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Graphical presentation — Transcript

by MCO-3 [RM&SA] · 5,220 words · 810 segments · language en · Watch on YouTube

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  1. 0:00[Music]
  2. 0:08[Music]
  3. 0:14hello learners i am dr subhani working
  4. 0:16with india gandhi national open
  5. 0:18university in school of management
  6. 0:19studies
  7. 0:20and today the topic which i am going to
  8. 0:22talk is on uh is on a very contemporary
  9. 0:25topic that is graphical representation
  10. 0:27we have a very series of discussion
  11. 0:29related to data and
  12. 0:31how the data is going to you know
  13. 0:33represent in the text format
  14. 0:35now we are going to talk something more
  15. 0:37over and over to that which talks about
  16. 0:39that how we are going to
  17. 0:41represent the data in a diagrammatical
  18. 0:43manner so when we are going to present a
  19. 0:45data in a in a visual manner i think
  20. 0:49there are two ways by which we can do
  21. 0:51the presentation that is the
  22. 0:52diagrammatical presentation and the
  23. 0:54graphical presentation so already we
  24. 0:56have a very very elaborative session
  25. 0:58which talks about you know the
  26. 0:59diagrammatical presentation where we
  27. 1:01have talked about you know the pie chart
  28. 1:03the bar chart one dimensional two
  29. 1:06dimensional and lot of you know
  30. 1:07varieties of ways by which you know the
  31. 1:09data is going to be presented in a
  32. 1:11diagrammatical manner so this is one of
  33. 1:13the sequel to that and here we are going
  34. 1:15to talk more about you know the
  35. 1:16graphical presentation of data which is
  36. 1:18quite meticulous as far as the research
  37. 1:21is concerned as far as the statistics is
  38. 1:22concerned so anyway
  39. 1:25before going into the depth of this
  40. 1:26topic i just want to throw a light what
  41. 1:29exactly the research methodology and
  42. 1:30statistical analysis is you know this is
  43. 1:33part of our m com program
  44. 1:35and this is a second year course and
  45. 1:37exclusively talks about you know the
  46. 1:39methodology and the statistical analysis
  47. 1:41which we are going to use because in
  48. 1:43today's scenario research and statistics
  49. 1:45is is a very contemporary term because
  50. 1:48with the help of this you know you can
  51. 1:50able to visualize many things so already
  52. 1:52we have covered somewhere around 13 to
  53. 1:5414 lectures if you recalculate yourself
  54. 1:57you will find out we have a very
  55. 1:59elaborative sessions on research we have
  56. 2:00a very elaborate sessions on data
  57. 2:02collection
  58. 2:03sample measurement of screen techniques
  59. 2:05because why am you know just
  60. 2:06recapitulating in every session about my
  61. 2:08preceding terms because when you talk
  62. 2:11about the research when you talk about
  63. 2:12the statistics there is a great use of
  64. 2:13all these terms
  65. 2:15it's not like that that we have used the
  66. 2:17term at one step and and you know we are
  67. 2:20not going to get the reference of that
  68. 2:22but when you are going to
  69. 2:24going to the depth of of you know
  70. 2:26recapitulating yourself or using the
  71. 2:28statistics i think these terms are quite
  72. 2:30burdening in nature and have a you know
  73. 2:33good presence when you are using in as
  74. 2:36far as the methodology is concerned as
  75. 2:37far the analysis is concerned so anyway
  76. 2:39we have already covered the first block
  77. 2:41which was focusing on the research and
  78. 2:42data collection and the second block
  79. 2:45uh is more talking about you know the
  80. 2:47processing of data and how you're going
  81. 2:49to preserve the data so while you know
  82. 2:51preserving the data or you know the
  83. 2:52processor data there are certain modus
  84. 2:54operandi which we have to follow and
  85. 2:56this diagrammatic presentation is one of
  86. 2:58the important ingredients which we have
  87. 3:00already covered and talk about how we
  88. 3:02are going to present the data in a in a
  89. 3:04visual format so already we have a very
  90. 3:07innovative session very
  91. 3:09thought provoking sessions and now we
  92. 3:11are just focusing on the graphic
  93. 3:12presentation of data this is
  94. 3:14if we go more into the depth of this
  95. 3:16graphical representation i think
  96. 3:19graphical representation of data is
  97. 3:21nothing but a chart in which data is
  98. 3:23represented by symbols such as bars in
  99. 3:26bar chart lines in line chart or slices
  100. 3:28in pie chart so in our preceding session
