Graphical presentation — Transcript
Full transcript
- 0:00[Music]
- 0:08[Music]
- 0:14hello learners i am dr subhani working
- 0:16with india gandhi national open
- 0:18university in school of management
- 0:19studies
- 0:20and today the topic which i am going to
- 0:22talk is on uh is on a very contemporary
- 0:25topic that is graphical representation
- 0:27we have a very series of discussion
- 0:29related to data and
- 0:31how the data is going to you know
- 0:33represent in the text format
- 0:35now we are going to talk something more
- 0:37over and over to that which talks about
- 0:39that how we are going to
- 0:41represent the data in a diagrammatical
- 0:43manner so when we are going to present a
- 0:45data in a in a visual manner i think
- 0:49there are two ways by which we can do
- 0:51the presentation that is the
- 0:52diagrammatical presentation and the
- 0:54graphical presentation so already we
- 0:56have a very very elaborative session
- 0:58which talks about you know the
- 0:59diagrammatical presentation where we
- 1:01have talked about you know the pie chart
- 1:03the bar chart one dimensional two
- 1:06dimensional and lot of you know
- 1:07varieties of ways by which you know the
- 1:09data is going to be presented in a
- 1:11diagrammatical manner so this is one of
- 1:13the sequel to that and here we are going
- 1:15to talk more about you know the
- 1:16graphical presentation of data which is
- 1:18quite meticulous as far as the research
- 1:21is concerned as far as the statistics is
- 1:22concerned so anyway
- 1:25before going into the depth of this
- 1:26topic i just want to throw a light what
- 1:29exactly the research methodology and
- 1:30statistical analysis is you know this is
- 1:33part of our m com program
- 1:35and this is a second year course and
- 1:37exclusively talks about you know the
- 1:39methodology and the statistical analysis
- 1:41which we are going to use because in
- 1:43today's scenario research and statistics
- 1:45is is a very contemporary term because
- 1:48with the help of this you know you can
- 1:50able to visualize many things so already
- 1:52we have covered somewhere around 13 to
- 1:5414 lectures if you recalculate yourself
- 1:57you will find out we have a very
- 1:59elaborative sessions on research we have
- 2:00a very elaborate sessions on data
- 2:02collection
- 2:03sample measurement of screen techniques
- 2:05because why am you know just
- 2:06recapitulating in every session about my
- 2:08preceding terms because when you talk
- 2:11about the research when you talk about
- 2:12the statistics there is a great use of
- 2:13all these terms
- 2:15it's not like that that we have used the
- 2:17term at one step and and you know we are
- 2:20not going to get the reference of that
- 2:22but when you are going to
- 2:24going to the depth of of you know
- 2:26recapitulating yourself or using the
- 2:28statistics i think these terms are quite
- 2:30burdening in nature and have a you know
- 2:33good presence when you are using in as
- 2:36far as the methodology is concerned as
- 2:37far the analysis is concerned so anyway
- 2:39we have already covered the first block
- 2:41which was focusing on the research and
- 2:42data collection and the second block
- 2:45uh is more talking about you know the
- 2:47processing of data and how you're going
- 2:49to preserve the data so while you know
- 2:51preserving the data or you know the
- 2:52processor data there are certain modus
- 2:54operandi which we have to follow and
- 2:56this diagrammatic presentation is one of
- 2:58the important ingredients which we have
- 3:00already covered and talk about how we
- 3:02are going to present the data in a in a
- 3:04visual format so already we have a very
- 3:07innovative session very
- 3:09thought provoking sessions and now we
- 3:11are just focusing on the graphic
- 3:12presentation of data this is
- 3:14if we go more into the depth of this
- 3:16graphical representation i think
- 3:19graphical representation of data is
- 3:21nothing but a chart in which data is
- 3:23represented by symbols such as bars in
- 3:26bar chart lines in line chart or slices
- 3:28in pie chart so in our preceding session
- 3:31we have seen that how the diagrammatic
