CHAPTER 5
Numerical descriptive measures
Chapter outline
5.1
5.2
5.3
5.4
5.5
5.6
Measures of central location
Measures of variability
Measures of relative standing and box plots
Approximating descriptive measures for
grouped data
Measures of association
G
1
A QUICK REVIEW OF TOPIC 5
2
In Topic 5, we introduced the concepts & techniques
of probability and discussed the concepts of random
variable & discrete random variable.
We then discussed two descriptive measures to
describe the centre and spread of ra
TOPIC 2: DATA COLLECTION
& PRESENTATION
Chapter 2
TYPES OF DATA, DATA
COLLECTION AND
SAMPLING
Learning objectives
LO1 Describe different types of data
LO2 Understand the primary and secondary
sources of statistical data
LO3 Explain the various methods of
TOPIC 3: DATA COLLECTION &
RESENTATION: GRAPHICAL AND
TABULAER TECHNIQUES FOR
DECSION MAKING
Chapter 3: Graphical descriptive
techniques Nominal data
Learning Objectives
LO1 Understand how to present and summarise nominal
data
(ie, categorical or qualitat
TOPIC 3: (CONTINUE)
Chapter 4: Graphical
descriptive techniques
Numerical data
Learning objectives
LO1
Understand how to tabulate and construct
graphs to summarise numerical data
LO2 Understand how to use graphs to analyse timeseries data
LO3 Use various
Session 7 Slides
Confidence Interval Estimation For The Mean
Estimation of
We will begin by assuming is known
We will deal with an unknown later in this
session
Estimation of
Point Estimate for a Parameter: Using
to estimate
Sample means vary from samp
Session 10 Slides
Bivariate Data Relationships and
Correlation
1
Bivariate Data
Bivariate Data: Consists of the values of two different response variables that are
obtained from the same population of interest
Three combinations of variable types:
1. Both
Session 3 Slides
Descriptive Analysis &
Presentation of Single-Variable Data
Continued
1
Measures of Central Tendency
Numerical values used to locate the middle of a set of data, or where the
data is clustered
The term average is often associated with all
Lecture 2
Descriptive Analysis &
Presentation of Single-Variable Data
1
Lecture Goals
This topic will be presented over two weeks.
Learn how to present and describe sets of data.
Learn measures of central tendency, measures of dispersion (spread),
measure
Session 9 Slides
Hypothesis Testing of Population Mean
(Sigma Known and Unknown)
Hypothesis test of mean
A Classical Approach:
The assumption for hypothesis tests about mean using a known
: The sampling distribution of x has a normal distribution
Recall
Session 6 Slides
Sampling Variability
Sampling Distribution of
Sample Means
If the probability distribution is normal we can
make inferences about the population.
Sampling Distribution of
Sample Means
X
P( X )
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3
Summation Notation
This section offers an introduction to the use of summation notation. Because
summation notation is used extensively throughout statistics, you should
review this section even if youve had previous exposure to summation
notation. Our co
Greek Symbols
Some students may have difficulty with the use of Greek Symbols. To help overcome this problem a
list of Greek Letters with their names and usual statistical meaning is provided.
Large
Character
Small
Character
Name
Large
Character
Small
Cha
Question 1
A national survey found that 17% Of Australians consume milk with their breakfast.
However, in Victoria, a large milk producer believes that more than 17% of Victorians
consume milk with their breakfast. To test this idea, a marketing organisat