Descriptive Statistics

By Dr Vidya Raju | Yuvaraja's College

Learners enrolled: 1925

The course content starts with initial exploration of data, data types, frequency distribution, verity of graphical and diagrammatic representation of data, Graphical summery, purpose and explanation of the distribution of the data, various measures of central tendency, various measures of dispersion, moments, skewness and kurtosis, curve fitting, scatter diagram, correlation and regression, rank correlation, multiple and partial correlation and regression, and coefficient of determination

Summary

Course Status :	Completed
Course Type :	Elective
Duration :	12 weeks
Category :	Mathematics
Credit Points :	4
Level :	Undergraduate
Start Date :	17 Jan 2022
End Date :	11 Apr 2022
Enrollment Ends :	28 Feb 2022
Exam Date :

Page Visits

Course layout

Week 1:
1. Types of Statistical Data/
2. Primary Data/
3. Secondary Data/
4. Frequency Distribution/

Week 2:
5. Diagrammatic and Grouped data/
6. Stem and Leaf plot/
7. Box Plot/
8. Concept of Central Tendency/

Week 3:
9. Arithmetic Mean/
10. Geometric Mean/
11. Harmonic Mean/
12. Median and Mode/

Week 4:
13. Arithmetic Mean, Weighted Mean, Trimmed Mean, Corrected Mean-Part-1/
14. Arithmetic Mean, Weighted Mean, Trimmed Mean, Corrected Mean-Part-2/
15. Mode, Median and Partition values (Part I)/
16. Mode, Median and Partition values (Part II)

Week 5:
17. Measures of Dispersion/
18. Concept of variation and dispersion/
19. Absolute and Relative Measure of Dispersion (Part-1)/
20. Absolute and relative measures of dispersion (Part -2)

Week 6:
21. Moments/
22. Skewness and Kurtosis and their measures/
23. Problems on Moments, Skewness & Kurtosis

Week 7:
24. Problems on association of attributes/
25. Fitting of curves by least square method/
26. Fitting of Linear curve

Week 8:
27. Fitting of Parabolic curves/
28. Fitting of Exponential curve/
29. Fitting of Geometric Curves

Week 9:
30. Scatter diagram/
31. Product Moment correlation coefficient and its properties/
32. Practical- Problems on product moment correlation co-efficient

Week 10:
33. Rank correlation/
34. Practicals on rank correlation coefficient/
35. Fitting of Linear Regression and Related Results

Week 11:
36. Practicals : Problems on regression of two variables/
37. Multiple correlation and regression in three variables/
38. Measures and related results of multiple and partial correlation and regression in three variables

Week 12:
39. Partial correlation and regression in three variables/
40. Practicals on partial & multiple correlation & regression/
41. Co-efficient of determination

Books and references

1. Gupta, SC., & Gupta, Indira., Business Statistics, Himalaya Publication (5th Edition), 2010 – 714p

2. Dr. Sathyaprasad, BG., Chikkodi, CM., Business Statistics, Himalaya Publications, 2006

3. Agarwal, DR., Business Statistics, Vrinda Publications, 2009 – 864p

4. Aggarwal, SL., Business Mathematics & Statistics, Kalyani Publishers, 2007

5. Gupta, SP., Statistical Methods, Sultan Chand & Sons, 2009 – 1476p

Instructor bio

Dr Vidya Raju

Yuvaraja's College

I am Dr. Vidya Raju, Course Co-ordinator for DESCRIPTIVE STATISTICS course under Massive Open Online Courses (MOOCs) currently work as an Associate Professor at the Department of Statistics, Yuvaraja’s College, University of Mysore, Mysuru.

ACADEMIC DISTINCTIONS:

* Delivered 16 E-content Modules for NMEICT-MHRD project—Sakshath, National Mission on Education through ICT, 2014-15 v Delivered 05 E-content Modules for NMEICT-MHRD project—Sakshath, National Mission on Education through ICT, 2016-17.

* Edited more than 40 episodes in Statistics, the E-content Modules for NMEICT-MHRD project—Sakshath, National Mission on Education through ICT during 2014-16

* Research project entitled “A Study on Road Accidents in Mangaluru District ” under inspire scholarship in the subject statistics submitted by Anusha, INSPIRE Scholar St. Agnes College, Mangalore was submitted to DST under my supervision(2015)

* Delivered several Lectures in RIE on the topic “ Creating and Handling real Life Data”

KEY RESEARCH AREAS:

* Statistical Quality Control

* Multiple and Count regression

Course certificate

Assessment/Assignment marks will be considered for Internal Marks and will carry 30 percent for overall Result.

End Term Exam- will have 100 questions and will carry 70 percent of overall Result.

*All students, who obtain 40% marks in in-course assessment and 40% marks in end-term proctored exam separately, will be eligible for certificate and credit transfer.

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