Examples: Mean, Median and Mode(Part- 2) Video Lecture - Class 9

hello friends this video on statistics
part 15 is brought to you by exam clear
calm no more via from exam so let us
take some numerical to understand the
calms concepts mode small factory there
are five employees supervisor and
therefore laborers and the laborer is
draw a salary of 5000 per month
supervisor draw a salary of 15,000 per
month we have to find the mean median
and mode of this subject
si means what you add all the salary
divided by number of the employees so we
have five thousand for one labor five
thousand on the level
I cover on another level five thousand
four hundred eleven plus fifteen
thousand for supervisor you add all
these divided by five what you get is
two eight twenty eight thousand divided
by five 20:45 one two two twenty thirty
five thirty five thousand divided by Phi
correct that is nothing but
7,000 7,000 is the mean salary okay if
we talk about median let's arrange Rita
so data will be what 5,000 5,000 5,000
5,000 and 15,000 so what is the medium
central number that is 5,000 what is the
mode maxime occurrences five thousand
four times so mode is also five okay it
actually helps remember they want to
find the average salary of the company
one person is getting one lakh per month
but the other people are getting five
thousand right so if you want to find
what is the range of salary we will draw
one person getting one
bees it'll change the whole mean value
but if you want to find the media and
the media will tell you actually okay or
more will tell you okay what is the
salary
most people get so that is a better
tendency that's a better data to
interpret at least in that scenario the
following numbers of the goals were
scored by a team in the series of ten
match here to find mean median score Ron
in his pretty simple had all numbers 2
Plus 3 plus 4 plus 5 plus 0 plus 1 plus
3 plus 3 plus 4 last 3 divided by so you
add all this you get 28 by 10 that is
2.8 that is the mean score for median
let's put in the ascending order 0 1
then we have to only ones then we have
three one two three four times one two
three four times and we have four two
times and then we have five one times
okay so what is the median for median
since they are ten data one two three
four five six seven eight nine ten so we
don't take fifth and six one two three
four five and six because it is a even
number but again mean on this three plus
3x2 orthotist Lee so median is three but
as more mode is maximum occurrence and
you will see that number three occurs
four times it is a maximum so mode here
is also three okay
a cellular is equation mathematics test
given to 15 students amounts are given
redefined me and medium hate so for mean
just add all these data 41 last 39 plus
48 plus 52 plus 46 plus 62 plus 54 plus
14 plus 96 plus 52 plus 98 + 40 + 42 +
52 plus 60 all this data and then there
are 15 students divided by 50 so you
solve this you get a 22 by 15 that is
fifty four point eight is the mean now I
have to find median and mode for that
let's arrange what is the minimum score
I could see is 39 39 do we have 40
yes 41 - we have 41 yes one what it -
yes we have 143 you don't have 44 we
don't I have 45 46 we have 47 we don't
have what the eight years we have 149
you don't have to be you don't have 50
150 do we have to redo do you think we
have a loan t32 is thrice and 53 and we
don't have 54 we have 55 you know so we
are remaining with 60 62
let's take 60 and 60 - 60 and 62 and
96-98 done with the data and they are 15
student so I take the 8 number as the
center 1 1 2
four five six seven eight this guy is
the median because 15 is our data right
so you take 15 plus 1 by 2 that is 16 by
2 that is 8 number if you talk about the
more if you see the 52 offers thrice so
more will also be 52 see in the real
world if you see median mode and mean
all the data almost same if you see here
in this case median and mode is same and
mean is also almost same 854 point 852
almost same value that is how you see
why because all these three represents
the central tendency of the return that
normal data you will see that all these
things are almost thing but they are not
dependent on each other there there's no
guarantee that they will they have to be
seeing they will be different as well so
the following observations have been
arranged in ascending order in the
median number EDA is given median is for
what central numbers 1 2 3 4 5 6 7 8 9
10
they have 10 numbers so we have to what
time be able to take 5th and 6th and
find the mean you know the 5th to the
6th hour for median will be what mean of
finish number plus 6 number and that
value is given 63 so 2x plus 2 is 63
into 2 that is nothing but 126 or 2x is
124 or X is equal to nothing but 16
that is asked so X the value of x to be
easy I mean they have given the data in
the ascending order and they have told
that the median is they'll find the
value of x you know that the median is
nothing but in the case where we have
even number of it huh the median is
nothing but and by 2 and then by 2 plus
1 the mean of each data so n by 2 that
is fifth time is X n by 2 plus 1 3 6
times X plus 2 we do kameen of these and
we form be evaluated I mean we we have
told that this level something about 63
even and with that we could actually try
in the value of x to find the more of
this data to find the mode first we have
to arranged in ascending order so
minimum is 1414 comma x one two three
four one two three four then we have
2018 sorry 17 we have one x then we have
18 one two three okay and then we have
22 23 25 28 okay that's up so you see to
find the mode mode is what maximum
occurrence we will see that 14 offers
four times 17 others one times eight you
know occurs three times with all these
values are correct one times so the mode
is putting DZ find the means a V of 60
workers so it is the data is given 16
workers get the salary or three thousand
twelve four thousand ten five thousand
eight get 6,000 each six kids seven
thousands our religion and the whole
table is even here to find the means as
we know that V is nothing but Sigma H by
6 I by Sigma F I so let's find Sigma fi
if it is Fi
it is excise let's find f IX I first so
three thousand and two sixteen but forty
eight thousand twelve into four is what
what do you does 10 into five thousand
one two thousand eight into six is what
what do you eat frozen 6 into 7 2008
into four is what the reduces 3 into 9
is about 27,000 tending to 1 is what
they thought if you add all these
numbers what you get is please defying
father so as per the formula meaning
nothing but Sigma fi X I that is V 0
5000 my Sigma F find that is if you add
is you get 16 and that is nothing but 5
0 8 3 morning there's five thousand
eighty three rupees 33 paralyzer means
are they of these 60 workers okay give
an example in which the mean is
appropriate meaning is not appropriate
median is appropriate and the modes are
properly see I told mean is all about
average nature if you have on it is on
automatic so and mean and median
actually ignores the extreme balance for
example if you want to see the
performance of the player so in that
case we go for medians right mean is
where all data is important for have a
sounding of the employees median is
where the extreme values are equal
example of performance in some extreme
scenarios we can ignore and more bills
where we want to know the most frequent
eight most favorite teacher most
frequent website most frequently visited
website like that okay they told extreme
values are ignored for example
performance that is median so once again
mean we're already is important have a
salary of the employees average sales
the company is stuff like that
more where you want to know most
frequent data most favorite teacher most
favorite subject and we here's where the
extreme values can be known to be the
performance per team the company player
let's do a quick summary facts or
figures collected with definite purpose
is called data what is data he does not
even facts or figures collected with
some totals statistics is nothing but
study which deals with presentation
paralyzes and interpretation of data
we've shown you how to present data C
bar charts we told you how to analyze
the rate and how to interpret data as
well okay and we have studied how the
data can be presented graphically the
form of parabola histogram and frequency
polygon so all these the type of
graphical representation you have
studied so we have also studied that
they are three measure to the three B's
to measure the central tendency of data
it does mean median and mode ain't so
mean
there's where all the values are
important median where we take the
middle most observation we ignore the
extreme values and mode is where we talk
about the most frequently occurring
observation thank you visit our website
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