How to Construct a Grouped Frequency Distribution Table Video Lecture -

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let us make a frequency distribution
table so we will make use of tally marks
here a group of students when asked to
say which animal they would like most to
have as a pet their results are given
below now there were a fixed number of
students in a class and let's say that
they were asked this question so the
first student said dog second one said
cat third cat fish that rabbit dog -
rabbit dog and so on now what do you
observe so looking at this data that is
given here what do you observe you user
you observe that there are certain
entries which are getting repeated over
and again
for example cat it exists here here here
your and what does that mean that means
that multiple students have told that
they would like to have a cat as their
pet and the same is true for other
animals as well because we do see that
many animals are getting repeated again
and again so let us first make a list of
all the unique entries so what what are
the various options that are being
chosen by the students so let us list
down the name of all those animals so
dog catfish rabbit and cow so these are
the animals that we see in this entire
set of data so there is nothing else
other than these animals fine so now
once we know this what we need to do in
order to make a frequency distribution
table we need to find how many times
each of these entries get repeated now
when you look at this huge set of data
it is very difficult to directly count
to the frequency so what you so what we
do we first write their tally marks so
let's see the second column is for tally
marks let's talk about dog so the first
entry is a dog again
this entry is a dog again this is a dog
this is again dog two times so one
- again a dog you can have a dog game a
dog dog and dog two more times so one
two similarly let's do it for cat and
then cat also we see that there are ten
entries for cat for fish rabbit Cup so
for all these as we keep counting
wherever we come across a cat or a cow
or whichever entry we are counting you
should we just keep on making these
lines now once you have drawn all the
lines now it is very easy to find out
their frequency because one set of these
lines is nothing but five so it is
basically five plus five that is ten
similarly here also it is five plus five
that is ten this is 3 this is 4 and this
is one so this is how we made a
frequency distribution table so let us
now talk about group frequency
distribution table now when they already
have something like frequency
distribution table why do we need
something like grouped frequency
distribution table at all so what does
the need of having a group the frequency
distribution table so this table gives
the a number of entries in a particular
group so basically here data is
represented in groups now the idea of
grouped frequency distribution table
might not be clear only with this
statement at how has data represented in
groups why is data represented in groups
so let us take an example let us suppose
that there are ten students in a class
and the score of these students are as
given on the screen
now let's say the names of the students
are ABCDE and so on and just their
scores respectively are 90
t-80 142 and so on so these are the
scores of the ten students in the class
now you must be knowing that in a real
classroom there are a lot more than ten
students there might be sixty students
there might be hundred students now for
all those students you might have their
different scores now if you look at this
data what do you observe you observe
that the scores they hide little bit so
most of the scores for the frequency of
most of the scores is one that is they
are not getting repeated they exist only
once for example how many times do you
see 19 it is just once how many times do
you see 80 again 80 is also occurring
only once so in this case the frequency
of most of the data is 1 right so now if
we think of creating a frequency
distribution table like how we were
creating before so do you think that it
will have much benefit not really
because the frequency distribution table
is helpful when a particular entry is
getting repeated multiple number of
times only then we have the concept of
frequency but here it is not getting
repeated over and again so what do we do
so in this case we create groups now
what do we mean by groups so how do we
create groups now what we do is we say
that ok fine
let us find out the number of students
who have scored below 40 so less than
what T is one group again let us try to
find out all those whose code somewhere
between 40 and 60 again let's find those
whose code somewhere between 60 and 80
again let's find those who scored
somewhere between 80 and hundred so what
are these these are nothing but groups
so now when you take you ask that how
many students scored less than 40 so how
many students code less than forty maybe
one how many scored between 40 and 60
maybe - how many scored between six
at 1883 so now you have frequency for
each group so even though a particular
entry did not get repeated over and
again what did we do we created a group
so we said okay maybe only one student
scored 42 but when I say how many
students code between 40 and 60 then
those who scored 42 who those who scored
45 they came together so we got that
there are two students who scored
between 40 and 60 so in such scenarios
we introduced these concept the concept
of group so and this is called a grouped
frequency distribution tables here also
you we will make use of tally marks like
we made before
here also we will have a column for
frequency it is just that in this case
we will have a column the first column
will be for group so we basically group
the data so we put the data into groups
like here the groups are 40 to 60 is a
group 60 to 80 is a group 80 200 as a
group so in this way we will divide the
entire set of data into groups and then
create the frequency distribution tables
that is why it is called a group
frequency distribution table thank you
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