2025-2026 2nd semester

 Course Outline (Expected Learning Outcomes):


A. Descriptive Statistics (Graphical and  Numerical Summaries)
B. Probability and Combinatorial  Probability
C. Some Probability Distributions
D. Sampling Distribution of Estimates
E. Statistical Inference I (Estimation)
F. Statistical Inference II (Hypothesis  Testing)
G. Simple Linear Regression and  Correlation Analysis
H. Multiple Linear Regression Analysis


References/Suggested Textbooks: 
  • Larsen, Richard and Marx, Morris L. (2001). An Introduction to Mathematical Statistics and its  Applications. Prentice Hall International, Inc. 
  • Peck, Roxy, Chris Olsen and Jay Devore. (2012). Introduction to Statistics and Data Analysis. 4th  edition, Brooks/Cole (Cengage Learning), Boston. 
  • Wackerly, Mendanhall and Scheaffer. (2008). Mathematical Statistics with Applications. 7th edition.  Brooks/Cole (Cengage Learning), Boston. 


Grading System: 50% passing grade

Lecture
  • Prelim Exam 20%
  • Midterm Exam 20%
  • Final Exam 30%
  • Class Activities 30%
    • Long Test/Problem Set/Project 18%
    • Quiz/Seatwork/Boardwork 12%
Lab
  • Lab Worksheets / Output 60%
  • Lab Exam 40%
Attendance Points:
  • Added Score (Number of Days Present minus Number of Days Absent)
  • + 3 for percentage grade for perfect attendance
    • ex. if your percentage performance score is 47.3% + 3 = 50.3% equivalent to pass

Google Classroom:
  • https://classroom.google.com/c/ODQxMjY2ODc2MzUy?cjc=siwtetpu


Jan. 30
  • Definition of Statistics
  • Types of Data
  • Methods of Collecting Data
  • Methods of Presenting Categorical Data
    • Tabular
    • Graphical
  • Seatwork 1
  • Methods of Presenting Numerical Data
    • Frequency Distribution Table (FDT)
    • Graphs derived from the FDT
      • bar graph
      • histogram
      • frequency polygon
      • ogive
  • Lab Activity 1 (FDT and graphs)

Feb. 6 (Class Suspended Due to Typhoon Basyang)
  • Reading Assignment
    • Stacked Bar Graph
    • Clustered Bar Graph
    • Line Graph
    • Dot Plot
    • Pareto Diagram
  • Assignment 1 due on Feb 13
    • Using the Covid Data, select the appropriate variables you can use to present them into graphs listed above (in the Reading Assignment). Choose only 3.

Feb. 13
  • Mathematical Notations (Summation)
  • Seatwork 2

  • Lab Activity 2

Feb. 20
  • Numerical Measures of Data
Seatwork (highlighted in blue)
    • I. Measures of Central Tendencies
      • Arithmetic Mean
      • Median
      • Mode
      • Note: 
        • sample mean and the arithmetic mean are the same denoted by 
        • Population Mean is given by
  
    • II. Measures of  Variability
      • Range
      • Variance
      • Standard Deviation
      • Coefficient of Variation
    • Seatwork 
    • III. Measures of Non-Central Locations
      • Percentile
      • Deciles
      • Quartile

  • IV. Measures of Skewness and Kurtosis
  • Seatwork by Group

Feb. 27

  • Numerical Measures of Data (Grouped Data)





  • Project 1 (by pair due on March 19)
    • Data file
    • Refer to the assigned observations to your group and make a Comprehensive Descriptive Report (Tables, Graphs, and Interpretation) for each (and/or pair of) variable.
      • Group 1: Observation 1 to 100
      • Group 2: Observation 101 to 200
      • Group 3: Observation 201 to 300
      • Group 4: Observation 301 to 400
      • Group 5: Observation 401 to 500
      • Group 6: Observation 501 to 600
      • Group 7: Observation 601 to 700
      • Group 8: Observation 701 to 800
      • Group 9: Observation 801 to 900
      • Group 10: Observation 901 to 1000
March 6
  • Sampling Techniques
  • Long Test 
    • Coverage: (Introduction up to Numerical Measures of Ungrouped Data)

March 12 (Department Exam - First Prelim)
  • Coverage: (Introduction up to Numerical Measures of Ungrouped Data)

March 13-20 (Ramadan Break)


March 27
  • Exercises:
    • 1. A college student must take a science course, an English course, and a statistics courses. She
    may take any of 3 statistics courses, how many ways can she arrange her program?
    2. How many distinct permutations can be made from the letters of the word “columns”? How
    many of these permutations starts with letter “n”?
    3. How many ways can 6 people be lined up in a bus?
    4. How many ways can a caravan of 8 covered wagons from Arizona be arranged in a circle?
    5. From a group of 4 men and 5 women, how many committees of size 3 are possible
    • a) with no restriction?
    • b) with 1 man and 2 women?
    • c) with 3 men and no women?
    6. How many different sums of money can be formed by taking two of the following coins: P10,
    P5, P1, .25c and 0.10c? (c means centavos)
    7. Suppose there are 4 objects {a, b, c, d}. If we arrange these objects two at a time, how
    many possible arrangements are there?

  • Probability
  • Assignment due on April 10
    • 1. Fifty balls are numbered 1 to 50, placed in a box, and mixed thoroughly. If a ball is picked at random, what is the probability that it has a
      • a. number divisible by 6?
      • b. number ending with 2?
      • c. number divisible by 6 or ends in 2?
    • 2. How many 4-digit numbers can be formed from the digits 8, 7, 5, 3 and 4 if
      • a. repetition of digits is not allowed and the number is odd
      • b. even number and the digits can be repeated
      • c. no restrictions
      • d. the number is even, repetition of digits is allowed, the number is greater than 5000.
    • 3. How many ways can a local chapter of the Association of Electrical Engineers schedule three speakers for three seminars if they are all available on any of five possible dates?
    • 4. Find the number of ways in which six teachers can be assigned to four sections of a Probability and Statistics course if no teacher is assigned to more than one section.

April 3 (Holiday)


April 10
  • Properties of Probability
  • Laws of Probability
    • Addition Rule
    • Multiplication Rule
  • Conditional Probability
  • Seatwork
  • Random Variable
  • Probability Distribution



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