Sillaby of Elementary Statistics Major Mathematics Education Semester 2 / II

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.