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in this video we're gonna talk about how
to make a relative frequency
distribution table
so first let's write down a few numbers
in our data set so let's say we have the
numbers 2 5 3 4 7 2 5 8 3 2 2
and then let's say 3 to 5 5 4 8 5 to 8
so with these numbers what can we do in
order to make a relative frequency table
first we need to make a frequency table
so I'm going to write UV for value F for
frequency and then another column for
our F or relative frequency so let's
start with the lowest value the lowest
value is 2 now our next step is to count
how many twos we have in our data set 1
2 3 4 5 6 so the frequency for this
number is 6 now let's move on to our
next value the next highest value is a 3
and we have 1 2 3 threes so the
frequency is 3 for that number next is a
4 and there's one only two fours in this
example the next highest number is a 5
so there's 1 2 3 4 5 5 5 s I don't see
any 6s so we're gonna go to 7 I only see
one 7 and finally the highest value is
gonna be 8 and so there's 1
to 3/8 our next step is to take the sum
of the frequency column 6 plus 3 is 9
plus 2 that's 11 plus 5 is 16 plus 1 is
17 and then plus 3 is 20 now to
calculate the relative frequency take
the frequency and divided by the total
frequency so 6 divided by 20 if you type
this in your calculator you should get a
point 3 0 next let's take 3 and divided
by 23 divided by 20 is point 15 and then
we're going to follow the pattern
so now let's divide 2 by 20 so this is
going to give us a point 1 which is the
same as point 10 and then we're gonna
have 5 divided by 20 and so that's point
2 5 and then it's 1 divided by 20 which
is point zero 5 and here we have a 3
again so we know 3 divided by 20 is
point 15 so that's how we can obtain the
relative frequency for each of the
values here so the relative frequency
for let's say a value of 4 would be
point 10 the relative frequency for
let's say 8 is Oh point 15 now here's
how you can test to make sure that you
did it correctly add up all the values
of the relative frequency and you should
get 1.0 so if you take point 3 and add
it to point 15 plus point 10 plus 0.25
plus point 0 5 and then plus point 15
again you should get exactly one so
that's basically it now you know how to
make a relative frequency table
so first you need to list out the values
and the corresponding frequencies and
then you can calculate the relative
frequency by taking the frequency and
dividing it by the total frequency and
as you can see it's not that difficult
now if you haven't done so already feel
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in addition check out my next video on
cumulative relative frequency because it
builds on what we've just considered you
can find that video and my statistics
playlist or just type in cumulative
relative frequency in YouTube and then
after that type in organic chemistry
tutor thanks again for watching