  101. 3:31we have seen that how the diagrammatic
  102. 3:32presentation is governed when we are
  103. 3:34going to talk about all those aspects
  104. 3:36and these are you know converted into
  105. 3:38one dimensional two-dimensional
  106. 3:40three-dimensional so anyway a data chart
  107. 3:42is a type of diagram a graph that
  108. 3:44organizes and represents a set of
  109. 3:46numerical or qualitative data we have
  110. 3:49already talked about quantitative data
  111. 3:51and
  112. 3:52qualitative data so this data chart is
  113. 3:55type of diagram or graph that organizes
  114. 3:57and represents a set of numerical or
  115. 4:00qualitative data so
  116. 4:02in our preceding session i have as i
  117. 4:03have talked about we have talked about
  118. 4:05bar circles rectangle squares and
  119. 4:08certain maps also like flow charts and
  120. 4:10other thing
  121. 4:11but here we are just concentrating on on
  122. 4:13a different kind of diagram so if you
  123. 4:16see this particular chapter you know
  124. 4:18which is known as unit 7 and the heading
  125. 4:20of the chapter is diagrammatic and
  126. 4:21graphical presentation which starts with
  127. 4:23you know the diagrammatic presentation
  128. 4:25and the first you know the ingredient of
  129. 4:27this is rules for preparing diagrams
  130. 4:29that we have already talked about and
  131. 4:31there are certain types of diagrams you
  132. 4:33know one dimensional bar diagrams
  133. 4:35known as simple bar diagram multiple bar
  134. 4:37diagram and subdivided bar diagrams so
  135. 4:41already we have talked about it pi
  136. 4:42diagrams and then structure diagrams
  137. 4:45like you know organizational chart of
  138. 4:46flowchart the example which we have
  139. 4:48quoted about you know certain
  140. 4:49organizations which have a hierarchy of
  141. 4:51people starting from your top level
  142. 4:53middle level and lower level how this
  143. 4:55hierarchy is going to be you know depict
  144. 4:57when we are talking in terms of chart so
  145. 4:59this organizational chart is very
  146. 5:01important then we have a flow chart so
  147. 5:02flowchart is working as a decision tree
  148. 5:05where you try to do certain things for
  149. 5:08if you do that yes is there and if you
  150. 5:10know you move on to the different
  151. 5:12so certain options are going on so
  152. 5:14anyway we have we have covered all those
  153. 5:16things now we are just concentrating on
  154. 5:18graphical presentation and
  155. 5:20this graphical presentation is is the
  156. 5:22innovative way of presenting the thing
  157. 5:24it could be in the form of ogive in the
  158. 5:26form of histogram or you know the
  159. 5:28frequency polygons or you know other
  160. 5:30ways that we are going to talk about in
  161. 5:32a in a coming slides and then we have
  162. 5:35graphs of time series which talks about
  163. 5:37graphs of one dependent variable and
  164. 5:39graphs of more than one dependent
  165. 5:40variable so this is a very important
  166. 5:42ingredient because
  167. 5:44as far as you know the graphs of time
  168. 5:45series series is concerned it's it is
  169. 5:47just focusing on graphs of one dependent
  170. 5:49variable in graphs of more than one
  171. 5:51dependent variable then you have graphs
  172. 5:54of frequency distribution where
  173. 5:55histogram
  174. 5:56fall frequency polygon and cumulative
  175. 5:58frequencies curves are taken care so
  176. 6:01anyway we start with our discussion and
  177. 6:04we know that you know the visual
  178. 6:05presentation have a great impact
  179. 6:07and if you talk in a present scenario i
  180. 6:09think we are moving one step ahead to
  181. 6:11that and
  182. 6:12we are not only you know visualizing the
  183. 6:14presentation but also animated in the in
  184. 6:16the video format so this is one of the
  185. 6:18new ways which are coming in the in the
  186. 6:20present circumstances
  187. 6:22and this is going to bring a nation the
  188. 6:26statistics word or in the research
  189. 6:28methodology word so so we have discussed
  190. 6:30about one of the techniques of visual
  191. 6:31presentation of data that is
  192. 6:32diagrammatic presentation
  193. 6:34and we appreciate that how such
  194. 6:36presentation eliminates the dullness of
  195. 6:38data because when you talk about you
  196. 6:40know
  197. 6:41the
  198. 6:42the data analysis in a vis-a-vis you
  199. 6:44know the text manner i think somewhere
  200. 6:46you know unless is there the monotony is
  201. 6:48there so
  202. 6:49when you are talking in terms of
  203. 6:50presentation in a visual manner it's
  204. 6:52more interesting and helps in comparison
