Matakuliah Tahun Versi : I0134 – Metoda Statistika : 2005 : Revisi Pertemuan 01 Data dan Statistika 1 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : • Mahasiswa dapat memberikan definisi istilah-istilah statistika, pengumpulan data dan skala pengukuran 2 Outline Materi • • • • • • Data Statistika Populasi dan Sampel Skala pengukuran Pengumpulan data Pengolahan dan Penyajian data 3 Introduction and Descriptive Statistics Using Statistics Percentiles and Quartiles Measures of Central Tendency Measures of Variability Grouped Data and the Histogram Skewness and Kurtosis Relations between the Mean and Standard Deviation Methods of Displaying Data Exploratory Data Analysis Using the Computer 4 1-1. Using Statistics (Two Categories) • Descriptive Statistics – Collect – Organize – Summarize – Display – Analyze Without generalization • Inferential Statistics - Predict and forecast values of population parameters - Test hypotheses about values of population parameters - Make decisions On basis of limited and incomplete sample information 5 Types of Data - Two Types Qualitative Categorical or Nominal: Examples are– Color – Gender – Nationality Quantitative Measurable or Countable: Examples are– Temperatures – Salaries – Number of points scored on a 100 point exam 6 Scales of Measurement • Nominal Scale - groups or classes –Gender • Ordinal Scale - order matters –Ranks • Interval Scale - difference or distance matters –Temperatures • Ratio Scale - Ratio matters –Salaries 7 Samples and Populations A population consists of the set of all measurements in which the investigator is interested. A sample is a subset of the measurements selected from the population. A census is a complete enumeration of every item in a population. 8 Simple Random Sample Sampling from the population is often done randomly, such that every possible sample of equal size (n) will have an equal chance of being selected. A sample selected in this way is called a simple random sample or just a random sample. A random sample allows chance to determine its elements. 9 Samples and Populations Population (N) Sample (n) 10 Why Sample? Census of a population may be: – Impossible – Impractical – Too costly 11 1-2 Percentiles and Quartiles Given any set of numerical observations, order them according to magnitude. The Pth percentile in the ordered set is that value below which lie P% (P percent) of the observations in the set. The position of the Pth percentile is given by (n + 1)P/100, where n is the number of observations in the set. 12 Example 1-2 (1) Raw Data A large department store collects data on sales made by each of of its salespeople. The number of sales made on a given day by each of 20 salespeople is shown on the next slide. Also, the data has been sorted in magnitude. 13 Selamat Belajar Semoga Sukses. 14