Facts and figures collected, analyzed, and summarized for presentation and interpretation
Statistics
The art and science of collecting, analyzing, presenting, and interpreting data
Statistics is more information, more understandable, and more organized compared to raw data
For a particular study, data are the facts and figures collected, analyzed, and summarized for presentation and interpretation
All the data collected in a particular study are referred to as the data set
Elements
The entities (individuals/objects) on which data are collected
Variable
A characteristic of interest of the elements
Observation
The set of measurements obtained for a particular element
The table shows the means of transport used by people attending different types of educational institutions in 2001
Means of transport used by people attending an educational institution
On foot
By bicycle
By motorcycle
By car as a driver
By car as a passenger
By mini-bus/taxi
By bus
By train
Other
Types of educational institutions
Pre-school
School
College
Technikon
University
Adult education centre
Other
Data versus Statistics
Table 2: Means of transport used by people attending an educational institution by type of institution (numbers), 2001
Data: Facts & figures collected, analysed and summarized for presentation and interpretation
Statistics: The art and science of collection, analyzing, presenting and interpreting data
Elements: Entities on which data is collected
Variables: Characteristics of interest for the elements
Observation: A set of measurements obtained for a particular element
Variable: A characteristic of interest regarding the elements
When collecting data ask yourself: What is the exact definition of each variable? In what unit of measurement is each variable recorded?
Data set: A collection of data
Statistics: Numbers that summarize data
Climate of provincial capitals
Variables
Temperature(oC)
Hours of sunshine
Rainfall(mm)
Number of rain days
Annual rainfall (mm)
Elements
Eastern Cape
Free State
Gauteng
KwaZulu-Natal
Mpumalanga
Bisho
Bloemfontein
Johannesburg
Pietermaritzburg
Nelspruit
Statistics
The process of using data obtained from a sample to make estimates or test hypotheses regarding the population
Assume
To take for granted or without proof
Descriptive Statistics
Tabular, graphical, and numerical summaries of data
Inferential Statistics
The process of using data obtained from a sample to make estimates or test hypotheses regarding the population
The process of using data obtained from a sample to make estimates or test hypotheses regarding the population
Describe
To give an account of in words
Express
To put (thoughts, feelings, etc.) into words
Explain
To make (something) clear or understandable
Illustrate
To clarify or explain by use of examples, analogy, etc.
Portray
To depict or represent in words
Population: Is the set of ALL elements of interest in a particular study
Sample: Is a subset of the population
The purpose of this study was to examine how sap-flow is affected by different variables
The objective of statistics is to make an inference about a population based on information contained in a sample from that population and to provide an associated measure of goodness for the inference
Different types of writing can sometimes be distinguished by the lengths of the word used