  205. 6:55between two or more frequency
  206. 6:56distributions so this is something which
  207. 6:58is which is going to play a very
  208. 7:00important role because the role of the
  209. 7:01frequency comes in between now we will
  210. 7:04study another important technique and
  211. 7:06which is known as graphical presentation
  212. 7:07and
  213. 7:09if we take example of this graphical
  214. 7:11representation i think stock index
  215. 7:13cricket score production trends that is
  216. 7:16in various magazines or in television we
  217. 7:18have we have observed that things are
  218. 7:19going on and right now you know there
  219. 7:20are certain blogs and and
  220. 7:23statistical you know with annual reports
  221. 7:25which are floating on the website can
  222. 7:26also be the example of that so everybody
  223. 7:29respect is irrespective of whether he or
  224. 7:31she is a layman or an expert has a
  225. 7:33natural fascination for
  226. 7:35appropriate graphical presentation of
  227. 7:37data which remains an essential part of
  228. 7:38research mythology i have already quoted
  229. 7:40about that the graphical
  230. 7:43presentation of data leaves an impact on
  231. 7:45the mind of the readers that is very
  232. 7:46true because
  233. 7:47because when you when you
  234. 7:50float certain things through text i
  235. 7:51think there are certain monotony and
  236. 7:54gigantic due to gigantic shape of data i
  237. 7:56think it's really a cumbersome for the
  238. 7:58for the for the individual to you know
  239. 8:01extract the information from the text so
  240. 8:03when you when you make a graph and you
  241. 8:05make a pie chart by bar chart or you
  242. 8:07know the graphic representation i think
  243. 8:09somewhere you know
  244. 8:11you are
  245. 8:12your your presentation part is quite
  246. 8:14good so this graphical representation
  247. 8:16encamp has a wide variety of techniques
  248. 8:19that are used to clarify interpret and
  249. 8:21analyze data by plotting points and
  250. 8:23drawing line segments surfaces and other
  251. 8:25geometric forms of symbols we are going
  252. 8:27to you know talk about all those things
  253. 8:29and the purpose of the graph is rapid
  254. 8:31visualization of data that is very true
  255. 8:33a choice among graphic techniques also
  256. 8:35depends on the proposed use to which the
  257. 8:37chart will be put into it so these are
  258. 8:40the you know the graphical presentation
  259. 8:42which is which is only present in the
  260. 8:43present scenario that is lawrence curve
  261. 8:45histogram frequency polygon frequency
  262. 8:48curve and ogive so and all these you
  263. 8:50know comes under the embed of called the
  264. 8:52graphs of time series why we are coding
  265. 8:54the time series because time series the
  266. 8:56set of values of a variable or variables
  267. 8:59arrange over a period of time so that is
  268. 9:01the reason you know we have used the
  269. 9:03heading called graphs of time series and
  270. 9:06there are certain examples related to
  271. 9:07that the data relating to the production
  272. 9:09sales expenditure exports
  273. 9:11during the last 10 years and the graph
  274. 9:14of time series is prepared to show the
  275. 9:15values of one or more than one variables
  276. 9:17over a period of time so this type of
  277. 9:20graphs are also termed as a time graphs
  278. 9:22or histograms because history is
  279. 9:24represented graphically so that is the
  280. 9:26reason you know the time series when we
  281. 9:28talk about the time series we talk about
  282. 9:29the the past records and the past
  283. 9:32history so 10 year down the line we
  284. 9:33prepare any chart so
  285. 9:35histograms is is known as is one of the
  286. 9:38examples to that and these graphs are
  287. 9:39helpful in studying the changes over a
  288. 9:41period of time and forecasting so on the
  289. 9:43basis of the past record and the present
  290. 9:45trend we forecast so
  291. 9:48this is the beauty of histograms and can
  292. 9:50be constructed in two ways on a natural
  293. 9:51scale that is arithmetic scale and on a
  294. 9:54ratio scale so in natural scale you know
  295. 9:56the graph reflects the changes in
  296. 9:58absolute values over a period of time
  297. 10:00whereas a ratio scale
  298. 10:02graph reflects the relative changes over
  299. 10:04period time so
  300. 10:05in this presentation however we study
  301. 10:07the histograms on natural scale which is
  302. 10:09generally used in business research
  303. 10:11because as far as our paper is concerned
  304. 10:13this is
  305. 10:14this research mythology paper is for the
