Introduction to Statistics (MTS-102)Introduction to Statistics (MTS-102)

Instructors: Instructors: Ms. Aniqa Kashif, Dr. Musarrat A. Khan, Ms. Aniqa Kashif, Dr. Musarrat A. Khan,

Ms. Rubina Sethi & Ms. Rubina Sethi & Mr. Yaseen Ahmed MeenaiMr. Yaseen Ahmed Meenai

Course Outline Review

BBA-II, BS, BBA (exec)Spring Semester - 2009

Course Description:Course Description:

The course content includes; types of The course content includes; types of data, frequency distributions, measures of data, frequency distributions, measures of central tendency and dispersion, central tendency and dispersion, exploratory data analysis, introduction to exploratory data analysis, introduction to set and probability theory, events and set and probability theory, events and laws of probability, independence, laws of probability, independence, conditional probability, discrete random conditional probability, discrete random variables, Binomial and Poisson variables, Binomial and Poisson distributions, index numbers and time distributions, index numbers and time series (series (IBA prog. Ann. 2008-09IBA prog. Ann. 2008-09) )

Prerequisites:Prerequisites: Business Maths, Remedial Business Maths, Remedial College Algebra College Algebra

Recommended Text & Ref. Recommended Text & Ref. Books:Books:

Neil A. Weiss; Introductory Statistics, Neil A. Weiss; Introductory Statistics, Addison Wesley (5th Edition)Addison Wesley (5th Edition)

Ronald E. Walpole (3rd. Ed.); Ronald E. Walpole (3rd. Ed.); Elements of Statistics & ProbabilityElements of Statistics & Probability

______________________________________________________ Handouts by the instructorHandouts by the instructor

Grading PlanGrading Plan1. 3 quizzes (will consider best of 2)1. 3 quizzes (will consider best of 2)

10 marks10 marks

2.2. 2 Hourly/Term Exams2 Hourly/Term Exams40 marks40 marks

3.3. Term Report (Based on projects & case studies)Term Report (Based on projects & case studies)10 marks10 marks

4.4. Home assignmentsHome assignments10 marks10 marks

5.5. Final ExaminationFinal Examination30 marks30 marks

100 marks (total)100 marks (total)

Course OutlineCourse Outline

Chapter 1 : Presentation of DataChapter 1 : Presentation of Data Introduction, Types of Data, Introduction, Types of Data,

Quantitative, Qualitative Data. Quantitative, Qualitative Data. Tabulation of Data, frequency Tabulation of Data, frequency distributions, Intervals, limits and distributions, Intervals, limits and boundaries. Graphical Presentation, boundaries. Graphical Presentation, Bar Charts and histograms, Bar Charts and histograms, Frequency polygons, Pie diagramsFrequency polygons, Pie diagrams

Sessions required? _____Sessions required? _____

Course OutlineCourse Outline Chapter 2 : Statistical MeasuresChapter 2 : Statistical Measures Introduction and Notation, variable and Introduction and Notation, variable and

summation notation. The Arithmetic mean, summation notation. The Arithmetic mean, for a set, for a frequency distribution, the for a set, for a frequency distribution, the method of coding. The Median, mode and method of coding. The Median, mode and the geometric mean, quantiles, the geometric mean, quantiles, Elementary measures of dispersion. The Elementary measures of dispersion. The range, mean deviation, standard deviation range, mean deviation, standard deviation & variance. Exploratory Data Analysis, & variance. Exploratory Data Analysis, Moments and measures of skewness & Moments and measures of skewness & kurtosiskurtosis

Sessions required? _____Sessions required? _____

Course OutlineCourse Outline

Chapter 3 : ProbabilityChapter 3 : Probability Introduction, Elementary set theory, Introduction, Elementary set theory,

Experiments and Events, types of Experiments and Events, types of Events, Elementary probability. Events, Elementary probability. Conditional Probability & Conditional Probability & Independence, Baye’s TheoremIndependence, Baye’s Theorem

Sessions required? _____Sessions required? _____

Course OutlineCourse Outline

Chapter 4 : Random VariablesChapter 4 : Random Variables Discrete Random variables, Density Discrete Random variables, Density

functions. A probability distribution.functions. A probability distribution. Mathematical Expectation, properties Mathematical Expectation, properties

of the operator ‘E’, variance of of the operator ‘E’, variance of random variable ‘X’, moments of random variable ‘X’, moments of probability distribution, moment probability distribution, moment generating function (MGF) generating function (MGF)

Sessions required? _____Sessions required? _____

Course OutlineCourse Outline

Chapter 5 : Chapter 5 : Some special probability distributionsSome special probability distributions

Introduction, related mathematics. Introduction, related mathematics. The Binomial distribution, Poisson The Binomial distribution, Poisson distribution, mean and variance of distribution, mean and variance of Binomial & Poisson distributionsBinomial & Poisson distributions

Sessions required? _____Sessions required? _____

Course OutlineCourse Outline Chapter 6 : Chapter 6 :

Time Series & Index NumbersTime Series & Index Numbers• Introduction, components of the time Introduction, components of the time

series, multiplicative & additive models. series, multiplicative & additive models. The trend exploration techniques, semi The trend exploration techniques, semi average technique, moving averages, average technique, moving averages, method of least squares.Index numbers, method of least squares.Index numbers, price relatives, simple and multiple index price relatives, simple and multiple index numbers, value index, Laspeyre’s , numbers, value index, Laspeyre’s , Paasche’s and Fisher indexPaasche’s and Fisher index

• Sessions required? _____Sessions required? _____

Course OutlineCourse Outline

Computer Lab sessionsComputer Lab sessions Introduction to MINITAB & SPSS Introduction to MINITAB & SPSS

(statistical packages), computing (statistical packages), computing measures by using commands & measures by using commands & MACRO programmingMACRO programming

Thankyou Thankyou