Graphical Representation Cumulative Frequency Video Lecture - Class 10

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graphical representation of humility
frequency distribution there are three
kind of representation less than type
more than type n we have a wet method of
locating the median homograph so in this
thing we will do three things first
thing is we'll do a draw less than the
graph will draw more than digraph and
we'll study how to look at the median
from the graph so let's take the less
than pay graph for less than tie graph
what do you do if you see here it is 0
to 10 10 to 20 so we have to find write
less than 10 less than or equal to 10
this is done second will be less than or
equal to 20 this is a similarly we have
one less than or equal to all right 30
40 50 60 70 80 90 nm right this is all
less than or equal to I'm not writing it
you can assume that it is written here
so for this I have to say less than or
equal to so what are the values that are
less than or equal to 10 it is 5 only so
it will be fine less than or equal to 20
so less than or equal 20 are this value
plus this well correct if you're talking
about 20 lessening to 20 this is all the
hello from way into where you add that
is 5 plus 3 that is a talking about less
than or equal to 30
that means from here I need to add all
the values it is 4 plus 3 plus 5 that is
y plus y danceable
that is he asleep too similarly for less
than equal to 14 from here I add all the
values so this becomes this till here is
12 12 plus 3 that is 15 current Co plus
3 7 3 10 15 or 50 I had all this values
here it is 15 plus 3 18 comes 18 or 216
I have to add all these values o plus 3
7 3 10 14 14 and 3 17 plus file Wendy do
similarly for 70 I get 22 plus 799 and
480i get 29 plus 9 that is 58 or 98 38
Plus 745 and for 100 I get 45 plus 853
correct I want less than equal to 1 and
all the others I want less than or equal
to 80 I want all the others from here -
I got this valance now let me draw a
graph so I am drawing a less than paying
less than type Ravi you see I have 10
for the upper limit 10 the values are 0
to 10 this is fine 5 here less than 20
is 8 so let me put 8 here less than 30
it's 12 square less than 40 is 50 over
here 15 18 so we're here less than 60 is
again 22 somewhere here 70 is 29
stronger here less than 80 is 38
somewhere here less than 90 is 30 45
less than hundred fifty-three so if we
draw a graph like this what
this kind of correct
and now what is the value of n my 2n is
53 so n by 2 will be somewhere here 53
by 2 26.5 will be somewhere here you
draw a line parallel to this point a
parallel to x axis
it cuts somewhere here somewhere here
and this value C somewhere is normally
around 66 somewhere around 66 this one
so we can see that from this graph I can
say that the median is 66 almost 66 see
what I'm doing I draw a lesson digraph
then had to find a value of n by 2 and
from that point it draw a parallel line
this cuts this this rock at 66
so median is 60 correct hope this is
clear for less than they grab you to
find less than so I am saying less than
10 I got this value 5 less than 20 all
this value I got all the less than
Mallos for hit in the graph got n by 2
draw puppet parallel line a long line
from this n vital parallel to this
excesses it touches a graph at a point
and that is nothing but the median so we
can find the median using the graph less
than Tigra let us draw a more than Tigra
the same data again in this case you
defined so we have to say more than or
equal to 0 or net
or equal to zero this is ten okay Here I
am taking the lower limits please note
in the less than graph I took the upper
limits right less than 10 less than 20
hey I have a lower limits more than zero
more than ten more than equal to ten
more than or equal to 20
similarly 30 40 50 60 70 80 right max
time is 90 this guy more than equal to
nine so now the question is more than
zero how many values so for more than
sit where I take all this value by add
all this eight seven nine business I get
50 see that we have done in the last
example also if you add five plus three
plus four plus three the Percy let's
focus seven plus nine percent the same
spending fifty three I have to take more
than ten now so these values that is
from him TC subtract five that is 53 -
right it is 40 and talking about more
than 20 all these values so these two
every subtract right from 48 or subtract
three so what we ate - why because till
this point is forty a 48 here to this
point and from this we subtracting this
to get this values 48 minus 3 that is
what did fine now I want these values
more than 30 so for this angered a till
this is 45 from this you subtract 4 this
becomes working by u minus C way for 40
more than 40 till this is 41 from a it
is a prime 3 this becomes 40 1 minus 3
it is 30 now 450 more than 450 again
this point is 38 from this subtract 3
more than 60 again for this till here is
35 from Asian drag for now 70 till here
it is 31 from where subtract 7 or 80
you'll hear it is 24 from hey subtract 9
for 19 till here it is 15 actually right
from head least 15 so I'm here you
subtract 7 because this distance is 15
from here you subtract this guy 7 game
you get this values this becomes 15
minus then correct so this we have got
this is all more than more than or equal
to okay I have this values now let you
plot the graph for 0:53 please note its
it touches this point here now degree
then for 10 it is 48 then it is 20 it is
45 30 need is 41 what 40 it is 38 then
35 60 is a 31-7 he is 24 and 80 is 15
and 98 this is the graph I got declawed
are these points ninjas
so they take reflects correct I have got
this graph now again I have to find this
median what can I do
again from n by 2 that is n is 53 53 by
2 that is 26.5 so from somewhere here
if I draw a line like this it again if
you seek touches somewhere in 66 so we
can say that we didn't spend - so on
this graph also we can say mean is go to
successes correct the approach is you
can draw either more than type or less
than type then you draw you take this
point n by 2 and from this point draw a
line pile into exercise you get the
meaning also one more way to find median
is you draw both type example in this
case we have seen I am drawing this less
than time so let them try graph my was
something like this correct and more
than tight bra goes something like this
starting with the shakes you draw a bow
tie up graph the point where it meet so
in this case also if you see it meet
somewhere in near 66 the point where it
meet is a so they are two way to locate
a median first is either you draw the
normal either of the lower graph that is
more than type or less than type and
draw a line from n by 2 or you drop both
the graph in the midpoint is n way right
that does how you get the median over
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