- 3:32presentation is governed when we are
- 3:34going to talk about all those aspects
- 3:36and these are you know converted into
- 3:38one dimensional two-dimensional
- 3:40three-dimensional so anyway a data chart
- 3:42is a type of diagram a graph that
- 3:44organizes and represents a set of
- 3:46numerical or qualitative data we have
- 3:49already talked about quantitative data
- 3:51and
- 3:52qualitative data so this data chart is
- 3:55type of diagram or graph that organizes
- 3:57and represents a set of numerical or
- 4:00qualitative data so
- 4:02in our preceding session i have as i
- 4:03have talked about we have talked about
- 4:05bar circles rectangle squares and
- 4:08certain maps also like flow charts and
- 4:10other thing
- 4:11but here we are just concentrating on on
- 4:13a different kind of diagram so if you
- 4:16see this particular chapter you know
- 4:18which is known as unit 7 and the heading
- 4:20of the chapter is diagrammatic and
- 4:21graphical presentation which starts with
- 4:23you know the diagrammatic presentation
- 4:25and the first you know the ingredient of
- 4:27this is rules for preparing diagrams
- 4:29that we have already talked about and
- 4:31there are certain types of diagrams you
- 4:33know one dimensional bar diagrams
- 4:35known as simple bar diagram multiple bar
- 4:37diagram and subdivided bar diagrams so
- 4:41already we have talked about it pi
- 4:42diagrams and then structure diagrams
- 4:45like you know organizational chart of
- 4:46flowchart the example which we have
- 4:48quoted about you know certain
- 4:49organizations which have a hierarchy of
- 4:51people starting from your top level
- 4:53middle level and lower level how this
- 4:55hierarchy is going to be you know depict
- 4:57when we are talking in terms of chart so
- 4:59this organizational chart is very
- 5:01important then we have a flow chart so
- 5:02flowchart is working as a decision tree
- 5:05where you try to do certain things for
- 5:08if you do that yes is there and if you
- 5:10know you move on to the different
- 5:12so certain options are going on so
- 5:14anyway we have we have covered all those
- 5:16things now we are just concentrating on
- 5:18graphical presentation and
- 5:20this graphical presentation is is the
- 5:22innovative way of presenting the thing
- 5:24it could be in the form of ogive in the
- 5:26form of histogram or you know the
- 5:28frequency polygons or you know other
- 5:30ways that we are going to talk about in
- 5:32a in a coming slides and then we have
- 5:35graphs of time series which talks about
- 5:37graphs of one dependent variable and
- 5:39graphs of more than one dependent
- 5:40variable so this is a very important
- 5:42ingredient because
- 5:44as far as you know the graphs of time
- 5:45series series is concerned it's it is
- 5:47just focusing on graphs of one dependent
- 5:49variable in graphs of more than one
- 5:51dependent variable then you have graphs
- 5:54of frequency distribution where
- 5:55histogram
- 5:56fall frequency polygon and cumulative
- 5:58frequencies curves are taken care so
- 6:01anyway we start with our discussion and
- 6:04we know that you know the visual
- 6:05presentation have a great impact
- 6:07and if you talk in a present scenario i
- 6:09think we are moving one step ahead to
- 6:11that and
- 6:12we are not only you know visualizing the
- 6:14presentation but also animated in the in
- 6:16the video format so this is one of the
- 6:18new ways which are coming in the in the
- 6:20present circumstances
- 6:22and this is going to bring a nation the
- 6:26statistics word or in the research
- 6:28methodology word so so we have discussed
- 6:30about one of the techniques of visual
- 6:31presentation of data that is
- 6:32diagrammatic presentation
- 6:34and we appreciate that how such
- 6:36presentation eliminates the dullness of
- 6:38data because when you talk about you
- 6:40know
- 6:41the
- 6:42the data analysis in a vis-a-vis you
- 6:44know the text manner i think somewhere
- 6:46you know unless is there the monotony is
- 6:48there so
- 6:49when you are talking in terms of
- 6:50presentation in a visual manner it's
- 6:52more interesting and helps in comparison
- 6:55between two or more frequency
