in this video we'll take a look at frequency distribution tables frequency
distribution tables are used for quickly summarizing or tabulating a number of
values we'll take a look at how to create a frequency distribution table
next suppose me of the following values with
scores for 12 people on the variable X here we'll make a table where will
tabulate or count the frequency for each value of X first let's take a look at
the different possible values of X that we have in our data set so notice in our
above example that we have the values of 20 there's no 21 here but we have 22 23
24 and 25 so we have 20 through 25 or 21 is missing and there are also multiple
values for some so for example there's 1 2 3 4 20 threes in this example but in
summary we have the values 20 through 25 where 21 is missing so as I indicated a
few moments ago we have those values of X that I said and there's no value of 21
however because 21 occurs between the lowest and highest values so it's in
that range we'll include it in our table in creating our table we'll start by
listing the values for X beginning with the largest value first so as I
mentioned previously will begin with X we'll make a column for X as you see on
your screen and we'll start with 25 and then we'll move all the way down here so
we have 25 24 23 22 we included this 21 even though there were no values of 21
up here and that's because it's inside this range here and then we have 20 next
we'll need to make a column for F which represents the frequency or the number
of times that each value occurred we'll count the number of times each value
occurs and we'll list it in the table under F or frequency so starting with
the highest value notice that there is 125 and then 24 there's one to two
values of 24 and we could go ahead and count or tabulate the rest notice for 25
we have one as identic ated so this F indicates the frequency
or how many of a given value occurred in our data set so we have one value of 25
we have two values of 24 we have four values of 23 let's check that one two
three four we have two values of 22 so let's double check that one - we have no
21s as we saw before so notice how we include a zero here when there are no
occurrences of that value and then we have three values of 20 let's check that
so we have one two three 20s okay so it's very important to remember here
that F stands for the frequency and X is the original value so F tells you how
many of the X's that you actually have we have one twenty five to twenty fours
and so on and that's really all there is to it for
creating a frequency distribution table once this is created there's some
advantages that we didn't have when the numbers were just listed we can look at
this table focusing on the frequency column for a moment and we can quickly
identify the value that occurred the most often or most frequently and that
is we look here and we see that the largest frequency is four and that
corresponds to a score or a value of 23 so 23 occurred the most often and that's
also known as the mode or the most frequently occurring value so in this
example we would say that the mode is 23 the value that occurred the least often
is 21 as it did not occur at all okay that's it for creating frequency
distribution tables thanks for watching