Central Tendency, Median (Part - 2) - Statistics, Math, Class 11 Video Lecture

hello friends this video in statistics
part 2 is brought to you by exam fear
calm no more fear from exam before
watching this video please make sure
that you have most part one so so let's
suppose they are two students actually
this guy is wrong and this cute lady
will see them correct the question is
who studies move and the data given is
this guy studied five hours and four
hours in four hour than three hours and
five hours this was Monday Tuesday
Wednesday Thursday Friday Saturday and
Saturday
so on a particular week Ashley this was
the break-up given this guy started five
hours in one day for Tuesday for witness
day three ostrov's it was Friday five
hours Saturday in my arsenal so you know
did this lady is Steve Darcis study four
hours five hours two hours three hours
four hours four hours and five hours so
this data is given so this lady studied
these many hours for five two two three
three four five that's for Monday 5:00
on Tuesday 2:00 on Wednesday three on
Thursday or Friday on Saturday I mean by
oneself now the question is who studies
more going by dinner it's very difficult
to analyze because on one day this very
shut it wound on Tuesday this will be
shut it more weight legit this guy's
shot in more so as they seem
Friday this this guy shot in more I'll
just make it serpent the one who shot in
more this guy shot it more this guy to
remove this the equal this guy's not
anymore
this radition so if you see it's very
difficult to analyze so what we can do
here in this case we can find the matter
of me the one which has higher mean that
means that is anymore so if you find me
in the meat is nothing but sum of all
values there's a little called X I so X
I my the number so one two three
four five six seven there are seven
atoms so the N is seven and you add this
5 + 4 9 9 + 4 13 13 plus 3 16 plus 2 18
18 plus 5 plus 5 that is even best and
that is 28
it's come 28 by 7 it comes out to be 4
so this guy studies four hours for an
average per day she talking about this
lady Sita so to find the mean again we
need something about Sigma X I by n X I
is 4 + 5 9 + 2 11 + 3 14 + 4 18 + 4 22
plus 5 27 this is 27 by in this cell
this comes out to be something 3 point
at the gate so if you see this guy is
more than this that is 4 is 13.8 so I
guess since 4 is more than 3 point aid I
can see that ROM Studies is more than
see justice correct what I've done I had
data it was difficult for me to
interpret who is studying more what I
did was I found me not both Arita and
then I found the mean of first data that
is the ROM study is 4 and the mean of
Sita said is 3.8 and then with that
value I came to a decision that ROM
Studies more than sir this is very very
easy and practical example of
application off or the thematic mean in
real life where you have sign every time
you want to find who is studying moon
and then we used mean different who is
study let's say for example here is the
example of median please note the early
example was for me this examples for me
and this example we'll explain why do we
need median we can say that we have mean
and from mean we can find who studies
more why do we envision what is the
purpose of medium so this is for example
ready tell you what is the use of median
so now they are 1 2 3 4 5 we were
turning and we are asked to find who is
the middle guy
that means about the height if you
arrange them in ascending order who is
the middle guy this is major thing
correct with the middle name so what we
will do in this case we'll arrange the
same name in the ascending order so what
we'll do will cause this thing to come
here you know ask this guy to move so
now they are in ascending order
now then ascending it you'll see this is
one two three four five who's the middle
a middle guy is this actually sees a
middle lady so this person is the middle
way and this is where believe me geese
of median what we do we arrange data in
descending order
let me find out right example our
example we have Rita one three five and
seven correct now we have to find the
median of this what we'll do we'll
arrange first in the ascending order so
what do you get one two three five seven
and now what is the middle then this guy
is the middle then so this is my median
correct so median is used when you want
to find the middle line correct so what
is the advantage of median first thing
is media ignores the extreme values and
second thing is it has it a little
different purpose order it says what is
the point from where 50% of data is
lesser and 50-person realize for example
in this case one two three five seven
I say median is three correct so when I
say median is three that means from this
point 50% of the data is less and
fifteen it is so this is the point with
exactly divides the data correct also it
ignores the extreme values for example
I'll give you an example we have one to
the extreme value then you have 50 then
you have 51 correct then you have a
treat to and you have 53 and
could be four and let's suppose we have
zero so we have one two three four five
six seven dinner
correct now if you find the point of
median meaning will be somewhere which
is the middle that is this guy is the
median correct if you see the bunch of
beta is mostly around 50 51 so you can
say this is the median logical it makes
sense also all right suppose this is not
zero negative defy again in the last
case if we do is my median and that
makes sense also because 52 is somewhere
in the middle most often it is around 50
to 55 but now if I want to find the mean
they want to find the mean I see the
mean comes out to be thought to be 51
plus f21 not to the last 51 50 45
thought something almost what if I match
so you see this 45 if you see the mean
is 45 so 45 will be somewhere here but
this is not exactly what is showing the
middle of the data most of my data is 50
51 most of my data is actually greater
than 45 but the mean came out to be 45
why because it did not ignore the
extreme values what is my extreme values
correct so I mean it came out a 45 but
that is not exactly the central value so
in this case in the media and when I
find the median median may want to be
with me do that is my almost central
value correct so median he knows the
extreme value and it tells it has a
different requirement altogether of
example when I told that I want to
arrange the people in a particular high
I want the middle guy that means I want
the guy this is the a one where this
guys are sort of than him and guys on
this China Thorin
correct so this wave anyway so the
median has a different purpose on
together
it tells you the point from where the
fifty-first Nevada is lesser in 50
wasn't it is correct also it ignores the
extreme balance this is one of the
advantage off median now let's compare
mean and median if you see the media mix
ignores the extreme values and I just
discuss with media ignores the extreme
Alex and it tastes the point from where
50% of data is more and 50% it is less
importance equal importance to all dates
whether it is extreme values or normal
values it gives importance to or this is
the comparison of me and so now let's
understand what is the significance of
now the question is when we have mean
then we have median why do we need more
let me take a very real life scenario
these are the panel of students who
wants to decide most favorite teacher
they will decide who is the most
favorite teacher so they are student one
student already period here and one
Ostman e
we see the many they are five seconds
surround a thanks math teacher is the
bestest student B thinks the statistics
is the best itself students see things
again math which is the best teacher D
things English teacher is the best issue
and he thinks math is the best so if you
see
math is voted best by three people
physics by one and English by
Wow correct maths by three checks by one
Englishman so such kind of
everybody want to find who is the most
favorite or which is has the maximum
occurrences in that case we use more so
in this case neither median will help me
not mean will help me I have to use more
may like to find who is the most
favorite teacher so in this case I used
more what is it gives the maximum
occurrence of a particular body so in
this case the maximum occurrence is math
teacher so we can say that using mode we
found that math teacher is the most
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