Faculty                                   : Mathematics and Natural Sciences
Study Program                       : Mathematics Education
Course & Code                       : Elementary Statistics, MAA 306
Credit Hours                           : Theory 2 credit, Practice 1 credit
Semester                                 : II Prerequisites & Code               : None

Lecturer                                  : Kismiantini, M.Si.

### I.    COURSE DESCRIPTION

This course is designed for students who need an elementary knowledge of statistics.
Concepts of statistics, variables and measurement scales are studied on the first meeting. The basic ideas of descriptive statistical methods are considered, including table and diagram, measures of central tendency, measures of variation, and measures of location. It is also permutation, combination and rules of probability, random variables together with well-known probability distributions such as Bernoulli, binomial, hypergeometric, Poisson, normal, t, chi-square, F distributions and sampling distribution. For making statistical inferences, it needs parameter estimation and hypothesis testing theory.

### II.  BASIC OF COMPETENCY

The  students  have  ability  to  understand  basic  concepts  of  statistics,  calculate  of
measure of central tendency from data, measures of variation and measures of location from  data,  make  frequency  distribution,  understand  combinatorics,  probability, discrete random variables and the distribution, continuous random variables, standard normal distribution, t distribution, F distribution, chi-square distribution, sampling theory and do parameter estimation and hypothesis testing.

### III. ACTIVITIES PLAN

 Meeting Based Competency Subject Matter Activities References 1 To explain based concepts of statistics Concepts of statistics, variables and measurement scales Discussion & Exercises A: 2-19 B: 1-9 2-5 To make a description of data, and calculate mean, median, mode Description of data : table and diagram, sigma notation, measures of central tendency (mean, median, mode) Discussion & Exercises A: 36-72 B: 41-116 6-9 To calculate standard deviation , variance, quartile, decile, percentile Measures of variation (standard deviation, variance), measures of location (quartile, decile, Discussion & Exercises A: 73-101 B: 117-145
 percentile) 10-12 To explain the basic of principle of counting, permutation, combination and to learn probability Combinatorial analysis (the basic principle of counting, permutation, combination), probability, conditional probability, Bayes’s Rule Discussion & Exercises A: 118-176 B: 181-243 13-15 To recognize and learn probability distribution of discrete random variables Probability distributions of discrete random variables: Bernoulli, binomial, hypergeometric, and Poisson Discussion & Exercises A: 180-217 B: 265-327 16 Test I 17-18 To explain some of probability distribution of continuous variables Probability distributions of continuous variables: normal, t, chi-square, and F Discussion & Exercises A: 224-248 B: 335-379 18-20 To explain sampling distributions Sampling distributions: the sampling distribution of mean, proportion, variance, standard deviation, the difference of two means, the difference of two proportions, and the ratio of two variances Discussion & Exercises A: 249-258 B: 403-430 21-25 To gain ability to make statistical inferences using point estimation and interval estimation Parameter estimation: point estimation and interval estimation, confidence interval for one mean, one proportion, one variance, two means, two proportion, two variances Discussion & Exercises A: 296-359 A: 436-486 B: 437-725 26-31 To gain ability to make statistical inferences using hypothesis testing Hypothesis testing: about one mean, one proportion, one variance, the difference of two means, the difference of two proportions, and the ratio of two variances Discussion & Exercises A: 366-427 A: 436-486 B: 481-725 32 Test II
IV. REFERENCES
A.  Compulsory textbooks         :
Triola, Mario F. 2004. Elementary Statistics. New York: Addison-Wesley.
B.  Suggested reference books  :
Weiss, Neil A. 1995. Introductory to Statistics. New York: Addison-Wesley.