  306. 10:15masters of commerce student and there's
  307. 10:17a great use of you know how the business
  308. 10:19trend is changing and how certain new
  309. 10:21trends are coming up so this histogram
  310. 10:23is going to play a very vital role when
  311. 10:25you are going to
  312. 10:28work on the time series manner so now
  313. 10:30the question is come that when to use
  314. 10:32histogram so
  315. 10:33we are going to use the histogram when
  316. 10:35the data are numerical that is very true
  317. 10:37and a lot of mathematics are involved
  318. 10:39and you want to
  319. 10:41see the shape of the data distribution
  320. 10:42especially when determining whether the
  321. 10:44output of process is distributed
  322. 10:46approximately normally that is that is
  323. 10:48required and analyzing analyzing whether
  324. 10:51a process can meet the customer
  325. 10:53requirements so
  326. 10:54that is more important you know if if
  327. 10:56the customer requirement or you know the
  328. 10:58respondents requirement is not going to
  329. 10:59fulfill i think
  330. 11:01your analyzing process is not going to
  331. 11:03work out so whatever you are going to
  332. 11:05analyze is
  333. 11:07as you know based on the output for the
  334. 11:09supply process looks like and whether
  335. 11:11process change has occurred from one
  336. 11:12period to another period that also need
  337. 11:14to be required if they if there could
  338. 11:16not be any change
  339. 11:17in the in the in the preceding years or
  340. 11:20in the present years i think then there
  341. 11:22could not be any competitive view so
  342. 11:24determining whether the output or two or
  343. 11:26more processes are different so what i
  344. 11:29mean to say
  345. 11:31we have to communicate the distribution
  346. 11:33of data quickly and easily to others so
  347. 11:35that is the reason you know there are
  348. 11:36certain statistical analysis which need
  349. 11:38to talk about all those aspects so when
  350. 11:40you are going to talk about the graph of
  351. 11:42one dependent variable
  352. 11:43when there is only one dependent
  353. 11:45variable the values of the dependent
  354. 11:46variable are taken on y axis while
  355. 11:49the time is taken on x axis so we will
  356. 11:51see how the you know this this statement
  357. 11:54is going to be interpreted with the help
  358. 11:56of certain you know the figures which we
  359. 11:58are going to we will study the
  360. 12:00certain examples and try to understand
  361. 12:02the methods of construction for one
  362. 12:03dependent variable histogram so
  363. 12:05so and there and there is another term
  364. 12:08called false baseline so false baseline
  365. 12:09is a device
  366. 12:11leading to graphical presentation this
  367. 12:12line is used to break the continuity of
  368. 12:14y axis with the origin and false
  369. 12:17baseline is used when figures start with
  370. 12:19high values if we maintain continuity of
  371. 12:21the value from the origin then
  372. 12:23sufficient portion of the grass would go
  373. 12:25waste so what we have observed that this
  374. 12:27false baseline is
  375. 12:30is working as a device and is related to
  376. 12:32the graphical presentation and
  377. 12:34this graphs of frequency distribution if
  378. 12:36we talk about you know we have seen in
  379. 12:38our preceding lecture or in the
  380. 12:40presentation that frequency distribution
  381. 12:42are you know explained with the help of
  382. 12:44tables and these frequency distributions
  383. 12:46are also presented in the forms of
  384. 12:47graphs and that is you know the the
  385. 12:50beauty of because when you talk about
  386. 12:52the frequency distribution i think the
  387. 12:54data size is quite high and such graphs
  388. 12:56can can give a better understanding and
  389. 12:59provide illustrative information to
  390. 13:00readers
  391. 13:01then the data in tabular form so when
  392. 13:04you have a data in tablet format i think
  393. 13:06the data size is quite high you have
  394. 13:07multiple rows multiple columns and
  395. 13:09you're not going to interpret what best
  396. 13:11can be done but if that if the same
  397. 13:13table you know can be governed with the
  398. 13:15help of certain charts or certain graphs
  399. 13:18i think very easily you can interpret
  400. 13:20what what what exactly you are expecting
  401. 13:22from that particular image so it is true
  402. 13:24that effective graph can
  403. 13:26can markly increase the reader's
  404. 13:27comprehension of complex data sets
  405. 13:30and when you compare with the table
  406. 13:31graphs of frequency distribution are
