1. STATISTICS PROJECT Priya Mariam Simon Aparna Rajeev Sudhit Sethi Jinto Antony Kurian

2. Objective The main objective of our project is to acquire in-depth understanding of collection, organization and interpretation of numerical facts for taking managerial decisions. The data for the project has been collected from the Outlook (India) site. We have referred the link for the top 100 engineering colleges in India. Here the variables used are Nominal variables, Ordinal variables and some other variables. Nominal variables used are Name of the Institution, City and G/P (Government/Private). The ordinal variable used is Rank. We have also used various other variables such as IC (Intellectual Capital), I&F (Infrastructure and Facilities), PS (Pedagogic Systems), II (Industry Interface) and P (Placement).

3. Database Rank Name of the InstitutioncityG/PICI&FPSIIPTotal 1IIT KanpurKanpurG28.318.913.813.218.592.7 2IIT KharagpurKharagpurG27.918.813.713.518.392.2 3IIT BombayMumbaiG27.218.61313.718.791.2 4IIT MadrasChennaiG26.718.313.312.917.889.1 5IIT DelhiDelhiG26.118.512.713.418.188.8 6BITS PilaniPilaniP25.817.813.5 17.387.9 7IIT RoorkeeRoorkeeG25.518.612.912.416.385.6 8IT-BHUVaranasiG23.918.212.711.915.982.6 9IIT GuwahatiGuwahatiG25.218.112.510.515.181.4

4. 10 College of Engg, Anna UniversityGuindyG25.316.712.412.814.181.3 11 Jadavpur University, Faculty of Engg & TechCalcuttaG25.216.411.711.415.480.1 12 Indian School of MinesDhanbadG24.715.512.2 14.779.3 13NITWarangalG24.916.911.811.51479.1 14BIT, MesraRanchiP23.613.712.3 14.276.1 15NITTrichyG2417.310.410.513.575.7 16 Delhi College of EngineeringNew DelhiG22.415.912.610.813.875.5 17 Punjab Engineering CollegeChandigarhG2217.710.19.315.874.9 18NITSuratkalG23.917.110.310.113.374.7 19 Motilal Nehru National Inst. of TechnologyAllahabadG22.816.511.39.914.174.6

5. 20 Thapar Inst of Engineering & TechnologyPatialap21.616.312.312.21274.4 21 Bengal Eng and Science University, ShibpurHowrahG2315.71210.512.173.3 22MANITBhopalG23.516.310.610.412.473.2 23 PSG College of TechnologyCoimbatoreG21.814.99.813.612.872.9 24IIITHyderabadG21.316.310.310.713.972.5 25 Harcourt Butler Technological InstituteKanpurG2315.511.310.212.472.4 26 Malviya National Institute of TechnologyJaipurG22.516.510.49.21371.6 27VNITNagpurG21.815.710.810.212.571 28NITKozhikodeG21.916.89.910.211.970.7 29 Dhirubhai Ambani IICTGandhinagarP22.716.310.69.611.270.4

6. 30 Osmania Univ. College of EngineeringHyderabadG 22. 71410.310.9 12. 470.3 31 College of Engineering, Andhra University Vishakhapa tnamG 22. 5 12. 710.710.8 13. 570.2 32 Netaji Subhas Institute of TechnologyNew DelhiG22 16. 59.39.71269.5 33NITKurukshetraG 21. 8 15. 79.99.61269.1 34NITRourkelaG 20. 4 14. 610.3 13. 368.9 35SVNITSuratG 20. 3 14. 210.110.6 13. 668.8 36 Govt. College of EngineeringPuneG 21. 2 12. 211.111.5 12. 768.7 37 Manipal Institute of TechnologyManipalp 21. 7 12. 811.210.4 12. 568.6 38JNTUHyderabadG 21. 8 12. 510.910.2 12. 968.3 39 R.V. College of EngineeringBangalorep 20. 6 13. 210.810.61368.2

7. 40NITJamshedpurG19.913.410.4 1468.1 41 University Visvesvaraya College of Engg.BangaloreG2213.39.69.9 12. 867.6 42VJTIMumbaiG20.312.610.710.5 13. 467.5 43 Vellore Institute of TechnologyVelloreP20.316.99.810.1 10. 367.4 44 Coimbatore Institute of TechnologyCoimbatoreG20.41310.812.2 10. 967.3 45 SSN College of EngineeringChennaiP21.412.711.311.2 10. 667.2 46IIITAllahabadG19.213.61210.5 11. 867.1 47 College of EngineeringTrivandrumG19.316.18.99.4 13. 367 48NIT DurgapurDurgapurG20.512.411.310.71266.9 49SITCalcuttaG22.913.410.18.9 11. 566.8