- 6:56distributions so this is something which
- 6:58is which is going to play a very
- 7:00important role because the role of the
- 7:01frequency comes in between now we will
- 7:04study another important technique and
- 7:06which is known as graphical presentation
- 7:07and
- 7:09if we take example of this graphical
- 7:11representation i think stock index
- 7:13cricket score production trends that is
- 7:16in various magazines or in television we
- 7:18have we have observed that things are
- 7:19going on and right now you know there
- 7:20are certain blogs and and
- 7:23statistical you know with annual reports
- 7:25which are floating on the website can
- 7:26also be the example of that so everybody
- 7:29respect is irrespective of whether he or
- 7:31she is a layman or an expert has a
- 7:33natural fascination for
- 7:35appropriate graphical presentation of
- 7:37data which remains an essential part of
- 7:38research mythology i have already quoted
- 7:40about that the graphical
- 7:43presentation of data leaves an impact on
- 7:45the mind of the readers that is very
- 7:46true because
- 7:47because when you when you
- 7:50float certain things through text i
- 7:51think there are certain monotony and
- 7:54gigantic due to gigantic shape of data i
- 7:56think it's really a cumbersome for the
- 7:58for the for the individual to you know
- 8:01extract the information from the text so
- 8:03when you when you make a graph and you
- 8:05make a pie chart by bar chart or you
- 8:07know the graphic representation i think
- 8:09somewhere you know
- 8:11you are
- 8:12your your presentation part is quite
- 8:14good so this graphical representation
- 8:16encamp has a wide variety of techniques
- 8:19that are used to clarify interpret and
- 8:21analyze data by plotting points and
- 8:23drawing line segments surfaces and other
- 8:25geometric forms of symbols we are going
- 8:27to you know talk about all those things
- 8:29and the purpose of the graph is rapid
- 8:31visualization of data that is very true
- 8:33a choice among graphic techniques also
- 8:35depends on the proposed use to which the
- 8:37chart will be put into it so these are
- 8:40the you know the graphical presentation
- 8:42which is which is only present in the
- 8:43present scenario that is lawrence curve
- 8:45histogram frequency polygon frequency
- 8:48curve and ogive so and all these you
- 8:50know comes under the embed of called the
- 8:52graphs of time series why we are coding
- 8:54the time series because time series the
- 8:56set of values of a variable or variables
- 8:59arrange over a period of time so that is
- 9:01the reason you know we have used the
- 9:03heading called graphs of time series and
- 9:06there are certain examples related to
- 9:07that the data relating to the production
- 9:09sales expenditure exports
- 9:11during the last 10 years and the graph
- 9:14of time series is prepared to show the
- 9:15values of one or more than one variables
- 9:17over a period of time so this type of
- 9:20graphs are also termed as a time graphs
- 9:22or histograms because history is
- 9:24represented graphically so that is the
- 9:26reason you know the time series when we
- 9:28talk about the time series we talk about
- 9:29the the past records and the past
- 9:32history so 10 year down the line we
- 9:33prepare any chart so
- 9:35histograms is is known as is one of the
- 9:38examples to that and these graphs are
- 9:39helpful in studying the changes over a
- 9:41period of time and forecasting so on the
- 9:43basis of the past record and the present
- 9:45trend we forecast so
- 9:48this is the beauty of histograms and can
- 9:50be constructed in two ways on a natural
- 9:51scale that is arithmetic scale and on a
- 9:54ratio scale so in natural scale you know
- 9:56the graph reflects the changes in
- 9:58absolute values over a period of time
- 10:00whereas a ratio scale
- 10:02graph reflects the relative changes over
- 10:04period time so
- 10:05in this presentation however we study
- 10:07the histograms on natural scale which is
- 10:09generally used in business research
- 10:11because as far as our paper is concerned
- 10:13this is
- 10:14this research mythology paper is for the
- 10:15masters of commerce student and there's