  407. 13:32helpful in identifying the
  408. 13:34characteristics and relationship of the
  409. 13:36data and this relationship is more
  410. 13:38important that how the trend is going to
  411. 13:40change if we if we take our
  412. 13:43you know the chart of 5 to 10 years down
  413. 13:45the line very easily we can interpret
  414. 13:47that what could be the future of that so
  415. 13:49these graphs are useful in locating the
  416. 13:51position averages such as mode median
  417. 13:53and qualities etcetera we which we have
  418. 13:55already covered in measure of center
  419. 13:56tendency we have seen that in measure of
  420. 13:58center tendency how this
  421. 14:02this mean median mode is going to be
  422. 14:04taken care so in a continuous frequency
  423. 14:06distribution there is a class limit mid
  424. 14:08values are taken on y axis or on x axis
  425. 14:11and the frequency on the y axis so the
  426. 14:14vertical axis which we usually call the
  427. 14:16y axis is not broken thus the false base
  428. 14:18line cannot be taken so a frequency
  429. 14:21distribution if we talk about can be
  430. 14:23portrayed by means of histogram
  431. 14:25frequency polygon agile curve and
  432. 14:27scatter diagram so these scatter
  433. 14:29diagrams which we are going to take with
  434. 14:31the help of certain examples in our
  435. 14:32coming sessions and you will find out
  436. 14:34that there is a great use of scattered
  437. 14:36diagram but here we are going to start
  438. 14:38with certain you know the graphical
  439. 14:40presentations and histogram is one of
  440. 14:42that
  441. 14:43and it's it's part of the time series
  442. 14:44and histogram is an approximate
  443. 14:46representation of the distribution of
  444. 14:48numerical data it was first introduced
  445. 14:50by karl pearson that is
  446. 14:52and and these frequency distributions
  447. 14:54shows how often each different value in
  448. 14:57set of data occurs
  449. 14:59and histogram is the most commonly used
  450. 15:00graph to show frequency distributions we
  451. 15:02will when we will take certain examples
  452. 15:05we see that how it is quite important it
  453. 15:07look very much like a bar chart but they
  454. 15:09are important difference between them
  455. 15:11because when we talk about the bar chart
  456. 15:13there's a gap between two bars but when
  457. 15:15you talk about the histograms histograms
  458. 15:17are
  459. 15:19are you know
  460. 15:20linked with one another the bars are
  461. 15:22attached with one another without any
  462. 15:24gap so when we will take certain
  463. 15:26examples we will see how important it is
  464. 15:28so histogram meaning can be stated as a
  465. 15:30graphical representation
  466. 15:32that condenses that data series into an
  467. 15:35easy interpretation of numerical data by
  468. 15:37group grouping them into logical ranges
  469. 15:39of different heights which are also
  470. 15:41known as bins
  471. 15:42and a histogram is used to display
  472. 15:44continuous data in a categorical form so
  473. 15:47this is a usp of of this histogram and
  474. 15:52and if we if we talk about how to create
  475. 15:55a histogram that is something because
  476. 15:57there are certain parameters which one
  477. 15:59has to follow and if we go more into the
  478. 16:01depth of it you will find out that how
  479. 16:03the things are going to be calculated so
  480. 16:04if we are going to create a histogram i
  481. 16:06think to construct a histogram the first
  482. 16:09step is to
  483. 16:11bin or bucket the range of values that
  484. 16:13is divide the entire range of values
  485. 16:15into a series of intervals and then
  486. 16:17count how many values fall in each
  487. 16:19interval the the bins are usually
  488. 16:21specified as consecutive non-overlapping
  489. 16:23intervals of a variable so
  490. 16:26we have we have seen that you know for
  491. 16:28two you know the two is the score and
  492. 16:30the frequency is three
  493. 16:32three is the score frequency is seven 7
  494. 16:364 is the score frequency is 2 so 6 is
  495. 16:39the score frequency is
  496. 16:415. so this is the in this manner you
  497. 16:44know we have we have plotted the
  498. 16:46histograms and you see what is the
  499. 16:48impression behind that that
  500. 16:50that you know the initially we are
  501. 16:53gradually we are going up then going
  502. 16:54down then after certain time then again
  503. 16:57go up and then go down so this is the
  504. 16:59model so there are certain facts and
  505. 17:00figures related to histogram
  506. 17:02now the question is that is histogram is