8. 50 Mumbai University Inst of Chemical TechMumbaiG20.212.511.410 12. 666.7 51 Sardar Patel College of EngineeringMumbaip20.112.710.210.4 13. 266.6 52 P.E.S. Institute of TechnologyBangalorep19.513.11111.71166.3 53 Maharashtra Institute of TechnologyPunep20.313.41010.2 12. 366.2 54 Amrita Institute of Technology & ScienceCoimbatorep19.812.212.110.511.566.1 55 National Institute of EngineeringMysorep19.611.91210.2 12. 265.9 56 B.M.S. College of EngineeringBangalorep19.713.110.99.6 12. 365.6 57 Laxminarayan Institute Of Tech.NagpurG20.312.410.310.1 12. 465.5 58 Nirma Institute of TechnologyAhmedabadp19.313.910.2101265.4 59IIITPuneG19.412.610.210.3 12. 765.2

9. 60 Amity School of EngineeringNoidap19.713.59.310.112.565.1 61JNTUKakinadaG19.812.99.810.112.465.1 62 S.J. College of EngineeringMysoreP19.712.810.89.411.964.6 63 Chaitanya Bharathi Inst. of TechnologyHyderabadP19.313.39.89.212.964.5 64IIITBangaloreG1911.612.110.710.964.3 65 SRM Institute of Science and TechnologyChennaiP2112.49.38.413.164.2 66SASTRAThanjavurP18.513.21210.310.164.1 67 Bangalore Institute of TechnologyBangaloreP19.511.810.510.21264 68 The Technological Inst. of Textile & SciencesBhiwaniG19.712.911.39.310.763.9 69IIITGwaliorG19.712.710.210.310.963.8

10. 70JNTUAnantpurG18.912.411.3911.863.4 71 M.S. Ramaiah Institute of TechnologyBangaloreP18.714.210.18.711.563.2 72Gitam Vishakhapatn amP19.214.810.66.212.363.1 73NITHamirpurG18.314.89.77.912.262.9 74NITJalandharG19.612.79.39.112.262.8 75 SV University Engineering CollegeTirupatiG19.811.510.310.110.762.4 76NITRaipurG18.713.19.69.111.862.3 77 Vasavi College of EngineeringHyderabadP19.614.19.67.111.862.2 78 The ICFAI Inst of Science and TechnologyHyderabadP20.58.411.911.69.762.1 79NITPatnaG19.712.210.79.210.262

11. 80 Cummins College of Engg for WomenPuneG20.18.711.711.310.161.9 81VITPuneP17.911.211.71010.561.3 82 Shri Ramdeo Baba K.N. Engineering CollegeNagpurP18.713.310.48.29.760.3 83 Muffakham Jah Engineering CollegeHyderabadP17.112.28.110.212.460 84 Karunya Institute of TechnologyCoimbatoreP18.112.18.98.412.359.8 85D.J. SanghviMumbaiP18.212.98.19.51159.7 86 Sathyabhama Engineering CollegeChennaiP17.612.49.58.211.859.5 87 Kongu Engineering CollegeErodeP17.812.79.38.511.259.4 88 Mepco Schlenk Engineering CollegeSivakasiP17.513.88.78.510.859.3

12. 89 Guru Nanak Dev Engineering CollegeLudhianaG17.712.48.68.811.659.1 90 Hindustan Inst of Engineering TechnologyChennaiP18.911.39.29.310.258.9 91 SDM College of EngineeringDharwadP16.512.789.611.758.5 92 R.V.R. & J.C. College Of EnggGunturP16.812.19.68.711.258.4 93 Jamia Millia Islamia, New DelhiNew DelhiG19.810.28.88.710.858.3 94 K.L. College of EngineeringVeddeswaramP17.812.89.47.510.758.2 95 Dharmsinh Desai Institute of TechnologyNadiadP16.112.110.39.110.157.7 96 S.G.S. Institute of Technology & ScienceIndoreG16.111.39.89.510.357 97 Jabalpur Engineering CollegeJabalpurG15.912.58.28.511.856.9