- 10:17a great use of you know how the business
- 10:19trend is changing and how certain new
- 10:21trends are coming up so this histogram
- 10:23is going to play a very vital role when
- 10:25you are going to
- 10:28work on the time series manner so now
- 10:30the question is come that when to use
- 10:32histogram so
- 10:33we are going to use the histogram when
- 10:35the data are numerical that is very true
- 10:37and a lot of mathematics are involved
- 10:39and you want to
- 10:41see the shape of the data distribution
- 10:42especially when determining whether the
- 10:44output of process is distributed
- 10:46approximately normally that is that is
- 10:48required and analyzing analyzing whether
- 10:51a process can meet the customer
- 10:53requirements so
- 10:54that is more important you know if if
- 10:56the customer requirement or you know the
- 10:58respondents requirement is not going to
- 10:59fulfill i think
- 11:01your analyzing process is not going to
- 11:03work out so whatever you are going to
- 11:05analyze is
- 11:07as you know based on the output for the
- 11:09supply process looks like and whether
- 11:11process change has occurred from one
- 11:12period to another period that also need
- 11:14to be required if they if there could
- 11:16not be any change
- 11:17in the in the in the preceding years or
- 11:20in the present years i think then there
- 11:22could not be any competitive view so
- 11:24determining whether the output or two or
- 11:26more processes are different so what i
- 11:29mean to say
- 11:31we have to communicate the distribution
- 11:33of data quickly and easily to others so
- 11:35that is the reason you know there are
- 11:36certain statistical analysis which need
- 11:38to talk about all those aspects so when
- 11:40you are going to talk about the graph of
- 11:42one dependent variable
- 11:43when there is only one dependent
- 11:45variable the values of the dependent
- 11:46variable are taken on y axis while
- 11:49the time is taken on x axis so we will
- 11:51see how the you know this this statement
- 11:54is going to be interpreted with the help
- 11:56of certain you know the figures which we
- 11:58are going to we will study the
- 12:00certain examples and try to understand
- 12:02the methods of construction for one
- 12:03dependent variable histogram so
- 12:05so and there and there is another term
- 12:08called false baseline so false baseline
- 12:09is a device
- 12:11leading to graphical presentation this
- 12:12line is used to break the continuity of
- 12:14y axis with the origin and false
- 12:17baseline is used when figures start with
- 12:19high values if we maintain continuity of
- 12:21the value from the origin then
- 12:23sufficient portion of the grass would go
- 12:25waste so what we have observed that this
- 12:27false baseline is
- 12:30is working as a device and is related to
- 12:32the graphical presentation and
- 12:34this graphs of frequency distribution if
- 12:36we talk about you know we have seen in
- 12:38our preceding lecture or in the
- 12:40presentation that frequency distribution
- 12:42are you know explained with the help of
- 12:44tables and these frequency distributions
- 12:46are also presented in the forms of
- 12:47graphs and that is you know the the
- 12:50beauty of because when you talk about
- 12:52the frequency distribution i think the
- 12:54data size is quite high and such graphs
- 12:56can can give a better understanding and
- 12:59provide illustrative information to
- 13:00readers
- 13:01then the data in tabular form so when
- 13:04you have a data in tablet format i think
- 13:06the data size is quite high you have
- 13:07multiple rows multiple columns and
- 13:09you're not going to interpret what best
- 13:11can be done but if that if the same
- 13:13table you know can be governed with the
- 13:15help of certain charts or certain graphs
- 13:18i think very easily you can interpret
- 13:20what what what exactly you are expecting
- 13:22from that particular image so it is true
- 13:24that effective graph can
- 13:26can markly increase the reader's
- 13:27comprehension of complex data sets
- 13:30and when you compare with the table
- 13:31graphs of frequency distribution are
- 13:32helpful in identifying the