  507. 17:04a qualitative or quantitative pie charts
  508. 17:07and bar diagrams are used for
  509. 17:08qualitative data that is very true we
  510. 17:10have already seen that
  511. 17:12and histograms similar to bar graphs are
  512. 17:14used to
  513. 17:16for the quantitative data line graphs
  514. 17:18are used for qualitative data scatter
  515. 17:20graphs are used for quantitative data so
  516. 17:23if you talk about you know this bar
  517. 17:25chart and pie chart they are more
  518. 17:27qualitative in nature where histogram is
  519. 17:28more quantitative quantitative in nature
  520. 17:31so how to interpret the shape of the
  521. 17:33statistical data in a histogram
  522. 17:35we have seen that you know this
  523. 17:37symmetric is there then skewed light is
  524. 17:39there and
  525. 17:41and when we go more into depth of
  526. 17:43symmetric i think the histogram is a
  527. 17:45symmetric if you cut it down
  528. 17:47the middle in the left hand and right
  529. 17:48hand side resemble mirror image of each
  530. 17:50other that is very true and skewed right
  531. 17:53histogram looks like a lopsided mound
  532. 17:55with a tail going off to the right
  533. 17:57so and
  534. 17:59there are certain examples of the skewed
  535. 18:00left also so what does the shape of a
  536. 18:02histogram tell us so it's a bi model we
  537. 18:05have already talked about you know in
  538. 18:07in in mode when we are going for the
  539. 18:09mode we have seen that how the bi model
  540. 18:11and multi model works the bi model shape
  541. 18:13shown below has two peaks if this shape
  542. 18:16occurs the two sources should be
  543. 18:18separated and analyzed separately
  544. 18:20and this is the manner and and some
  545. 18:22histograms will show a squee
  546. 18:24distribution to the right as shown in
  547. 18:26below and what we have seen that you
  548. 18:28know if you see this particular image
  549. 18:30you will find out that that how the
  550. 18:32histogram the rivals are there the
  551. 18:33frequency is at the at one axis and i
  552. 18:36was at
  553. 18:37different and then we have plotted the
  554. 18:39histograms so now there this is another
  555. 18:42way of explaining the histogram
  556. 18:43distribution of randomly generated
  557. 18:45numbers
  558. 18:46where we have seen that how the
  559. 18:47histogram is going to create it but
  560. 18:49the good part of the histogram is that
  561. 18:52that all the bars are are
  562. 18:54attached with one another there is no
  563. 18:55gap between the two bars whereas in
  564. 18:58when bar chart you will find out that
  565. 19:00there is a gap between the two so this
  566. 19:03is the difference between the histograms
  567. 19:04and bar chart and you see that how the
  568. 19:06gaps no gaps are there whereas you know
  569. 19:09in bar chart you will find out the gaps
  570. 19:10are
  571. 19:11there so anyway now we are going to talk
  572. 19:13about another types of
  573. 19:16graphical
  574. 19:17presentation that is frequency polygon
  575. 19:20and when you go more into depth of
  576. 19:22polygon i think its many angle diagrams
  577. 19:25so this is another way of defecting a
  578. 19:26frequency distribution graphically
  579. 19:29it facilitates comparison of two or more
  580. 19:31frequency distributions so frequency
  581. 19:34polygon can be drawn either from the
  582. 19:36histogram or from the given data
  583. 19:38directly so you have got varieties of
  584. 19:40way and if you see this particular image
  585. 19:42you will find out that that histogram is
  586. 19:45is this and frequency polygon is is this
  587. 19:48that in the same
  588. 19:49in first we have plotted the histogram
  589. 19:52and gradually after plotting the
  590. 19:53histogram we have taken the midpoint of
  591. 19:55each bars and then plot a frequency
  592. 19:58polygon so this this bar is nothing but
  593. 20:00a histogram which is attached with one
  594. 20:02another whereas on the whereas frequency
  595. 20:04polygon is just the midpoint of that bar
  596. 20:07and and dot is the representation and
  597. 20:10gradually we have seen that how we have
  598. 20:12plotted this so
  599. 20:13ah so what we what we keen to say that
  600. 20:16when we talk about the cumulative
  601. 20:17frequency curves sometimes we are
  602. 20:20interested in knowing how many families
  603. 20:21are there in the city or we can take
  604. 20:23certain examples whose earnings are less
  605. 20:25than twenty thousand per month who's
  606. 20:27earning a more than you know thirty
  607. 20:28thousand per month so in order to obtain
  608. 20:30this information we have
  609. 20:32first of all to convert the ordinary
