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Lecture

# Descriptive statistics.docx

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School
McMaster University
Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
September 11 , 2012 STATS 2B03: Statistical Methods for Science Descriptive Statistics (1) Organizing Data - Example: 2.8, 2.9, 3.0, 3.2, 5.4, 6.7, 6.9 - Leaf unit = 0.1 - In brackets you put the median 2 2 8, 9 (2) 3 0, 2 3 4 3 5 4 2 6 7, 9 Measures of Central Tendency - the average of a sample, X , 1 ,…2 X isncalled the sample mean (or just the mean) and I denoted by X , i.barX bar= (X1+ X +2… + X )/n = Σ x i=1in - the average of the population X , X1, …2 X isNcalled the population mean and is denoted by μ, i.e. μ = N Σ i=1/N X i - note that N is the population size - the mode of a data set is the value that occurs most often  e.g. 7, 8, 8, 8, 9, 9, 10, mode=8  e.g. 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, two modes: 8 and 9 - in a grouped data set the modal class is the group with the largest frequency  e.g. grouping and frequency table: modal class would be the group with the highest frequency which in this c
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