- 13:34characteristics and relationship of the
- 13:36data and this relationship is more
- 13:38important that how the trend is going to
- 13:40change if we if we take our
- 13:43you know the chart of 5 to 10 years down
- 13:45the line very easily we can interpret
- 13:47that what could be the future of that so
- 13:49these graphs are useful in locating the
- 13:51position averages such as mode median
- 13:53and qualities etcetera we which we have
- 13:55already covered in measure of center
- 13:56tendency we have seen that in measure of
- 13:58center tendency how this
- 14:02this mean median mode is going to be
- 14:04taken care so in a continuous frequency
- 14:06distribution there is a class limit mid
- 14:08values are taken on y axis or on x axis
- 14:11and the frequency on the y axis so the
- 14:14vertical axis which we usually call the
- 14:16y axis is not broken thus the false base
- 14:18line cannot be taken so a frequency
- 14:21distribution if we talk about can be
- 14:23portrayed by means of histogram
- 14:25frequency polygon agile curve and
- 14:27scatter diagram so these scatter
- 14:29diagrams which we are going to take with
- 14:31the help of certain examples in our
- 14:32coming sessions and you will find out
- 14:34that there is a great use of scattered
- 14:36diagram but here we are going to start
- 14:38with certain you know the graphical
- 14:40presentations and histogram is one of
- 14:42that
- 14:43and it's it's part of the time series
- 14:44and histogram is an approximate
- 14:46representation of the distribution of
- 14:48numerical data it was first introduced
- 14:50by karl pearson that is
- 14:52and and these frequency distributions
- 14:54shows how often each different value in
- 14:57set of data occurs
- 14:59and histogram is the most commonly used
- 15:00graph to show frequency distributions we
- 15:02will when we will take certain examples
- 15:05we see that how it is quite important it
- 15:07look very much like a bar chart but they
- 15:09are important difference between them
- 15:11because when we talk about the bar chart
- 15:13there's a gap between two bars but when
- 15:15you talk about the histograms histograms
- 15:17are
- 15:19are you know
- 15:20linked with one another the bars are
- 15:22attached with one another without any
- 15:24gap so when we will take certain
- 15:26examples we will see how important it is
- 15:28so histogram meaning can be stated as a
- 15:30graphical representation
- 15:32that condenses that data series into an
- 15:35easy interpretation of numerical data by
- 15:37group grouping them into logical ranges
- 15:39of different heights which are also
- 15:41known as bins
- 15:42and a histogram is used to display
- 15:44continuous data in a categorical form so
- 15:47this is a usp of of this histogram and
- 15:52and if we if we talk about how to create
- 15:55a histogram that is something because
- 15:57there are certain parameters which one
- 15:59has to follow and if we go more into the
- 16:01depth of it you will find out that how
- 16:03the things are going to be calculated so
- 16:04if we are going to create a histogram i
- 16:06think to construct a histogram the first
- 16:09step is to
- 16:11bin or bucket the range of values that
- 16:13is divide the entire range of values
- 16:15into a series of intervals and then
- 16:17count how many values fall in each
- 16:19interval the the bins are usually
- 16:21specified as consecutive non-overlapping
- 16:23intervals of a variable so
- 16:26we have we have seen that you know for
- 16:28two you know the two is the score and
- 16:30the frequency is three
- 16:32three is the score frequency is seven 7
- 16:364 is the score frequency is 2 so 6 is
- 16:39the score frequency is
- 16:415. so this is the in this manner you
- 16:44know we have we have plotted the
- 16:46histograms and you see what is the
- 16:48impression behind that that
- 16:50that you know the initially we are
- 16:53gradually we are going up then going
- 16:54down then after certain time then again
- 16:57go up and then go down so this is the
- 16:59model so there are certain facts and
- 17:00figures related to histogram
- 17:02now the question is that is histogram is
- 17:04a qualitative or quantitative pie charts