13. 98 Sree Chitra Thirunal College of EngineeringTrivandrumP15.512.57.98.79.954.5 99 G.H. Patel College of Engg & Technology Vallabh VidyanagarG15.112.89.57.49.654.4 100 Kalinga Institute of Industrial TechnologyBhubaneshwarP14.912.98.18.59.854.2

14. IC (Intellectual Capital) represents quality of students each institute possesses. I&F (Infrastructure and Facilities) include land, building and various other facilities which an institute possesses. PS (Pedagogic Systems) refer to instructional methods used for educational purposes. II (Industry Interface) means corporate interaction with the college. P (Placements) refer to campus recruitments

15. Frequency Distribution Table Class interval midpoints(x ) frequency(f )cffxdd^2fd^2 50-5552.5000-18.05 325.802 50 55-6057.555287.5-13.05 170.302 5 851.512 5 60-6562.521261312.5-8.0564.8025 1360.85 3 65-7067.533592227.5-3.059.3025 306.982 5 70-7572.5187713051.953.802568.445 75-8077.510877756.9548.3025483.025 80-8582.5592412.511.95 142.802 5 714.012 5 85-9087.529417516.95 287.302 5574.605 90-9592.5599462.521.95 481.802 5 2409.01 3 95-10097.5110097.526.95 726.302 5 100 7055 7494.75

16. MeanMedianModeS.D 70.5566.6565.18.66 In the above data, all the values cluster around 70.55. Similarly one half of the observations in the above data is less than or equal to 66.65 and 65.1 is the value that occurs with the greatest frequency. 8.66 have been computed by taking the positive square root of variance.

17. The Histogram above shows each separate class in the distribution. It shows how the frequency is distributed among the various classes. It is also easy to compare the difference between each class. For example in the above histogram, we have 5 elements in the class between 55 to 60.

18. Frequency Polygon Frequency Polygon shows the outline of the data pattern more clearly.

19. Less than ogive The Ogive curve above is a graphical representation of the cumulative frequency distribution. The X axis here represents the TOTAL obtained from various attributes and Y axis represents the cumulative frequency. At any given point in the ogive curve, we can determine the number of values lying under it.

20. Pie Chart showing distribution of Engineering Institutes From the above pie chart, we can infer the distribution of the type to which the college belongs. Here in our data, we have two types; private colleges which constitute 40% and government colleges constitute 60% of the total

21. Table showing Correlation and Regression between IC & P correlation 0.81 slope0.57 intercept0.71 R^20.649154 R0.805701

22. The above chart shows a high positive correlation between IC & P. This is a straight line (linear) regression model and is expressed with respect to the parameters Intellectual Capital and Placement as y=0.5707x+0.7104 R2=0.6492 indicates the proportion of the variance in the placements which is explained by the independent variable (intellectual capital). The coefficient of correlation is found by using the above equation, and is 0.805 which shows there’s a HIGH degree of correlation between the two parameters considered here.

23. Table showing Correlation and Regression between II & P Correlation coefficient0.630374 Slope0.853955 Intercept3.843427 r^20.397371 r0.630374

24. The above chart shows that there is substantial correlation between Industry Interface and Placement. This is also a straight line (linear) regression model and is expressed with respect to the parameters Industry Interface and Placement as: y=0.854x+3.8434 R2=0.397 indicates the proportion of variance between the Placements (dependent variable) which is explained by the independent variable (Industry Interface). ). The coefficient of correlation is found by using the above equation, and is 0.630 which shows there’s a SUBSTANTIAL degree of correlation between the two parameters considered here.

25. Rank Correlation Rankname of the institution Industry InterfacePlacementsrank square of diff 1IIT Kanpur13.218.5529 2IIT Kharagpur13.518.3330 3IIT Bombay13.718.7110 4IIT Madras12.917.8651 5IIT Delhi13.418.1440 6BITS Pilani13.517.3369 7IIT Roorkee12.416.3871 8IT-BHU11.915.91189 9IIT Guwahati10.515.12211121 10 College of Engg, Anna University12.814.171449 11 Jadavpur University, Faculty of Engg & Tech11.415.4151025 12Indian School of Mines12.214.710124 13NIT11.514 151 14BIT, Mesra12.314.291316 15NIT10.513.522199

