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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