in this video we're going to 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 five three four seven two five eight three two two and then let's say three two five five four eight five two eight 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 v for value f for frequency and then another column for rf or relative frequency so let's start with the lowest value the lowest value is two now our next step is to count how many twos we have in our data set one two three four five six so the frequency for this number is six now let's move on to our next value the next highest value is a three and we have one two three threes so the frequency is three for that number next is a four and there's one only two fours in this example the next highest number is a five so there's one two three four five five fives i don't see any sixes so we're gonna go to seven i only see one seven and finally the highest value is going to be eight and so there's 1 2 3 8. our next step is to take the sum of the frequency column six plus three is nine plus two that's eleven plus five is sixteen plus one is seventeen and then plus three is twenty now to calculate the relative frequency take the frequency and divide it by the total frequency so 6 divided by 20. if you type this in your calculator you should get 0.30 next let's take 3 and divided by 20. 3 divided by 20 is 0.15 and then we're going to follow the pattern so now let's divide 2 by 20. so this is going to give us 0.1 which is the same as 0.10 and then we're going to have 5 divided by 20. and so that's 0.25 and then it's 1 divided by 20 which is 0.05 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 0.10 the relative frequency for let's say eight is point fifteen 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 one point zero so if you take point three and add it to point fifteen plus point ten plus point two five plus point zero five and then plus point fifteen 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 free to subscribe to this channel and whatever you do don't forget to click on that notification bell 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 in 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