26. 16 Delhi College of Engineering10.813.819174 Punjab Engineering College9.315.8339576 18NIT10.113.3262125 19 Motilal Nehru National Inst. of Technology9.914.12814196 20 Thapar Inst of Engineering & Technology12.2121034576 21 Bengal Eng and Science University, Shibpur10.512.12233121 22MANIT10.412.4233049 23 PSG College of Technology13.612.8226576 24IIIT10.713.92016 25 Harcourt Butler Technological Institute10.212.4253025

27. 26 Malviya National Institute of Technology9.2133424100 27VNIT10.212.5252916 28NIT10.211.92535100 29Dhirubhai Ambani IICT9.611.23040100 30 Osmania Univ. College of Engineering10.912.41830144 31 College of Engineering, Andhra University10.813.519 0 32 Netaji Subhas Institute of Technology9.712293425 33NIT9.612303416 34NIT10.313.324219 35SVNIT10.613.621189 36 Govt. College of Engineering11.512.71427169

28. 37 Manipal Institute of Technology10.412.5232936 38JNTU10.212.925 0 39 R.V. College of Engineering10.61321249 40NIT10.414231564 41 University Visvesvaraya College of Engg.9.912.828264 42VJTI10.513.422204 43 Vellore Institute of Technology10.110.32647441 44 Coimbatore Institute of Technology12.210.910421024 45 SSN College of Engineering11.210.61745784 46IIIT10.511.82236196 47 College of Engineering9.413.33221121

29. 48NIT Durgapur10.7122034196 49SIT8.911.537394 50 Mumbai University Inst of Chemical Tech1012.627281 51 Sardar Patel College of Engineering10.413.223221 52 P.E.S. Institute of Technology11.7111241841 53 Maharashtra Institute of Technology10.212.3253136 54 Amrita Institute of Technology & Science10.511.52239289 55 National Institute of Engineering10.212.2253249 56 B.M.S. College of Engineering9.612.330311 57 Laxminarayan Institute Of Tech.10.112.4263016 58 Nirma Institute of Technology1012273449

30. 59IIIT10.312.724279 60 Amity School of Engineering10.112.526299 61JNTU10.112.4263016 62 S.J. College of Engineering9.411.932359 63 Chaitanya Bharathi Inst. of Technology9.212.9342581 64IIIT10.710.92042484 65 SRM Institute of Science and Technology8.413.14123324 66SASTRA10.310.12449625 67 Bangalore Institute of Technology10.212253481 68 The Technological Inst. of Textile & Sciences9.310.73344121

31. 69IIIT10.310.92442324 70JNTU911.836 0 71 M.S. Ramaiah Institute of Technology8.711.539 0 72Gitam6.212.34731256 73NIT7.912.24332121 74NIT9.112.235329 75 SV University Engineering College10.110.72644324 76NIT9.111.835361 77 Vasavi College of Engineering7.111.84636100 78 The ICFAI Inst of Science and Technology11.69.713521521 79NIT9.210.23448196 80 Cummins College of Engg for Women11.310.116491089 81VIT1010.52746361

32. 82 Shri Ramdeo Baba K.N. Engineering College8.29.74252100 83 Muffakham Jah Engineering College10.212.4253025 84 Karunya Institute of Technology8.412.34131100 85D.J. Sanghvi9.5113141100 86 Sathyabhama Engineering College8.211.84236 87 Kongu Engineering College8.511.240 0 88 Mepco Schlenk Engineering College8.510.840439 89 Guru Nanak Dev Engineering College8.811.638 0 90 Hindustan Inst of Engineering Technology9.310.23348225 91 SDM College of Engineering9.611.7303749

33. 92 R.V.R. & J.C. College Of Engg8.711.239401 93 Jamia Millia Islamia, New Delhi8.710.8394316 94 K.L. College of Engineering7.510.744 0 95 Dharmsinh Desai Institute of Technology9.110.13549196 96 S.G.S. Institute of Technology & Science9.510.33147256 97 Jabalpur Engineering College8.511.8403616 98 Sree Chitra Thirunal College of Engineering8.79.93950121 99 G.H. Patel College of Engg & Technology7.49.6455364 100 Kalinga Institute of Industrial Technology8.59.84051121 Total (D)14768

34. Rank correlation 1-6∑D^2+(m^3- m/12)/n(n^2-1) sum of squares of the differences D14768 no. of repetitionsm**2382 0.910192019 The rank correlation is calculated from the above procedure. Where the sum of the squares of the differences of the rank are taken. Since we have repetitive ranks, a modified formulae is used which is shown in the above tabular column. Using this approach the Rank Correlation is found to be.9101