- 17:07and bar diagrams are used for
- 17:08qualitative data that is very true we
- 17:10have already seen that
- 17:12and histograms similar to bar graphs are
- 17:14used to
- 17:16for the quantitative data line graphs
- 17:18are used for qualitative data scatter
- 17:20graphs are used for quantitative data so
- 17:23if you talk about you know this bar
- 17:25chart and pie chart they are more
- 17:27qualitative in nature where histogram is
- 17:28more quantitative quantitative in nature
- 17:31so how to interpret the shape of the
- 17:33statistical data in a histogram
- 17:35we have seen that you know this
- 17:37symmetric is there then skewed light is
- 17:39there and
- 17:41and when we go more into depth of
- 17:43symmetric i think the histogram is a
- 17:45symmetric if you cut it down
- 17:47the middle in the left hand and right
- 17:48hand side resemble mirror image of each
- 17:50other that is very true and skewed right
- 17:53histogram looks like a lopsided mound
- 17:55with a tail going off to the right
- 17:57so and
- 17:59there are certain examples of the skewed
- 18:00left also so what does the shape of a
- 18:02histogram tell us so it's a bi model we
- 18:05have already talked about you know in
- 18:07in in mode when we are going for the
- 18:09mode we have seen that how the bi model
- 18:11and multi model works the bi model shape
- 18:13shown below has two peaks if this shape
- 18:16occurs the two sources should be
- 18:18separated and analyzed separately
- 18:20and this is the manner and and some
- 18:22histograms will show a squee
- 18:24distribution to the right as shown in
- 18:26below and what we have seen that you
- 18:28know if you see this particular image
- 18:30you will find out that that how the
- 18:32histogram the rivals are there the
- 18:33frequency is at the at one axis and i
- 18:36was at
- 18:37different and then we have plotted the
- 18:39histograms so now there this is another
- 18:42way of explaining the histogram
- 18:43distribution of randomly generated
- 18:45numbers
- 18:46where we have seen that how the
- 18:47histogram is going to create it but
- 18:49the good part of the histogram is that
- 18:52that all the bars are are
- 18:54attached with one another there is no
- 18:55gap between the two bars whereas in
- 18:58when bar chart you will find out that
- 19:00there is a gap between the two so this
- 19:03is the difference between the histograms
- 19:04and bar chart and you see that how the
- 19:06gaps no gaps are there whereas you know
- 19:09in bar chart you will find out the gaps
- 19:10are
- 19:11there so anyway now we are going to talk
- 19:13about another types of
- 19:16graphical
- 19:17presentation that is frequency polygon
- 19:20and when you go more into depth of
- 19:22polygon i think its many angle diagrams
- 19:25so this is another way of defecting a
- 19:26frequency distribution graphically
- 19:29it facilitates comparison of two or more
- 19:31frequency distributions so frequency
- 19:34polygon can be drawn either from the
- 19:36histogram or from the given data
- 19:38directly so you have got varieties of
- 19:40way and if you see this particular image
- 19:42you will find out that that histogram is
- 19:45is this and frequency polygon is is this
- 19:48that in the same
- 19:49in first we have plotted the histogram
- 19:52and gradually after plotting the
- 19:53histogram we have taken the midpoint of
- 19:55each bars and then plot a frequency
- 19:58polygon so this this bar is nothing but
- 20:00a histogram which is attached with one
- 20:02another whereas on the whereas frequency
- 20:04polygon is just the midpoint of that bar
- 20:07and and dot is the representation and
- 20:10gradually we have seen that how we have
- 20:12plotted this so
- 20:13ah so what we what we keen to say that
- 20:16when we talk about the cumulative
- 20:17frequency curves sometimes we are
- 20:20interested in knowing how many families
- 20:21are there in the city or we can take
- 20:23certain examples whose earnings are less
- 20:25than twenty thousand per month who's
- 20:27earning a more than you know thirty
- 20:28thousand per month so in order to obtain
- 20:30this information we have
- 20:32first of all to convert the ordinary
