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statistics

a collection of numerical data presented in tables and graphs or as numbers that can be used to summarise the essential characteristics of the data.

Statistics are used in

weather forecasting, engineering, biology, geology and geography, nursing, education, sociology and psychology, and in legal proceedings.

Data

are measurements or observations that are collected as a source of information.

data unit

A data unit is one entity (such as a person or business) in the population being studied, about which data are collected.

data item

A data item is a characteristic (or attribute) of a data unit which is measured or counted, such as height, country of birth, or income.

observation

An observation is an occurrence of a specific data item that is recorded about a data unit.

dataset

A dataset is a complete collection of all observations.

population

population is used to denote all of the observations, measurements or data values for the characteristic of interest and a descriptive measure of this population is called a parameter.

census

When we make measurements on the entire population, this is a census


(x bar)

sample mean

s

sample standard deviation.

Descriptive statistics

is the branch of statistics concerned with the collection, organisation and presentation of data.

Inferential statistics

Inferential statistics or statistical inference is used to analyse sample data so that we can reach meaningful conclusions about the corresponding population.

variable

The characteristic being studied is called a variable if it can assume different values.

data

We use the term data when referring to the observed values of a variable.

Discrete variables

A variable that can assume only separate distinct values is called a discrete variable.

counting (that is, how many)

continuous variable

A variable that can assume any value within a given interval is called a continuous variable


There must be a continuous change (slow or rapid) rather than a jump from one value to another.


Continuous variables arise when quantities are measured


continuous variables are often recorded in discrete units because of the limitations and accuracy of measurement.