually do not find any number
that is lower than ten so we find out
ten is the lowest now we want to find
the average between these two points and
that's our mid-range so we need to add
them and divide by two twenty nine plus
ten is thirty nine and thirty nine
divided by two actually gives us
nineteen point five so our mid-range
value is nineteen point five let's go
ahead and check another practice problem
okay for this number remember mid-range
means we need to find the average
between the highest and the lowest okay
57 is a big number 43 is less 65 is even
bigger 65 is repeated so we find out as
we read left to right that 65 is our
highest number so we will write it down
now let's find our lowest number 43 is
lower than 57 39 is even lower and it
looks like 39 is our lowest number so we
have 65 plus 39 divided by 2 will be our
mid-range so 65 plus 39 gives us 104 and
when we divide 104 by 2 we get our
mid-range which is 52 so notice on the
mid-range we didn't necessarily have to
put the whole set of numbers in order we
just used a little method to find the
highest number and the lowest number and
remember the difference between
mid-range and range is in mid range we
find the average and in range you just
find the difference so if you want to
get this in much more head over to learn
algebra faster calm we have a free video
course for you and you'll find a whole
lot more on mean median mode range and
mid range and much more thanks and I'll
catch you in the next video
![[3.1.17] Finding the mean, median, mode, midrange, and outliers of a data set](https://i.ytimg.com/vi/aebKNbW8bx0/mqdefault.jpg)