  610. 20:34frequency table into cumulative
  611. 20:36frequencies when cumulative frequency is
  612. 20:38going to be added you know with the help
  613. 20:40of certain numbers which can be added so
  614. 20:43if
  615. 20:44the if in the
  616. 20:46table we have got two
  617. 20:48ways and frequency is general so
  618. 20:50cumulative frequency is the addition of
  619. 20:52the existing one and the preceding one
  620. 20:54so we add we get the cumulative so next
  621. 20:56could be added of that
  622. 20:57so when the frequency is added they are
  623. 20:59called cumulative frequencies and the
  624. 21:01curves obtained from the cumulative
  625. 21:02frequencies are called cumulative
  626. 21:04frequency curves properly known as
  627. 21:06ogives so there are two types of ogives
  628. 21:08we have
  629. 21:10we are going to talk about in a more
  630. 21:11elaborative manner and if you if you see
  631. 21:14this so these ogives are are you know
  632. 21:18start with the upper limit of each class
  633. 21:20and the cumulative starts from the top
  634. 21:22so when these frequencies are plotted we
  635. 21:23get less than oh so they are less than
  636. 21:26aji and they are more than ogi so
  637. 21:29and if you go more into depth of the ogi
  638. 21:31these objects are useful to determine
  639. 21:33the number of items a number below a
  640. 21:36given value it is also useful for
  641. 21:37comparison between two or more frequency
  642. 21:39distributions and to determine certain
  643. 21:42values like you know the positional
  644. 21:44values such as mode
  645. 21:46median quartile percentile etcetera
  646. 21:48because we have we have seen that that
  647. 21:51that when you talk about the measure of
  648. 21:53central tendency this mode median r
  649. 21:55seems to be the positional values
  650. 21:58because with the help of there is
  651. 22:00no
  652. 22:01you know impact of the outliers and if
  653. 22:03the when you talk about the mode the
  654. 22:05number which repeated maximum number of
  655. 22:07times we have already have a very
  656. 22:08elaborative session on measure of
  657. 22:09central tendency
  658. 22:11which are considered to be the mode and
  659. 22:13medium is the middle number so so what
  660. 22:15we have observed that you know an ogi
  661. 22:17sometimes called a cumulative frequency
  662. 22:19polygon is a type of frequency polygon
  663. 22:22that shows cumulative frequencies so in
  664. 22:25other words the cumulative percents are
  665. 22:27added on the on the graph from the left
  666. 22:29to right and ogi graph plots cumulative
  667. 22:31frequencies on the y axis and class
  668. 22:33boundaries along the x axis so the hive
  669. 22:37for the normal distribution resembles
  670. 22:39one side of an arabesque or ogivel arc
  671. 22:43which is
  672. 22:44likely the origin of its name so if you
  673. 22:46see this particular image you will find
  674. 22:48out that how we have plotted the odais
  675. 22:51and this is the manner you know the guys
  676. 22:53are going to be
  677. 22:56developed in a particular image so
  678. 22:58there are certain differentiation
  679. 23:00between less than and more than agile so
  680. 23:02in this objective you know the
  681. 23:03frequencies are added starting from the
  682. 23:05upper limit of the first class interval
  683. 23:07of the frequency distribution and
  684. 23:10in this agile the cumulative total tens
  685. 23:12is going to be in a screen increase mode
  686. 23:14and when you are going to talk about you
  687. 23:16know the more elaborate manner about the
  688. 23:18lesser know drive the plots the points
  689. 23:20with the upper limits of the class as
  690. 23:23abscissa and the corresponding less than
  691. 23:25cumulative frequencies as ordinates
  692. 23:28so
  693. 23:29these points are joined by freehand
  694. 23:31smooth curve to give less than
  695. 23:32cumulative frequency curve or the less
  696. 23:34than the ogive so this is example of
  697. 23:37less than oji and when you go and talk
  698. 23:40more about the more than typogy it is a
  699. 23:42graph drawn from lower limits and
  700. 23:44cumulative frequencies of a distribution
  701. 23:46and when we are going to mark the points
  702. 23:48with the lower limit and x coordinate
  703. 23:50and corresponding cumulative frequency
  704. 23:53and y coordinate and gen
  705. 23:55and then when we are going to join them
  706. 23:56by freehand smooth curve this type of
  707. 23:58graph is accumulated as downward so
  708. 24:01what we have observed that you know this
  709. 24:03ai is also quite important and uh when
  710. 24:07and there are certain you know