- 20:34frequency table into cumulative
- 20:36frequencies when cumulative frequency is
- 20:38going to be added you know with the help
- 20:40of certain numbers which can be added so
- 20:43if
- 20:44the if in the
- 20:46table we have got two
- 20:48ways and frequency is general so
- 20:50cumulative frequency is the addition of
- 20:52the existing one and the preceding one
- 20:54so we add we get the cumulative so next
- 20:56could be added of that
- 20:57so when the frequency is added they are
- 20:59called cumulative frequencies and the
- 21:01curves obtained from the cumulative
- 21:02frequencies are called cumulative
- 21:04frequency curves properly known as
- 21:06ogives so there are two types of ogives
- 21:08we have
- 21:10we are going to talk about in a more
- 21:11elaborative manner and if you if you see
- 21:14this so these ogives are are you know
- 21:18start with the upper limit of each class
- 21:20and the cumulative starts from the top
- 21:22so when these frequencies are plotted we
- 21:23get less than oh so they are less than
- 21:26aji and they are more than ogi so
- 21:29and if you go more into depth of the ogi
- 21:31these objects are useful to determine
- 21:33the number of items a number below a
- 21:36given value it is also useful for
- 21:37comparison between two or more frequency
- 21:39distributions and to determine certain
- 21:42values like you know the positional
- 21:44values such as mode
- 21:46median quartile percentile etcetera
- 21:48because we have we have seen that that
- 21:51that when you talk about the measure of
- 21:53central tendency this mode median r
- 21:55seems to be the positional values
- 21:58because with the help of there is
- 22:00no
- 22:01you know impact of the outliers and if
- 22:03the when you talk about the mode the
- 22:05number which repeated maximum number of
- 22:07times we have already have a very
- 22:08elaborative session on measure of
- 22:09central tendency
- 22:11which are considered to be the mode and
- 22:13medium is the middle number so so what
- 22:15we have observed that you know an ogi
- 22:17sometimes called a cumulative frequency
- 22:19polygon is a type of frequency polygon
- 22:22that shows cumulative frequencies so in
- 22:25other words the cumulative percents are
- 22:27added on the on the graph from the left
- 22:29to right and ogi graph plots cumulative
- 22:31frequencies on the y axis and class
- 22:33boundaries along the x axis so the hive
- 22:37for the normal distribution resembles
- 22:39one side of an arabesque or ogivel arc
- 22:43which is
- 22:44likely the origin of its name so if you
- 22:46see this particular image you will find
- 22:48out that how we have plotted the odais
- 22:51and this is the manner you know the guys
- 22:53are going to be
- 22:56developed in a particular image so
- 22:58there are certain differentiation
- 23:00between less than and more than agile so
- 23:02in this objective you know the
- 23:03frequencies are added starting from the
- 23:05upper limit of the first class interval
- 23:07of the frequency distribution and
- 23:10in this agile the cumulative total tens
- 23:12is going to be in a screen increase mode
- 23:14and when you are going to talk about you
- 23:16know the more elaborate manner about the
- 23:18lesser know drive the plots the points
- 23:20with the upper limits of the class as
- 23:23abscissa and the corresponding less than
- 23:25cumulative frequencies as ordinates
- 23:28so
- 23:29these points are joined by freehand
- 23:31smooth curve to give less than
- 23:32cumulative frequency curve or the less
- 23:34than the ogive so this is example of
- 23:37less than oji and when you go and talk
- 23:40more about the more than typogy it is a
- 23:42graph drawn from lower limits and
- 23:44cumulative frequencies of a distribution
- 23:46and when we are going to mark the points
- 23:48with the lower limit and x coordinate
- 23:50and corresponding cumulative frequency
- 23:53and y coordinate and gen
- 23:55and then when we are going to join them
- 23:56by freehand smooth curve this type of
- 23:58graph is accumulated as downward so
- 24:01what we have observed that you know this
- 24:03ai is also quite important and uh when
- 24:07and there are certain you know
