Assumed Mean Method for Mean Video Lecture - Class 10

hello friends this video in statistics
part 5 is brought you by exam fear calm
no more fear from exam before watching
this video please make sure that you
have lost part 1 to part 4 the second
method which we have is assume mean
method as you mean method and this
method is also used to find the mean of
group data the first question is will it
give a different answer if I use direct
mean assuming to find me no you use any
method you use directly method as you
direct method or assuming method you
will get the same value of me the second
question that comes to our mind is when
we have direct me method and that is
very simple why do we need assuming
method the answer is sometimes in real
life what happens if the data is huge
the data is huge and difficult and
difficult to calculate because you have
millions of data it's difficult to
calculate because if you if you if you
have excise after you keep on adding it
that the number is very huge and that's
what we do is we use as you mean method
this method helps to find the mean
little easy the calculation is little
less cumbersome and then you have what
can do in this case in this case also
the first thing you do is you define X X
and I say is nothing but you have to get
the lower interval at the higher enter
below the class divide by 2 so once you
have the excise what you can do is it s
you one beam can assume that this is
going by looking at this figure itself
you can assume that this very is maybe
the middle value which you feel is the
me it means it should not be the exact
means you assume that mean then what you
do from X I you subtract that value you
get B is an issue your fi x I you've now
find F ideal and explain first let me
find and then use the formula summation
is nothing but a plus summation F I D by
F way I'll show you how it is simpler so
you see this is exactly the same exam
I wish we had last example but now I
will show you it is leading by X i we
have found in the last example also
knows I can find 10 plus 25 35 by 2 this
again 17.5 this is 25 plus 40 65 by 2
that is again 32.5 what D plus 55 95
value that is become forty seven point
five correct 70 plus 55 125 right that
is sixty two point five seventy plus 85
155 right that this seventy seven point
five and 180 plus 180 185 be bedroom
that is 92 point so you have all the
value of x I see if you see earlier we
have multiplied these two and we got a
very big figure in FA X I correct all
the figures they are big this was 550 is
for some poor and odd was 300 if you
multiply industry so now what we're
doing is assuming what mean civilians
you that this see to me I feel this is
the view
my gut feeling may be correct maybe
England I don't know as you mean I can
just assume because it start from 17 1:5
the man and the maximum value is mine
2.5 and somehow feels is the middle
value just my gut feeling I can take
this value also it will come the same
answer now I define di da is nothing but
x i- d that is 17.5 in this case minus d
it is forty seven point five this value
comes out will be minus happy
same ready here again 17 32 point five
minus value of T that is forty seven
point five this one comes out to be
minus 50 and this is what is 7.5 - what
is 7 point 5 that is 0 here it is sixty
two point five - forty seven point five
this guy came out by 15 this guy is
seventy seven point five minus four to
seven point five and is like it will be
30
and this way is ninety two point five -
forty seven point five and this guy came
out to be 45 I got the value of D is now
I have to fight fi da s I have to take
this values in order to multiply with
this guy so - thirteen - to is how much
- 60 - of energy - forty five seven two
zero zero 50 into 6 is 19 30 into six is
180 in 45 min to see since again so if
you see this valve as a nod that big
actually 0 - 60 90 180 not that big an
earlier it was 550 for 30 C 17 all big
rebalance number others less and now you
want to fight the fi da same I should
also add these values you get 435 this
value also is not that big early it was
a big valuation this 1000 now the value
is less and here's here off of the
summation is 30 only the number of
students we had two different frontier
so what I wanted we got here you see the
calculation is little simple the
multiplication earlier we multiplied
these values that 92.5 into say seventy
seven point five to six now we are
multiplying 30 into six zero into seven
- brain - three these values are less
Sigma fi da also came out to be less the
calculation part if you see I need to
handle smaller data I'm not handling big
big data I'm handling smaller item now
I'm using the formula a + fi di by Fi so
here what is the value of e assuming was
forty seven point five that is forty
seven point my plus Sigma fi di is 435
my Sigma F is thirty good you solve this
this becomes forty seven point five plus
four thirty five per 30 is fourteen
point five and this comes out to be 62
so you see an earlier process also an
earlier method also the value we got was
sixty-two that a 62 was a mean for this
data and now so what we are getting is
62
the only advantages with this my details
little easier to maintain correct so
this is one advantage op assumed win
method where it is easier to maintain
the data if you have huge data it makes
sense to use as you mean if you have
very small data it does not make sense
to use as you'll be because in that case
the direct method also you can get
answer very easily but in case the data
is very huge you have millions and
billions of data you can use it as you
thank you visit exam viacom to watch
free education videos try free online
tests get the best quality study
materials study from the best tutors and
mentors and much more thanks and serene