  711. 24:09the time when when we are making a
  712. 24:11graphical presentation this histograms
  713. 24:13and ojai is very important but on the
  714. 24:14other hand the lawrence curve is also
  715. 24:16one of the way of graphical
  716. 24:19representation of income equality of
  717. 24:21wealth equality
  718. 24:22and this was developed by the american
  719. 24:24economist called max lawrence in
  720. 24:261905 and the graph plots percentile of
  721. 24:29the population on the horizontal axis
  722. 24:31according to the income of wealth so
  723. 24:33what we have seen from this particular
  724. 24:35image that that we bifurcate this whole
  725. 24:38whole rectangular box and from the from
  726. 24:41the mid from 0.0 and then you know this
  727. 24:44considered to be the line of equality
  728. 24:45and orange curve supposed to be moving
  729. 24:48that way so this red line is considered
  730. 24:50to be the lorenz curve and if you talk
  731. 24:52more about the lorenz card the lorenz
  732. 24:53curve is a graphical method used to
  733. 24:55display the concentration of activities
  734. 24:57within an area example given the degree
  735. 25:00of industrial specialization within an
  736. 25:02urban area feed work data may be used
  737. 25:04but it is more common to use secondary
  738. 25:06source
  739. 25:07and the technique is particularly useful
  740. 25:09as it provides a good visual comparison
  741. 25:10of any observed difference and from its
  742. 25:13precise index
  743. 25:14which genogenic coefficient can be
  744. 25:16calculated so the further away you know
  745. 25:19lawrence curve is from the line of
  746. 25:21perfect equality which is diagonal we
  747. 25:23have seen that the more diverse is the
  748. 25:25sample and the more unevenly the values
  749. 25:27are spread out so this is useful to
  750. 25:29estimate how wealth is distributed among
  751. 25:31the population so if a country's
  752. 25:33lawrence curve is distant from the line
  753. 25:35of perfect equality it means a small
  754. 25:37percentage of the population controls
  755. 25:39most of the world and that country
  756. 25:41income distribution is uneven i think we
  757. 25:44have we have talked a lot about
  758. 25:46graphical representation and we have
  759. 25:48seen that how there is a difference
  760. 25:49between the diagrammatical presentation
  761. 25:51and graphical representation so
  762. 25:54this is one of the important ingredient
  763. 25:56as far as you know the presentation of
  764. 25:57data is concerned and one of the one of
  765. 26:00the important component of of the block
  766. 26:022 which talks about you know how you are
  767. 26:04going to process the data because
  768. 26:06we know that the data is quite gigantic
  769. 26:08in nature and it's really cumbersome for
  770. 26:10the for the for the researchers to
  771. 26:12accumulate the data or get the results
  772. 26:14out of data out from that data because
  773. 26:16if the respondents have reciprocates and
  774. 26:18they have given the
  775. 26:20information in a tabulated format so
  776. 26:23it's really you know tough for the
  777. 26:24researchers to go for that so in that
  778. 26:26case if they use this statistical
  779. 26:28phenomena or you know the way of
  780. 26:30presenting the data i think this is
  781. 26:32somewhere where they can get the
  782. 26:35you know depict the things in a very
  783. 26:36faster mode so graphical presentation is
  784. 26:39very important ingredient and
  785. 26:41as far as this particular block is
  786. 26:43concerned which is more emphasize on
  787. 26:45processing and preservation of data this
  788. 26:47graphical presentation diagrammatical
  789. 26:49presentation and processing of data is
  790. 26:51important in gradient because the first
  791. 26:53block the the very first block consists
  792. 26:55of you know somewhere around 10 to 12
  793. 26:58lectures and have
  794. 26:59was was focusing on you know how you are
  795. 27:01going to do the research do the analysis
  796. 27:03and collect the data
  797. 27:05but now this this the second block is
  798. 27:07more emphasizing on preservation of data
  799. 27:09because if you preserve the data and
  800. 27:11interpret the results i think somewhere
  801. 27:13you know
  802. 27:14you can able to move in a more
  803. 27:17systematic manner so
  804. 27:19we have some more sessions you know
  805. 27:20which talk something related to
  806. 27:23processing and preservation of data in
  807. 27:25our forthcoming session thank you very
  808. 27:27much
  809. 27:30[Music]
  810. 27:43you

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