- 24:09the time when when we are making a
- 24:11graphical presentation this histograms
- 24:13and ojai is very important but on the
- 24:14other hand the lawrence curve is also
- 24:16one of the way of graphical
- 24:19representation of income equality of
- 24:21wealth equality
- 24:22and this was developed by the american
- 24:24economist called max lawrence in
- 24:261905 and the graph plots percentile of
- 24:29the population on the horizontal axis
- 24:31according to the income of wealth so
- 24:33what we have seen from this particular
- 24:35image that that we bifurcate this whole
- 24:38whole rectangular box and from the from
- 24:41the mid from 0.0 and then you know this
- 24:44considered to be the line of equality
- 24:45and orange curve supposed to be moving
- 24:48that way so this red line is considered
- 24:50to be the lorenz curve and if you talk
- 24:52more about the lorenz card the lorenz
- 24:53curve is a graphical method used to
- 24:55display the concentration of activities
- 24:57within an area example given the degree
- 25:00of industrial specialization within an
- 25:02urban area feed work data may be used
- 25:04but it is more common to use secondary
- 25:06source
- 25:07and the technique is particularly useful
- 25:09as it provides a good visual comparison
- 25:10of any observed difference and from its
- 25:13precise index
- 25:14which genogenic coefficient can be
- 25:16calculated so the further away you know
- 25:19lawrence curve is from the line of
- 25:21perfect equality which is diagonal we
- 25:23have seen that the more diverse is the
- 25:25sample and the more unevenly the values
- 25:27are spread out so this is useful to
- 25:29estimate how wealth is distributed among
- 25:31the population so if a country's
- 25:33lawrence curve is distant from the line
- 25:35of perfect equality it means a small
- 25:37percentage of the population controls
- 25:39most of the world and that country
- 25:41income distribution is uneven i think we
- 25:44have we have talked a lot about
- 25:46graphical representation and we have
- 25:48seen that how there is a difference
- 25:49between the diagrammatical presentation
- 25:51and graphical representation so
- 25:54this is one of the important ingredient
- 25:56as far as you know the presentation of
- 25:57data is concerned and one of the one of
- 26:00the important component of of the block
- 26:022 which talks about you know how you are
- 26:04going to process the data because
- 26:06we know that the data is quite gigantic
- 26:08in nature and it's really cumbersome for
- 26:10the for the for the researchers to
- 26:12accumulate the data or get the results
- 26:14out of data out from that data because
- 26:16if the respondents have reciprocates and
- 26:18they have given the
- 26:20information in a tabulated format so
- 26:23it's really you know tough for the
- 26:24researchers to go for that so in that
- 26:26case if they use this statistical
- 26:28phenomena or you know the way of
- 26:30presenting the data i think this is
- 26:32somewhere where they can get the
- 26:35you know depict the things in a very
- 26:36faster mode so graphical presentation is
- 26:39very important ingredient and
- 26:41as far as this particular block is
- 26:43concerned which is more emphasize on
- 26:45processing and preservation of data this
- 26:47graphical presentation diagrammatical
- 26:49presentation and processing of data is
- 26:51important in gradient because the first
- 26:53block the the very first block consists
- 26:55of you know somewhere around 10 to 12
- 26:58lectures and have
- 26:59was was focusing on you know how you are
- 27:01going to do the research do the analysis
- 27:03and collect the data
- 27:05but now this this the second block is
- 27:07more emphasizing on preservation of data
- 27:09because if you preserve the data and
- 27:11interpret the results i think somewhere
- 27:13you know
- 27:14you can able to move in a more
- 27:17systematic manner so
- 27:19we have some more sessions you know
- 27:20which talk something related to
- 27:23processing and preservation of data in
- 27:25our forthcoming session thank you very
- 27:27much
- 27:30[Music]
- 27:43you
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