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STAT-205 Probability and Statistics

Statistics (University of Gujrat)

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Sixteen Week Plan

Department of Computer Science
Faculty of Computing & Information Technology
Hafiz Hayat Campus, University of Gujrat

Title Probability and Statistics

Code STAT-205
Credit hours 3.0
Prerequisite None
Category --
Unit 1.What is Statistics? Definition of Statistics, Population, sample Descriptive and inferential Statistics, Observations, Data,
Discrete and continuous variables, Errors of measurement, Significant digits, Rounding of a Number, Collection of primary and
secondary data, Sources, Editing of Data. Exercises.
Unit 2. Presentation of Data Introduction, basic principles of classification and Tabulation, Constructing of a frequency distribution,
Relative and Cumulative frequency distribution, Diagrams, Graphs and their Construction, Bar charts, Pie chart, Histogram,
Frequency polygon and Frequency curve, Cumulative Frequency Polygon or Ogive, Histogram, Ogive for Discrete Variable. Types
of frequency curves. Exercises.
Course Description Unit 3. Measures of Central Tendency Introduction, Different types of Averages, Quantiles, The Mode, Empirical Relation between
Mean, Median and mode, Relative Merits and Demerits of various Averages. properties of Good Average, Box and Whisker Plot,
Stem and Leaf Display, definition of outliers and their detection. Exercises.
Unit 4. Measures of Dispersion Introduction, Absolute and relative measures, Range, The semi-Interquartile Range, The Mean
Deviation, The Variance and standard deviation, Change of origin and scale, Interpretation of the standard Deviation, Coefficient of
variation, Properties of variance and standard Deviation, Standardized variables, Moments and Moments ratios. Exercises. Unit 6.
Regression and Correlation Introduction, cause and effect relationships, examples, simple linear regression, estimation of parameters
and their interpretation. r and R2 . Correlation. Coefficient of linear

This course is intended to provide understanding of basic statistical theory, techniques and application in different fields.
Aims & Objectives

Learning Outcomes --
 Clark, G.M and Cooke, D. (1998).” A Basic Course in Statistics “4th ed., Arnold, London.
Text Book  Weuss, N.A. (1997),”Introductory Statistics “4th ed. Addison-Wesly Pub. Company,Inc.
 Chaudary, S. M & Kamal,S.(1996).” Introduction to Statistical Theory Part I &II “6th ed.

Reference Books
&  Spiegel, M.R., Schiller, J.L. and Sirinivasan, R.L. (2000) “Probability and Statistics”, 2 nd ed. Schaums Outlines
Material Series.McGraw Hill. NY.
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 Clark, G.M and Cooke, D. (1998), “A Basic Course in Statistics” 4th ed, Arnold, London.
 Walpole, R.E., Myers, R.H and Myers, S.L. (1998), “Probability and Statistics for Engineers and Scientist” 6 th edition, Prentice
all, NY.
Mclave, J.T., Benson, P.G. and Snitch, T. (2005) “Statistics for Business & Economics” 9th Ed. Prentice Hall, New Jersey.
 Weiss, N.A. (1997), “Introductory Statistics” 4th ed. Addison-Wesley Pub. Company, Inc.
 Chaudhry, S.M.and Kamal, S. (1996), “Introduction to Statistical Theory” Parts I & II, 6thed, IlmiKitabKhana, Lahore,
Pakistan.
Assignment/Presentation (s): 10%
Grading Breakup Quizzes: 5%
and Policy Project: 10%
Midterm Examination: 25%
Final Examination: 50%

Recommendations
for Learning
Activities
Week Source
Lecture # TOPICS (Mention Assignments,
(Book, Chapter No)
Test, Case Study,
Projects, Lab Work or
Reading Assignments)

Introduction to basic statistical concepts, Application of statistics in different areas, variables

1 1,2 and their types
Arranging data in meaningful form using tables for both discrete and continuous variables
Displaying data in meaningful form using graphs and charts (Assignment
2 3,4
Construction of Graphs and Charts 1 & Quiz 1)
Introduction to measure of central tendencies and their applications in real life. Theoretical
(Assignment
aspects of measure of central tendencies.
3 5,6 2 and Quiz
Comparative analysis of measures of central tendencies with respect to merits, demerits and
2)
applications
4 7,8 Introduction to Quantiles, their theoretical aspects and applications in real life

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Midterm. Calculation of quantiles and interpretations.

Introduction to measures of absolute and relative dispersions and their applications in real
5 9,10 life. Theoretical aspects of measure of dispersions
Absolute measures of dispersion, types, introduction to range and Quartile deviation.
Mean deviation and variance and Standard deviation, their theoretical importance as absolute
6 11,12 measures of dispersion
Numerical questions of Absolute measures of Dispersion
Introduction to relative measure of dispersion, its theoretical importance as measure of
7 13,14
dispersion
Mid-Term Exam
8 15,16
Relative measures of dispersion, coeffients of Q.D, M.D and C.V
9 17,18 Exercise of measures of dispersions
Numerical questions of measures of dispersion (Exercise) Quiz 3
10 19,20
Assignment 3
Introduction to measures of Skewness and Kurtosis and their applications in real life.
11 21,22 Calculations and interpretations of measures of Skewness and Kurtosis
Numerical questions of Skewness and kurtosis
12 23,24 Introduction to Probability, Exercise, Conditional probability
Exercise of Correlation, Numerical questions
(Quiz 4 and
Introduction to Regression Analysis and its real life applications. Scatter plot and its
13 25,26 Assignment
importance in regression analysis. Simple linear regression models and detail of its different
4)
components.
Introduction to correlation and its application in real life situations. Formulas and
calculations of Pearson coefficient of correlation using SPSS. Properties of correlation
coefficient.
14 27,28
Introduction to Rank correlation and its applications. Formulas and calculations of Spearman
Rank correlation using SPSS. Difference between Pearson coefficient of correlation and
Spearman Rank correlation with respect to applications.
15 29,30 Presentations.
16 31,32 Presentations
Final Exam

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